ANCIENT STANDING STONE COMPLEX AT TAUPO, NEW ZEALAND
A SOUTHERN HEMISPHERE OPEN-AIR UNIVERSITY

It is becoming increasingly recognised around the world that anciently-built, structural anomalies exist for which our academics and institutions of higher learning have no plausible explanation … and thus ignore.

Not only do our modern-day experts deny the fact that ancient, great civilisations had high technology and well-developed sciences at various epochs, but they are also totally blind when it comes to seeing vividly-conspicuous structures “in plain sight” … if their education, illustrious peers or political agendas discount/forbid such structures to exist.

Under academia’s dogmatic isolationism religion, the pervading rule is that ancient peoples were stuck long-term within geographical boundaries and could not move beyond such things as oceans or mountain chain barriers and thus had to develop culturally in isolation, with few or no outside cultural influences entering in. Under this concept it would be unheard of to suggest that ancient people from the Middle East, Continental Europe or the British Isles could possibly find New Zealand at the opposite end of the globe.

However, another, albeit much-maligned, school of thought is diffusionism, which claims that the oceans of the world were highways, not barriers, and that cultures from all over the globe have been inter-relating and influencing each other from remote antiquity.

It is astounding that archaeologists can wander through, around or over particular ancient, purpose-built and utterly anomalous sites, but never notice anything unusual or out-of-place in the lay-out, sufficient to initiate a scientific investigation. If their education dictates that something can’t possibly be there in the landscape, then it’s emphatically not there in the landscape … end of story!

The last remnants of a glaringly anomalous, out-of-time-and-place site, comparable to “the elephant in the room scenario”, is found at Wharewaka, Taupo in New Zealand’s central volcanic plateau.

Giant obelisks, many standing upright and others recumbent, cover this hillock mound at Wharewaka, Taupo. From the centre hubstone (the largest obelisk of the site) the winter solstice sunrise is out of the high crater of extinct volcano, Mount Tauhara, seen in the centre of the picture. From the southern base of smaller Mount Maunganamu (right) “first glint” of the equinoctial sunrise occurs and the sun then climbs up the mountainside to launch itself into the sky.

The most basic feature that should have gained the undivided attention of archaeologists is the fact that many of the obelisks are in an unnatural standing position. If these were boulders spewed-forth from a violently erupting volcano, then they would neither look so regularly shark’s-fin shaped nor would they sit so perfectly upright. The visual evidence shows that the giant boulders have been carefully purpose-placed into individual positions after being chosen as markers due to their unique, sought-after shape.

Despite the visual evidence of a dynamic, sprawling, standing-stone archaeological site, a Taupo District Council publication states:
‘No archaeological sites are recorded within the lakeshore reserves.’ This statement encompasses the Wharewaka Reserve and its satellite parks, dotted with standing and fallen obelisks, cairns and laboriously built mounds.

Archaeologist, Perry Fletcher wrote in October 2003:

Conclusion.
In addition to my inspection in the field, from my search of site records, land transactions and public record, there is nothing exposed or suspected of any historic place within the area for the proposed subdivision to record, set aside, or protect by way of any evidence of occupation, (both European and pre-European) required by the relevant sections of the RMA and NZ Historic Places Act.

Thus, due to ineptitude, large sections of a world-class, standing obelisk site that was almost on a par with Avebury Henge in Britain and a multitude of other megalithic sites across Continental Europe, got ploughed under by bulldozer blades and eradicated forever.

The surviving giant hubstone at the centre of the site, (standing 7-8 feet high) from which all surrounding obelisks are purpose-placed at coded distances and angles. It sits unnaturally upright, whereas others in the background lie recumbent. The hubstone has the worn remnants of a bullaun bowl carved into its summit section.

From this position both the winter solstice and equinox sunrises can be read with accuracy, using the positions of two horizon mountains as outer-markers for these significant, annual solar events. There are still a few batches of obelisks placed much further afield of this central position to give fixes on true north, due east as well as other distance & angle codes of position. The rest have been allowed to be erased from history, due to ignorant people rubber-stamping permission for them to be destroyed.

By way of comparison, here’s a picture of a couple of obelisks at Avebury Henge, Wiltshire, Southern England. It’s doubtful that anyone with an ounce of common sense and analytical ability could conclude that these stones occurred naturally in this upright position. It’s glaringly obvious, looking over the totality of the site, that the huge obelisks have been laboriously hauled in and purpose-placed, standing erect, in designated positions away from a central hubstone.

From the hubstone at the Taupo, New Zealand site, the top of which can be seen in the lower part of the picture, the winter solstice sun emerges from the crater of extinct/dormant volcano, Mount Tauhara. This annual phenomenon provides a perfect calendar fix-date for the winter solstice and, from this, all other days in the 365.25-day annual count can be determined, with further solar checks at the equinoxes and summer solstice.

The carving of bullaun bowls into boulders is a very ancient cultural expression of megalithic Ireland especially, as elsewhere across Britain & Continental Europe, for blessing & cursing altars at waymark stations or holy wells. Several of the obelisks situated around Wharewaka reserve have bullauns carved into them, whereas others are incised with cross-hatching lines, once thought to be a cultural idiosyncrasy unique to Megalithic Britain.

Another of the perfectly upright, shark’s-fin shaped boulders, with Mt Tauhara (left) and Mt Maunganamu (right) looming above the horizon in the background.

And yet another of the many unnaturally erect standing stones that have the elongated shark’s-fin shape. It is worthy to note that these giant, shaped stones are commonly found at other “standing stone” circles (arrays) elsewhere in New Zealand, like at Maunganui Bluff, Northland, or Koru PA, Taranaki.

Here are two of the many “shark’s-fin” shaped boulders that were once component stones at an ancient standing stone circle (array) located at Maunganui Bluff, Northland, New Zealand. They served the same distance & angle function (away from a hubstone), for encoding special scientific numbers, as the Taupo site or the many similar megalithic sites of ancient Europe, etc.

The layout of obelisks for the immediate, central site is seen in this 1/11/2008 Google Earth image. Although this area of the site is still intact, a new bypass road to the east  and new subdivision to the north have eradicated many of the more distant marker obelisks that once sat further afield. The coordinates reading in the photo relate to the position of the hubstone.

Thankfully, another very important part of the site 1/4th of a mile to the NNE is still largely intact, including a substantial ancient mound. Other component outer-marker obelisks survive to the east, ESE and 3/4ths of a mile to the NW. The coordinates reading in the photo relate to the position of the hubstone.

The area of study, where some original component obelisks, mounds, cairns & sighting pits of the ancient complex remain in situ.
A large subdivision, main road and a new bypass highway have caused many of the outer marker structures to be forever eradicated, but sufficient remains to show how the standing stone array worked.

Like the European megalithic sites, this was an “open-air-university” for teaching students principles of cyclic astronomy, the lunisolar calendar system, as well as the equatorial circumference of the Earth (for grid referencing - positional plotting) under two main navigational systems. The scientific principles encoded into positions within this site were used throughout the Mediterranean, Continental Europe and Great Britain, as well as North & South America in ancient times and taught generations of people how to navigate to far-flung climes, like New Zealand at the very ends of the Earth.  
In the above picture the “hubstone” position is marked, as well as a giant obelisk with a seat carved into it, referred to as the “Devil’s Chair”. The dynamic function of that huge chair obelisk will be explained as we proceed.

THE CODES OF POSITION FOR THE OUTER MARKER OBELISKS & BOULDERS.

Firstly, it’s important to understand that the British Standard inch & foot have a very old pedigree, far more ancient than the known history of Britain itself. The self-same inch was used to build the Egyptian pyramids, the great standing stone complexes of Britain or Continental Europe, the temples and pyramids of South America, as well as the mounds and geometric earth embankment complexes of North America, etc., etc.

Archaeologist, J. Ralston Skinner, who undertook precise surveys of Ohio's geometric earth embankments in the 19th century concluded that the mound builders of the Ohio Valley had positively used the increment known as the British standard inch in the design and construction of the geometric complexes he surveyed. See: Skinner, J. Ralston. "Identification of the British Inch as the Unit of Measure of the Mound Builders of the Ohio Valley." Journal of the Cincinnati Society of Natural History Vol. 9 (July 1886), pp. 51-63.

All of the cubits or larger & smaller measurement increments of the great civilisations of antiquity in the Mediterranean and European theatres, as elsewhere, were based upon the same inch. The cubits or miles’ standards of one nation would be in direct ratio with the standard of another nation and commonly shared between cousin nations.

The special scientific information encoded by numbers into standing stone circles or mound complexes remains the same, continent-by-continent, wherever the ancient cousin nations went to set up civilisations or mining colonies. This fact remains true for the ancient inhabitants of New Zealand as well. We can trace the movement of a particular group of cousin nations across the world by the mathematical fingerprints they left in the landscapes.

So, let’s begin, using the same measurement and angle methodologies that we would apply if deciphering Avebury Henge in Southern England, Brodgar Ring in Scotland or the pyramids of Egypt, etc. :

THE TRUE NORTH MARKERS

Situated 120’ due north of the hubstone is a fallen obelisk. The distance code for this on-site position would also have been read as 120.96’ & 121.5’. However, the ancient builders of the site established a far-distant true-north marker over 4 ½ miles away on a high hill for a very accurate reading on “True North”.

The True North markers, offering nearly perfect accuracy, are these two stones situated at Taupo View Lookout, at a distance intended to code or represent 24750-feet away (4.6875-miles …. 4 & 11/16ths miles of 5280-feet or 4 & 1/6th  ancient Scottish miles of 5940-feet).

 About 265-feet further north of this double-set of markers, on yet higher ground, a distance of 24750-feet from the hubstone was achieved. This distance would also be 14400 Egyptian Royal cubits of 20.625-inches each. Using the 20.625-inch Egyptian Royal cubit, 24750-feet would be 1/5280th of the equatorial circumference of the Earth under the “11” family of numbers navigational system.  
The arrow at the top left points at the 3 snow-clad mountains of the Central Volcanic Plateau, situated between 40 & 50-miles SSW across Lake Taupo.

A vertical arrow points to the approximate spot where the hubstone of the Wharewaka standing stone array of obelisks is located, in relation to the due-north marker stones of Taupo View Lookout.

Taupo View Lookout on Huka Falls Road, an elevated part of the city with spectacular views over the lake to the majestic mountains beyond.

From this ancient assembly area, with its array of purpose-placed obelisk stones still in situ, Mount Tauhara is the outer-marker for both the summer solstice sunrise (southern edge) and equinox sunrise (northern edge) respectively.  Coordinates at the bottom of the Google Earth  picture pinpoint the location and this was obviously an outer-satellite site for the Wharewaka observatory located 4.6-miles due south.

From the Taupo View Lookout there would be a very good fix on the summer solstice sunrise at the southern end of Mount Tauhara. The equinox sunrises (vernal & autumnal) would be slightly to the north of the mountain. This obelisk site sits on a return angle of 179.2-degrees back to the hubstone at Ernest Kemp Rise, Wharewaka and this value (1792) is a strong, ancient navigational code.

The large obelisk boulder to the left of the picture was undoubtedly the hubstone of this satellite mini-observatory, where further tutorials related to the numbers of civilisation could be taught to initiates (the brightest & the best of the children … the few set aside to bless the many).

THE TRUE EAST MARKER FOR THE WHAREWAKA OBSERVATORY HUBSTONE.

From the hubstone at Wharewaka, the due east marker stone lies recumbent @ 960’ from the hubstone or 5 X the distance of the site’s close-in, due north marker, 120-feet from the hubstone.

In the above picture, the larger stone above the due-east line sits at a coded distance of 972’ from the hubstone @ 88-degrees. The 360-degree compass system is steeped in antiquity and is said to have been devised by the Sumerians (circa 3000 BC) but is obviously far older than that civilisation.

A magnified shot of the two boulders mentioned, with Mount Maunganamu in the background.

At the high inland terrain of the central volcanic plateau the larger boulder, @ 88-degrees azimuth, is on a perfect alignment to the southern base edge of Mt Maunganamu where first glint of the equinoctial sunrise would occur. The standing boulder therefore doubles as an equinox alignment outer-marker from the observer’s position at the hubstone. The now recumbent boulder in the above photo indicates due east or 90-degrees azimuth from the hubstone.

These first numbers mentioned, as distance and angle values out from the hubstone, are found repeatedly on Mediterranean and Continental European or British megalithic sites, so what scientific information or tutorials for students are encoded into these stone positions?

1. 120’ @ 90-degrees.

A mathematical progression based upon 12 or 120 goes:

120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040, 2160, 2280, 2400, 2520, 2640, 2760, 2880, 3000, 3120, 3240, 3360, …. 5280, … 5760, … 7560, … etc.

The sum of 120-degrees would be 1/3rd of the 360-degree compass, 1320’ would be 1/4th of a mile of 5280’, 2160-years would be 1/12th of the 25920-year cycle of the Precession of the Equinoxes and the number of years the sun spends in each house of the zodiac during the cycle of precession, 25.2-inches would be 1 Assyrian cubit or 2 Greek feet,  756’ is the length of one side of the Great Pyramid of Egypt or 1/8th of 1-minute of equatorial arc for a world calculated to be 12 X 12 X 12 X 12 X 1.2 miles of 5250’ each (so-called ancient Greek miles) = 24883.2-miles.

2. A stone set at true north (0 or 360-degrees) would be very important for anyone wanting to accurately determine angles to any target on the horizon. Ancient surveyors of circa 3000 BC and thereafter used alidade sighting rules that could spin through a 360 degree calibrated circle drawn on a wooden plane table. Such a device set up atop the designated hubstone from which all reading were taken, would first be zeroed onto the true north obelisk position 120’ away. A second check would be to sight down the alidade sighting rule to the 90-degree positioned obelisk 960’ away at due east. Once accuracy was achieved one could swivel the sighting rule, say, to point at the cone summit of Mount Ruapehu volcano and know that it sat away at 215.6-degrees azimuth.

3. The larger boulder sitting upright over to the east @ 88-degrees and 972’ distant provided the following distance and angle encoded information:

A mathematical progression based upon 97.2 goes:

97.2, 194.4, 291.6, 388.8, 486, 583.2, 680.4, 777.6, 874.8, 972, 1069.2, 1166.4, 1263.6, 1360.8, 1458, 1555.2, 1652.4, 1749.6, 1846.8, 1944, … 2430, … 3110.4, …. 3402, … 12441.6, … 24883.2.

This string relates to what Julius Caesar said about the druidic preoccupation of lecturing concerning "the magnitude of the Earth and its divisions", in values of 1/2, 1/4, 1/8th, 1/16th, 1/32nd, 1/64th, 1/128th, 1/256th, etc. In this line-up the sum of 97.2-miles would be 256th of the 24883.2-mile circumference, whereas 1555.2-miles would be 1/16th part and 12441.6-miles half.
Important numbers that occur in this string that were used in other calculation functions are: 58.32 (1 Roman Pace was made up of 5 Roman feet of 11.664-inches each), 6804 (the number used in ancient times to describe the duration of the lunar nutation cycle in days), 1360.8 (with the Earth anciently described as having a circumference of 24883.2-miles, that means it is rotating at a rate of 1036.8 MPH in a 24-hour period).

As for the 88-degrees angle that this boulder sits at away from the hubstone, we have the following progression:

88, 176, 264, 352, 440, 528, 616, 704, 792, 880, 968, 1056, 1144, 1232, 1320, … 1584, … 1760, …  2112, … 5280, … 11000, etc.

This is an “11” number family progression, with all values listed divisible by “11”. It was out of the “11” family that the so-called British Standard mile (5280-feet) and league (16500-feet) were created for navigation overland or across the vast, featureless oceans. The “11” system was particularly accurate for positional plotting and dead-reckoning at sea, as straight line sea-leg tacks, in leagues, convert to sexagesimal circles on the navigator’s plotting table, which are fluidly divisible by 360-degrees. This meant that the angle back to the port of departure or onwards to the destination port could be calculated with excellent relative accuracy, despite many course changes over a ley-line when zig-zagging a sailing-ship on the wind.

IS THERE ANYTHING IN HISTORICAL TEXTS TO CORROBORATE THIS KIND OF ACTIVITY?

Julius Caesar, who was a very thorough historian, writes the following regarding the late era druids of his time (circa 55 BC) and practices within their many universities in Britain, where students from Gaul and elsewhere, including Rome, went for training:

'They hold aloof from war and do not pay war taxes; they are excused from military service and exempt from all liabilities. Tempted by these great advantages, many young men assemble of their own motion to receive their training, many are sent by parents and relatives. Report says that in the schools of the Druids they learn by heart a great number of verses, and therefore some persons remain twenty years under training'.
'They do not think it proper to commit these utterances to writing*, although in all other matters and in their public and private accounts they make use of Greek characters. I believe that they have adopted the practice for two reasons- that they do not wish the rule to become common property, nor those who learn the rule to rely on writing and so neglect the cultivation of memory; and, in fact, it does usually happen that the assistance of writing tends to relax the diligence of the student and the action of memory...They also lecture on the stars in their motion, the magnitude of the Earth and its divisions, on natural history, on the power and government of God; and instruct the youth in these subjects' (see De Ballo Gallico, VII, 15, 16.).

*Note: They encoded their navigational & cyclic astronomy sciences in numbers, by building standing stone circles and arrays out from a hubstone. The special numbers were extractable by length measurements and angle readings within a 360-degree compass disc. The huge, durable stones thus became silent sentinels and repositories of codes for as long as they remained in position, spanning thousands of years.

Historian, Isabel Hill Elder writes, 'The students at these colleges numbered at times sixty thousand of the youth and young nobility of Britain and Gaul. Caesar comments on the fact that the Gauls sent their youth to Britain to be educated...It required twenty years to master the complete circle of Druidic knowledge. Natural philosophy, astronomy, mathematics, geometry, medicine, jurisprudence, poetry and oratory were all proposed and taught-natural philosophy and astronomy with severe exactitude' (Elder refers to Strabo I IV, page 197. Caesars Comm. Lib V. Sueotonius, V Calegula. E. Campion, Accounts of Ireland, pg. 18.).

Isabel Hill Elder further writes, 'The education system adopted by the Druids is traced to about 1800 BC when Hu Gardarn Hysicion (Isaacson), or Hu the Mighty, led the first colony of Cymri into Britain from Defrobane, where Constantinople now stands'.

Further commenting on Hu Gardarn Hysicion, Isabel Hill Elder writes that he, 'is commemorated in Welsh archaeology as having made poetry the vehicle of memory'. Elsewhere she writes, he 'is said to have mnemonically systematized the wisdom of the ancients...'.

She goes on to say, 'The published compositions of the Druids and Bards form but a very small portion of the extant remains of their works. The Myvyrian MSS. alone, now in the British Museum, amount to 47 volumes of poetry, in 1600 pages, besides about 2000 epigrammatic stanzas. Also in the same collection are 53 volumes of prose, in about 15,300 pages, containing many curious documents on various subjects...' (see Celt, Druid and Culdee, pages 54 & 55).

With the testimony of Julius Caesar ringing in our ears, let’s see how the druids would have mathematically encoding astronomical cycles, ("the stars in their motion"), navigation systems ("the magnitude of the Earth and its divisions"), ... "astronomy, mathematics, geometry" ... "and astronomy with severe exactitude".

THE TONGARIRO MOUNTAIN BENCHMARK

A surveying line of 220-degrees runs for 35.5-miles from the hubstone to the highest surviving region of Mount Tongariro, a dormant volcano that periodically erupts. The line skims past the SE edge of Motutaiko Island, providing a secondary station for correct orientation to the benchmark target.

From the hubstone position, a surveying line resolves upon the highest terrain of Mount Tongariro (which translates to, ”going to the south”).

The whole number angle of 220-degrees to Tongariro could be used for accurately calibrating a 360-degree disk for fixes onto all other visible targets around the horizon. The three majestic mountains could be seen from many far-flung locations and represented the most used directional markers for orientation within the North Island of New Zealand.

THE OBELISKS IN THE IMMEDIATE VICINITY OF THE HUBSTONE – the micro-site for teaching initiates the basic numbers of civilisation.

POSITION 1.

A line extends from the centre hubstone to an obelisk 201.6-feet removed at an azimuth angle of 151.2-degrees.

The dual stones that make up this component part of the site contain at least 3 distance codes out from the hubstone. The smaller boulder seen to the rear-right encodes 201.6-feet @ 151.2-degrees, while the larger shark’s-fin shaped obelisk, lying on an angle towards 330-degrees, encodes 196.875-feet and 198-feet respectively through its girth.

1. The 201.6 value is navigational coding that related to the equatorial circumference of the Earth, as literally encoded into the base perimeter dimensions of the Great Pyramid of Egypt. The length of 201.6-feet would be 1/30th of 1-minute of equatorial arc under that system.

The progression goes:

201.6, 403.2, 604.8, 806.4, 1008, 1209.6, 1411.2, 1612.8, 1814.4, 2016, … 3024, … 3628.8, … 6048, … 9072, … 362880, etc.

To understand how this progression works, one has to look at the literal dimensions of the Great Pyramid, with a side length of 756-feet. The sum of all 4 sides = 3024-feet and two circumnavigations around the pyramid = 6048-feet for 1-minute of equatorial arc. Therefore, 6048-feet X 60 = 1-degree of arc (362880-feet) and this value X 360 = 130636800-feet for the full equatorial circumference. This is 12 X 12 X 12 X 12 X 1.2 Greek miles of 5250-feet each (5000 Greek feet of 12.6-inches = 5250 English feet).

Also, the value 1008 shows up in the line-up of the above mathematical progression and 100.8-feet equates to 1-second of arc under this navigational system. Therefore, 100.8-feet X 60 = 6048-feet for 1-minute of equatorial arc.

2. The degree angle from the hubstone out to these boulder markers is 115.2-degrees and a progression based upon this value goes:

115.2, 230.4, 345.6, 460.8, 576, 691.2, 806.4, 921.6, 1036.8, 1152, … 1382.4, … 1728, … 2073.6, … 2880, … 3110.4, … 5184, … 6336, … 9331.2, … 10137.6, … 12441.6, … 24883.2.

The 11.52 code is one of the most important of antiquity and relates directly to the 12 X 12 X 12 X 12 X 1.2 –mile (24883.2-miles) equatorial circumference of the Earth. The sum of 11.52-miles would represent 1/2160th of the equatorial circumference or 10-minutes of equatorial arc.

It’s important to realise that there were two very closely related navigational systems used in remote antiquity that survived, in part, into modern times. One used a mile of 5250-feet, which, millenniums after its inception became known as the Greek-mile. This mile was divisible by the numbers 6 or 7 and worked very well for positional plotting at sea. The perimeter circuit dimensions of the Great Pyramid of Egypt are based upon this mile for reading the 24883.2-mile equatorial circumference of the world and 2 full circuits around the pyramid equate to 6048-feet for 1-minute of arc.
The increments for navigation were the mile (5250-feet), long stadia (630-feet), short stadia (525-feet), reed (10.5-feet), half reed (5.25-feet) and foot (12.6-inches). The Greek league equivalent would have been 3.125 Greek miles.

A second, slightly larger mile was 5280-feet and survived into modern times as the English mile (still used in the United States). It was divisible by the number 11 and was excellent for positional plotting at sea. It also was coded into the base dimensions of the Great Pyramid, either symbolically or literally by a mark incised into the paving slabs at the pyramid’s base. For this system, one side length of the Great Pyramid would have been read as 756.25-feet (instead of the literal 756-feet) or a mere elongation of the reading by 3-inches, making two circumnavigations of the pyramid to be 6050-feet for 1-minute of equatorial arc. This gave a reading of 24750-miles of 5280-feet each.

By this means a whole second navigational system came into play, using the league (16500-feet), mile (5280-feet), furlong or furrowlong (660-feet), chain, (66-feet), rod or perch (16.5-feet), fathom (5.5-feet originally) and link (7.92-inches).

In the above line-up of numbers 345.6-miles would be 1/72nd segment of the 24883.2-mile (in readings of either 5250-feet or 5280-feet) equatorial circumference or 5-degrees of arc. The outer rim perimeter of Stonehenge’s Sarsen Circle is 345.6-feet. There were once 30 Sarsen lintels in the circuit, measuring 11.52-feet each (138.24-inches).

The sum of 69.12-miles would be 1-degree of arc in a world 24883.2-miles around.

As mentioned, 1036.8 miles per hour would be the speed of rotation for a world 24883.2-miles around.

The sum of 1382.4-miles would represent 1/18th of the equatorial circumference or 20-degrees of arc.

A cubic foot of 12-inches would contain 1728 cubic inches.

Paving slabs at the base of the Great Pyramid measured 1.728 feet or 20.736-inches and this length constituted the longest of 3 Egyptian Royal cubits, the other two being 20.625-inches and 20.61818182-inches respectively.

The area of 28800 square feet was a pyramid acre.

The sum of 3110.4-miles was 1/8th of the equatorial circumference.

The angle 51.84-degrees is the slope angle of the Great Pyramid. Also, the length of the Great Pyramid @ 756-feet per side is 72 reeds of 10.5-feet each. Therefore, the base area the pyramid covers is 72 X 72 reeds or 5184 square reeds.

Likewise, in the 25920-year cycle of the Precession of the Equinoxes, 5184-years is 1/5th part. In navigation using the so-called English league of 16500-feet (3.125-miles), when this lineal distance (sea-leg) is converted to a circumference using PI 1728/550ths (3.141818182) the circuit is 51840-feet or 144-feet per degree of arc.

The weight of the Sumerian-Babylonian Royal Double Standard Talent was 933120-grains.

But beyond configuring the Earth in factorable number to represent 24883.2-Greek miles (130636800-feet) or 24750 English miles (130680000-feet), one could view it as 24883.2 miles of 5280-feet (131383296-feet) or 101.376-feet for 1-second of arc.  Such a system would be difficult to navigate and do positional plotting under, but it does describe the equatorial circumference to within 18.8-miles of accuracy (24902-miles actual).

The late era druids or their “Masters of the Craft” forebears amongst the cousin nations always used number strings of factorable numbers that could be increased or reduced with ease, to describe their navigational or cyclic-astronomy sciences.

It can be readily seen that being a “Druid” entailed far more than dancing around oak trees singing “Hey-derry-derry-down”.

THOSE OTHER TWO NUMBERS, 196.875 & 198.

In the length codes related to this two-boulder position, the nearer-in boulder is capable of encoding 196.875-feet and 198-feet respectively within its girth.

The sum of 196.875 grains weight of gold dust was used as the Beqa Standard by the Egyptians and was adopted by the Romans and Greeks for their gold standards. This standard is based upon lunar cycle durations.
A progression of 196.875 goes:

196.875, 393.75, 590.625, 787.5, 984.375, 1181.25, 1378.125, 1575, 1771.875, 1968.75, 2165.625, 2362.5, 2559.375, 2756.25, 2953.125, 3150, … 3543.75, … 4725, … 6300, … 7087.5, 12600, etc.

 
In this line-up of numbers 393.75 grains represented the Roman Double Beqa and 393750 grains was the weight of an Egyptian Talent of gold.

The sum of 29.53125-days (29 & 17/32nds) was 1 lunar month and 354.375-days was a lunar year.

The design length of the Khafre Pyramid of Egypt is 15/16ths that of the Great Pyramid or 708.75-feet.  The pyramid itself is made up of essentially two 3,4,5 triangles back-to-back. Therefore, half the base length is 354.375-feet (in days this equals 1 lunar year). This is the “3” aspect of the 3.4.5 triangle (based upon 3 X 118.125, which would be, in days, 4 lunar months of 29.53125-days each).

From the centre of the pyramid to the apex the intended vertical height was 472.5-feet or “4” X 118.125 … in days = 16 lunar months.

The apex to the base diagonal was intended to be 590.625-feet or “5” X 118.125 … in days = 20 lunar months.

The value 126 alludes to the Greek-Hebrew reed of 126-inches (10.5-feet) or 10 Greek feet, whereas 630-feet was a stadia or stadium of 30 reeds, or 600 Greek feet.
A progression of 198 goes:

198, 396, 594, 792, 990, 1188, 1386, 1584, 1782, 1980, … 6534, 7920, … 13068 and ultimately 130680000.

The diameter of the Earth is 7920-miles of 5280-feet or 1980-miles X 4.

The sum of 5940-feet was the ancient Scottish mile, which was 1 furlong (660-feet) longer than the English mile of 5280-feet.

The sum of 130680000-feet would be 24750-miles of 5280-feet each … the equatorial circumference of the world under the “11” system of navigation.

POSITION 2.

This position is made up of two recumbent boulders, the first of which seems to have been tumbled WSW. The ancient intended code to this position seems to have been 158.4-feet @ 161.804-degrees.

To the left is seen the boulder in question, which seems to have fallen towards the boulder to the right.

A progression based upon 158.4 goes:

158.4, 316.8, 475.2, 633.6, 792, 950.4, 1108.8, 1267.2, … 1584, … 1900.8, … 2376, … 2851.2, … 3960, … 7920, … 10137.6, etc

The sum of 158.4-miles of 5280’ each would be 1/50th of the 7920-mile diameter of the Earth.

If the Earth is stated as being 24883.2-miles of 5280-feet each, then the sum of 101.376-feet would be 1-second of equatorial arc.

Along with 158.4-feet, the girth of the boulder could have accommodated the coded values of 160-feet and 162-feet, both being much used dynamic numbers of antiquity.

The angle to the boulder would seem to comply very favourably with 161.8034 to encode the PHI ratio of 1 to 1.6180339. The importance of this ratio to ancient civilisations cannot be overstated and it was used in the coded attributes of the Great Pyramid. For example:

THE CODED PHI ANGLE & THE PHI BASED PYR. ACRE

If one uses simple trigonometry to work out the side length of the full pyramid, including the theoretical, non-existent capstone, the length to the centre apex would be ½ the base length (378-feet) ÷ 51.84 Cos. = 611.7894615 feet.

Alternatively, if one used a PHI method of 378 feet X PHI (1.6180339) = 611.6168142 feet.

It will be observed that the calculated length using the PHI method is only about 2 inches less than the length achieved by the 51.84 angle method and straight trigonometry. The ancient astronomer/ mathematicians were coding a PHI related angle for the Great Pyramid simultaneously to the standard angle of 51.84-degrees. The whole edifice was designed to clearly code close PHI relationships.

For example:

Let's consider the Great Pyramid on the basis of PHI and the ratio relationship (in pyramid acres) between the 4 faces, compared to the ground area that the Great Pyramid covers.

The surface area of each face of the theoretical full pyramid, complete with a (symbolic) pointed capstone, = 611.6168142 feet of diagonal face side length X 378 feet (½ the base length) = 231191.11558 square feet.

Because there are 4 faces, their combined square footage amounts to 924764.6231 square feet. This translates to 32.10988275 pyramid acres of 28800 square feet each.

The base area measured 756 feet X 756 feet or 571536 feet, which equated to 19.845 pyramid acres of 28800 square feet each.

A perfect PHI relationship exists between this (symbolic capstone included) total side acreage and that of the base: 32.10988275 ÷ 19.845 = 1.6180339 (PHI).

Likewise, the PHI reciprocal 6.1804 (inches) was anciently used to “square the circle” for fabricating round tubs of perfect cubic inch capacities for the ancient marketplaces.

THE OTHER BOULDER IN POSITION 2.

It looks probable that the second boulder needs to roll slightly to the ENE in order to assume its former standing position. The code for this position was, undoubtedly, 160-feet @ 162-degrees.

A mathematical progression for 16 goes:

16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, etc., and requires little explanation as to its usefulness in calculations.

Areas where 2, 4, 8, 16, etc., divisions were traditionally applied include the 360-degree compass, which was simultaneously divided into 1/4th, 1/8th and 1/16th, etc., segments for primary and secondary readings, Thus we have such divisions as 22.5-degrees or 11.25-degrees.

Another area for the use of these numbers has been in weights standards, thus 16 ounces in a pound, 112 pounds in a CWT (hundredweight) or 2240 pounds in a ton.
A progression based upon 162 goes:

162, 324, 486, 648, 810, 972, 1134, 1296, 1458, 1620, 1782, 1944, 2106, 2268, 2430, 2592, … 2916, … 3402, … 3564, … 4050, … 4536, … 5184, …  5670, … 5832, … 6804, etc.

These values were highly important to all manner of ancient calculations to do with the equatorial circumference of the Earth, the Precession of the Equinoxes and lunar cycles. For example:
When dividing the Earth’s circumference down in 1/4th, 1/8th, 1/16th, etc., segments 1/512th part would be 48.6-miles and 1/256th part would be 97.2-miles.

Herodotus, the Greek historian, was told by Egyptian priests that the side of the Great Pyramid was divided into 100-feet. The foot they were referring to was 11.34-inches, which was a rule for lunar calculations. Three side base lengths of the Great Pyramid @ 756-feet per side = 2268 or 2 X 1134-feet.

The sum of 25920-years (72 X 360) was the calculated duration of the Precession of the Equinoxes.

The Great Pyramid has no pointed top section (it’s a truncated pyramid), but a flat floor top at a vertical height of 453.6-feet.

The merits of 5184, 5832 & 6804 have already been touched upon.

POSITION 3.

This site carries tutorials for the distances 110, 112 & 113.4-feet respectively at an angle of 178.2-degrees.

The boulder at position 3, carrying 3 important length codes through its girth and the angle code of 178.2-degrees from the hubstone. It’s highly likely that the eastern side of the stone (foreground) was used to designate 180-degrees (due south) from the hubstone.

1. A progression based upon 110 goes:

110, 220,330, 440, 550, 660, 770, 880, 990, 1100, 1210, 1320, 1430, 1540, 1650, 1760, 1870, 1980, … 2640, … 2970, 5280, … 5940, … 7920,… 16500,… 24750.

In the above line-up, 110-feet would be 20 ancient fathoms of 5.5-feet each (such fathoms were standard in the merchant navy into the 20th century).

The sum of 660-feet is 1-furlong or 10 chains; 1320-feet is 1/4th of a mile; 1650-feet is 100 rods/perches; 1760-feet is 1/3rd of a mile; 1980-miles is 1/4th of the Earth’s diameter; 2640-feet is ½ a mile; 2970-feet is ½ an ancient Scottish mile; 5280-feet is the English mile; 5940-feet is the ancient Scottish mile; 7920-miles is the diameter of the Earth; 16500-feet is the ancient English league; 24750-miles was the value used for the equatorial circumference of the Earth when navigating by the English mile and league.

2. A second distance reading into the centre position of the stone is 112-feet and that numerical progression goes:

112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, 1232, 1344, … 1680, … 2016, … 2240, … 2268, … 2800, … 3024, … 6048,… etc.

This progression was traditionally used for weights standard, especially under English systems handed down or re-established from older standards of antiquity.

The value of 112-pounds was the CWT or 1/20th of the ton; 2240-pounds was the ton; 100.8-feet is 1-second of equatorial arc under the literal geodetic system encoded into the Great Pyramid’s base perimeter length; 2016-feet is 1/3rd of 1-minute of arc; 3024-feet is 1 complete circuit around the Great Pyramid’s base & ½ a minute of arc; 6048-feet is 1-minute of arc.

3. The boulder can also accommodate a length of 113.4-feet and this progression goes:
113.4, 226.8, 340.2, 453.6, 567, 680.4, 793.8, 907.2, … 1134, … 1360.8, … 1701, … 2268, … 2835, … 3402, … 3628.8, … 5443.2, … 5670, … 6804, … etc.

A measuring rule of 11.34-inches would provide a length 1/800th of the 756-feet length of the Great Pyramid (9072-inches or 756-feet) and would allow for readings based upon lunar cycle durations; 340.2-feet is the diameter of Avebury Henge’s southern circle in England, as well as the standing stone circle of Brodgar Ring in the Orkney Islands of Scotland. The sum of 3402-days is ½ of the lunar nutation cycle of 6804-days where the moon goes from lunar Major standstill, to lunar Minor standstill and back to lunar Major standstill again; the Khafre Pyramid of Egypt is 15/16ths the length of the Great Pyramid or 2835-feet for all 4 sides (34020-inches); 3 sides of the Great Pyramid @ 756-feet per side = 2268-feet (1134 X 2); 362880-feet = 1-degree of equatorial arc under the Great Pyramid’s dimension-encoded navigational system. 567-days is 1/12th of the 6804-day lunar nutation cycle.

4. The degree angle to this position was coded to represent 178.2-degrees and this progression goes:

178.2, 356.4, 534.6, 712.8, 891, 1069.2, … 1782, … etc.

The “Y”-holes circle at Stonehenge is 178.2-feet in diameter or 72 increments of 2.475-feet (29.7-inches) … remember, under one system of navigation the world was considered to be 24750-miles around. Remember also that 2970-feet was ½ an ancient Scottish mile.

The navigational system based upon the mile of 5280-feet saw the Earth as being 24750-miles in circumference and divisible by either the English mile or Scottish mile of 5940' (1-furlong greater in length or 660'). In assessing lengths marked into ancient sites (like around Newgrange, Ireland for example) it becomes apparent that there were measurement increments in use based upon 2.475-inches and 24.75-feet (297-inches). The sum of 247.5-inches = 12 Egyptian Royal cubits @ 20.625-inches each and the sum of 247.50-feet  = 144 X 20.625-inches (or 144 Egyptian Royal cubits). This increment (20.625-inches) was the 2nd of 3 Royal cubits identified by William Flinders Petrie* during his years of exhaustive measurements of the Giza Plateau edifices.

Larger expressions of these values are fluidly divisible by either 2.4750 or 2.970, etc., also 5.28 or 5.94 (in deference to the English and Scottish miles).

The progression is just another way of keeping the 24750-mile equatorial circumference, navigational system at the forefront of memory. The 130680000' equatorial circumference was either 5280-feet X 24750 or 5940-feet X 22000 ... or 76032000 Egyptian Royal Cubits of 20.625-inches.

There were many different measurement rules in ancient usage, depending upon the kind of calculation one was doing. The 3 Egyptian Royal cubits, in overall length, were fashioned for encoding the equatorial circumference of the Earth under 3 systems or readings.

*Note: The existence of the 20.625-inch Royal Cubit is confirmed by the careful measurements of Sir William Flinders Petrie in the King's Chamber of the Great Pyramid. Petrie concluded that the room was built according to a cubit of 20.620-inches, plus or minus .005 of an inch. The upper scale of his estimate is, therefore, 20.625-inches (see The Pyramids and Temples of Gizeh, by Sir William Flinders Petrie).

POSITION 4.

This outer-marker boulder codes 105-feet @ 187.5-degrees.

This large boulder sits 105-feet from the hubstone @ 187.5-degrees.

1. A progression based upon 105 goes:

105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890, … 2520, … 2625, … 2835, … 3780, … 4725, … 5250, … 6300, … 7560, …etc.

The sum of 105-feet is 10 Hebrew/ Greek reeds of 126-inches each. This distance is also 100 Greek feet of 12.6-inches or 50 Assyrian cubits of 25.2-inches each.

In so-called Greek metrology 315-feet was ½ of a long stadia (630-feet). In a symbolic sense it was also an expression of PI @ 3.15. On the inner rim of Stonehenge’s Sarsen Circle, the cross diameter in one direction was 100-feet, giving a reading of 314.16-feet of circumference or 315-feet. The 90-degrees cross-measure was 100.8-feet to code 1-second of equatorial arc.
In the above line-up, 525-feet was a Greek short stadia or 1/10th of a Greek mile of 5250-feet; 1575-feet was 1/4th of 6300-feet, 10-stadia and the diameter of the ancient geometric embankment “Great Circle” of Newark, Ohio, USA.

Other values are: 1890 (1/4th of the Great Pyramid’s length is 189-feet); 2625-feet is ½ of a Greek mile; 2835-feet is the total in side lengths for a circumnavigation around the Khafre Pyramid @ 708.75-feet per side; 756-feet is, of course, the side length of the Great Pyramid.

2. A progression based upon the angle 187.5 goes:
187.5, 375, 562.5, 750, 937.5, 1125, 1312.5, 1500, 1687.5, 1875, 2062.5, 2250, 2437.5, 2625, 2812.5, 3000, … 5250, … 6187.5, … 11812.5, … 16500, … 19687.5, … 20625, … 24750, …etc.

 This progression alternates between lunar duration values and navigational values under two systems, as well as subdivisions of the 360-degree compass into 8-based segmentation values, etc.
The 180-degrees opposed angle value, back to the hubstone (7.5-degrees) provides 1/48th divisions to the 360-degree compass, which includes primary and secondary compass angles, as well as solstice or equinox rise & set positions for latitudes within New Zealand.

That progression goes:

0, 7.5, 15, 22.5, 30, 37.5, 45, 52.5, 60, 67.5, 75, 82.5, 90, 97.5, 105, 112.5, 120, 127.5, 135, 142.5, 150, 157.5, 165, 172.5, 180, 187.5, 195, 202.5, 210, 217.5, 225, 232.5, 240, 247.5, 255, 262.5, 270, 277.5, 285, 292.5, 300, 307,5, 315, 322.5, 330, 337.5, 345, 352.5, 360.

POSITION 5.

This outer-marker sits 105.6-feet from the hubstone at a return angle back to the hubstone of 22.5-degrees.

Whereas the previous position (4) gave a tutorial based upon 105-feet and its relationship to navigating by the 5250-feet mile, this position (5) introduces 105.6-feet and navigation by the mile of 5280-feet. 

Note: 10500-feet is 2 Greek miles of 5250-feet each, whereas 10560-feet is 2 English miles of 5280-feet each. On megalithic or mound complex sites across the world it’s a general rule of thumb that whenever the mile of 5250-feet is encoded, very close by the mile of 5280-feet will also be encoded simultaneously.

POSITION 6.

The very learned, ancient Masters of the Craft, teaching initiate students on this “micro” site, were able to encode at least 7 highly important distance numbers into this position, as well as 3 of the most significant values that related to the equatorial circumference of the Earth under 3 navigational systems.

The large obelisk and its smaller companion appear to have been tumbled towards the west from their former standing positions. Given their individual girths, they undoubtedly contained a whole raft of numerically close-proximity distance and angle codes.

The smaller of the two complies well to coding a distance of 68.75-feet from the hubstone, with a second reading of 69.12-feet. The angle dissecting the boulder would be 200-degrees, with a return angle of 20-degrees. The return angle could also be read as 20.16-degrees and a tutorial about the merits of 2016 (1/3rd of 1-minute of arc) could also be discussed.

The value 69.12-miles (of 5250-feet) was 1-degree of equatorial arc under the Great Pyramid’s literal geodetic system of navigation, with 1-minute of arc set at 6048-feet. This was the “6&7” system where the distance increments were divisible by either 6 or 7. For example, the 5250-feet mile = 750 X 7 or 875 X 6.

The value 68.75-miles (of 5280-feet) was 1-degree of equatorial arc under the slightly elongated system that set 1-minute of arc at 6050-feet. This was the “11” system, where all distance increments were divisible by “11”. For example, the 5280-feet mile = 480 X 11.

Alternatively, across the wide girth of the big obelisk a much larger selection of distance codes, extractible by a calibrated measuring rope or string, could be identified. These include:
64.8- feet (Precession of the Equinoxes). In the duration of Precession (25920-years), 6480-years would be 1/4th of the cycle.

65.34-feet (The equatorial circumference under the 5280-feet mile system). Under that system, with 6050-feet being 1-minute of arc, the total number of feet circumnavigating the world equated to 130680000-feet or 65340000 X 2.

66-feet (1-chain or 1/80th of the 5280-feet mile … or 1/90th of the 5940-feet Scottish mile).

67.2-feet (navigational coding made up of 1/90th divisions of 1-minute of equatorial arc). 67.2 X 90 = 6048.

68.04-feet (Lunar nutation cycle of 6804-days duration).

Over the girth of the obelisk, 3 close proximity Egyptian Royal Cubits values could be accommodated by way of the degree angle… ranging in a marginal sweep from 206.18 to 206.25 to 207.36 –degrees respectively.

The first of the Egyptian Royal Cubits, here under consideration (and found in the Turin Museum) was 20.61818182-inches. Its exact length is determined by taking the base length of the Great Pyramid and dividing by 440. Therefore, 756-feet (9072-inches) ÷ 440 = 20.61818182-inches.

The Royal Cubit, with its irregular segment divisions, was not used for construction, but only as a mnemonic device for remembering the equatorial size of the Earth. The key was to read the full-length inch value of the cubit as miles of 5280-feet, then multiply the cubit’s length by 1200.

Therefore: 20.61818182-miles X 1200 = 24741.818181818181-miles, which converts to 130636800-feet or 12 X 12 X 12 X 12 X 1.2 Greek miles of 5250-feet each (24883.2 Greek miles) or 6048-feet per minute of arc.

The second Royal Cubit, found by Petrie was 20.625-inches. Its exact length is determined by taking the slightly elongated base length of the Great Pyramid (756.25-feet) and dividing by 440. The sum of 756.25-feet (9075-inches) ÷ 440 = 20.625-inches.

Therefore: 20.625-miles X 1200 = 24750-miles of 5280-feet each. This converts to 130680000-feet or 6050-feet per minute of arc.

The third Royal Cubit was found by measuring the Great Pyramid’s paving slabs as 1.728-feet or 20.736-inches.

Therefore 20.736-miles of 5280-feet each X 1200 = 24883.2-miles or 131383296-feet or 6082.56-feet per minute of arc. The true equatorial circumference (24902-miles) is 131482560-feet or 6087.15-feet per minute of arc, but this value is not fluidly divisible or factorable down into smaller whole numbers and easily calculated fractions for navigational determinations.

POSITION 7.

This position is made up of 1 sizable boulder and a hefty obelisk. Over its expanse several coded readings are possible onto the two component stones, including 105.6-feet @ 165-degrees onto the large obelisk (background); also a distance of 101.25-feet or 105-feet, at a return angle of 343.75-degrees more centrally, The foreground boulder complies with a coded distance of 105-feet on an angle of 157.5-degrees.

The two component parts, side-by-side, of position 7.

1. The first reading of 105.6-feet @ 165-degrees relates to navigation under the mile of 5280-feet and league of 16500-feet (3.125-miles).

A reading of 101.25-feet encodes the following progression:

101.25, 202.5, 303.75, 405, 506.25, 607.5, 708.75, 810, 911.25, 1012.5, 1113.75, 1215, … 1620, … 2430, … 2531.25, … 2835, … 3543.75, … etc.

In the lunar-year of 354.375-days, there would be 35 X 10.125-days (243-hours). Also, in the 6804-day duration of the lunar nutation cycle there would be 19.2 lunar years or 672 intervals of 10.125-days.

It must be remembered that without the luxury of perishable books the duration and breakdown of lunar cycles had to be memorised in factorable number strings in order to stay daily abreast of progress within the lunisolar calendar.

In the above string the value 708.75 (in feet) is the design length of the Khafre Pyramid of Egypt and 2835-feet is the distance around the pyramid for all 4 sides.

2. A reading of 105-feet would, of course, be 10 reeds of 10.5-feet each (126-inches or 10 Greek feet).

3. A return angle of 343.75-degrees is navigational coding under the 5280-mile navigational system and a progression derived from this value goes:

343.75, 687.5, 1031.25, 1375, 1718.75, 2062.5, 2406.25, 2750, … 5156.25, … 5500, … 6187.5, … 6875, … 7562.5, … 8250, … 11000, … 16500, … 24750.

In the above line-up, 68.75-miles of 5280-feet would be 1-degree of equatorial arc; 20.625-inches would be a Royal Egyptian cubit used for mnemonic reference to the 24750-mile equatorial circumference; 756.25-feet would be the symbolic length of the Great Pyramid in order to create the “11” navigational system, with a mile of 5280-feet and 6050-feet being 1-minute of equatorial arc; 16500-feet is, of course, 1-English league and 24750-miles is the equatorial circumference by this method of grid-referencing the world for navigation.

4. Moving our attention to the smaller boulder, the length is coded to be 105-feet (100 Greek feet) and the angle is 157.5-degrees.
The sum of 157.5-feet would be 1/4th of a Greek stadia (stadium) of 630-feet.

POSITION 8.

The apparent codes for this small boulder are 141.75-feet from the hubstone @ 155.52-degrees.

The reasonably small boulder outer-marker.

The distance code of 141.75-feet initiates the following progression:

141.75, 283.5, 425.25, 567, 708.75, 850.5, 992.25, 1134, 1275.75, 1417.5, … 1701, … 2268, … 2551.5, … 2835, … 3402, … 3543.75, … 4536, … 6804, … 9072, … etc.

This progression is both lunar and navigational coding.

1. A period of 141.75-days (3402-hours) would be 1/48th of the 6804-day lunar nutation cycle. In this line-up are the values for side and full circumnavigation lengths of the Khafre Pyramid (Egypt’s pyramid of the moon) …708.75-feet per side and 2835-feet around.

2. The ¼, ½, ¾, and full periods of the 6804-day lunar cycle are present in the progression.

3. Under the lunisolar Sabbatical Calendar system, both the sun and the moon were tracked on a daily basis for 7-solar years and 7.2 lunar years concurrently. Once the solar count was commenced on the summer solstice the druids would wait 6-days (5.25-actual) then begin the lunar count, in conjunction with the mistletoe culling ceremony (cutting sprigs of parasitic mistletoe vines away from an oak tree  it had entwined). For this a golden sickle was used (gold representing the sun & the crescent shape representing the waning moon). Below the tree other druids danced around the tree singing “Hey-Derry-Derry-Down”.

Under the Sabbatical Calendar count thus initiated, the solar count of days ran for 2556.75-days (7-solar years) whereas the lunar count ran for 2551.5-days (7.2 lunar years), with both periods ending on the same day.

4. Again we have the lunar year value mentioned, as well as 453.6 (the vertical height of the Great Pyramid to its top floor altar). It was designed as a truncated pyramid without a capstone. There is also 9072, the length of the Great Pyramid in inches or (in feet) 1.5 –minutes of equatorial arc @ 6048-feet per minute. Note: 9072 ÷ 2 = 4536.

5. The degree angle is 155.52 and this value relates to the equatorial circumference of the Earth configured to be 24883.2-miles around.

A progression based upon 155.52 goes:

155.52, 311.04, 466.56, 622.08, 777.6, 933.12, 1088.64, 1244.16, … 1555.2, … 1866.24, … 24883.2.

The sum of 1555.2-miles would be 1/16th of the equatorial circumference or 22.5-degrees of arc; 3110.4-miles would be 45-degrees; 12441.6-miles would be half the circumference.

6. These overall values in the progressions of the ancient mathematicians were encoded into all weights, measures & volumes standards of the cousin civilisations and the value 933120-grains became the Babylonian-Sumerian Talent weight. 

POSITION 9.

The distance to position 9 is 151.2 feet and the angle code is 148.5-degrees.

A view from the hubstone to position 9. To the east of the obelisk is a boulder that was coded to sit 160-feet out @ 144-degrees. The line would skim its western side, so it might have been shunted or rolled slightly east sometime over the centuries.

A progression based upon 151.2 goes:

151.2, 302.4, 453.6, 604,8, 756, 907.2, 1058.4, 1209.6, 1360.8, 1512, … 2268, … 3024, … 3628.8, … 3780, … 6048, … 6804 …, 362880, … 130636800.

1. It can be seen that this string relates to navigation and the equatorial circumference of the Earth as encoded into the Great Pyramid’s base dimensions. Also, the 151.2 increment, when read as days, can be applied to the 6804-day lunar cycle as 1/45th part. The sum of 151.2-days would be 3628.8-hours & 362880-feet would be 1-degree of equatorial arc.

2. The angle of 148.5-degrees creates the following progression:

145.8, 291.6, 437.4, 583.2, 729, 874.8, 1020.6, 1166.4, 1312.2, 1458, … 131220000.

3. The Roman’s, like the Greeks and others, adopted their measurement standards from much older civilisations and thus we find so-called Roman and Greek measurements encoded into the landscapes of Avebury Henge, Brodgar Ring and Newgrange, dating from before 3000 BC. The sum of 14.58-inches was an ancient Greek Pygon measurement.

The Roman foot was found to be 11.664 inches by John Greaves, professor of geometry, who in 1639 went to Rome specifically to ascertain the length of an ancient Roman foot. Greaves located a monument of Roman architect, Stalius Asper and measured bas relief instruments used by him in the first century A. D. Greaves concluded, after careful investigation, that the Roman foot, 'contained 1944 such parts as the English foot contains 2000'. This means a Roman foot of 11.664 inches.

The Roman pace was 58.32-inches or 5 Roman feet. Their mile was 4860 English feet of 12-inches, which equated to 5000 Roman feet of 11.664-inches.

The druidic bronze plaque called The Calendar of Coligny (a lunisolar parapegma board for tracking the sun’s and moon’s daily progress) measures 4.86-feet in length (58.32-inches) or 5 Roman feet of 11.664-inches. Its height is 2.953125-feet or 35.4375-inches (the lunar month was 29.53125 days, which equates to 29 & 17/32nds days and the 35.4375-inch value for the height of The Calendar of Coligny will be recognisable as coding the lunar year duration.

The Bush Barrow Lozenge artefact of England, dating to 2500-3000 BC is 7.29-inches in one cross measure, or 1/8th of 58.32-inches.The sum of 7.29-inches is ½ a Greek Pygon.

Under a tradition that survived into mediaeval times in Europe, 75 Roman miles represented 1-degree of arc for the world or 4860 (English) feet … X 75 = 364500-feet … X 360 = 131220000-feet or 27000 Roman miles for the full equatorial circumference.

POSITION 10.

Position 10 is composed of 3 large obelisks and smaller boulders.

The first recumbent obelisk is coded to give a reading of either 69.12-feet or 68.75-feet distance from the centre hubstone at a degree angle of 275-degrees. The distance readings relate to 1-degree of arc for the world under the two main, slightly different equatorial circumference readings.

The second obelisk in the cluster would provide tutorials for 60.50. 60.48. 60, 59.0625, & 58.32 feet respectively, on an angle of 270-degrees (due west). These are predominantly navigational codes, although 59.0625 (days) would be 2 lunar months.

The third obelisk would provide tutorials for 59.0625, 58.32, 57.6, & 56.7 feet respectively, on an angle of 262.5-degrees. These are predominantly lunar codes.

POSITION 11.

This position provides a coded angle back to the hubstone. The distance is 48.6-feet and the angle is 55-degrees. The distance could also be read as 48 or 47.5-feet, respectively, over the girth of the obelisk.

A mathematical progression based upon 48.6 goes:

48.6, 97.2, 145.8, 194.4, 243, 291.6, 340.2, 388.8, 437.4, 486, 534.6, 583.2, … 680.4, 729, 777.6, etc.

This number string provides codes for the equatorial size if the Earth (777.6-miles X 32); the lunar nutation cycle (6804-days); etc.

The 55-degree value relates, of course, to the “11” family of measurement numbers, ranging from the ancient fathom (5.5-feet) to the league (16500-feet). Silbury Hill in Southern England was built to be slightly elliptical at its base and measures 550-feet one way and 525-feet 90-degrees opposed. Whereas the 550-feet cross measure relates to the 5280-feet mile and its divisions, the 525-feet cross measure relates to the 5250-feet mile and its divisions. 

POSITION 12.

Position 12 sits 52.8-feet out from the hubstone on an angle of 187.5-degrees. Whereas the distance is in homage to the 5280-feet mile, the 187.5-degree angle provides a mathematical string that can relate to the 5250-feet mile, degree angle segmentation of the 360-degree compass, the equatorial circumference of the Earth, the Egyptian Royal cubit of 20.625-inches, etc., … a very versatile progression.

POSITION 13.

Position 13 sits 68.04-feet from the centre hubstone at an angle of 168.75-degrees. Other coded distances that could be incorporated into the girth of this boulder are 66 (1 chain), 67.2, 68.4, 69.12, 70.4 & 72-feet respectively. The boulder’s girth could also accommodate the important ancient value 166.6666-degrees.

Amongst other things, there would be 21 periods of 16.875-days (405-hours) in a lunar year. The distance figure, of course, relates to the lunar cycle duration of 6804-days.
In a 3-4-5 triangle, one side will be 1.666666 less in length than the hypotenuse, whereas the other side will be 1.25 less.

Part 7

POSITION 14.

This position sits 112-feet from the hubstone on an angle of 137.5-degrees. For tutorial purposes by a learned master, the length codes could also be read as 112.5 & 113.4-feet respectively, possibly even 115.2-feet.

POSITION 15.

This position sits 22-feet from the centre hubstone at an angle of 283.5-degrees. Tutorials for the lengths 21, 21.6, 22.5, 22.68, 23.04, 24, 24.3, 24.75 and 24.8832 feet respectively were also within the scope of this position to provide.

The second obelisk of this positon sits 25.92-feet (Precession of the Equinoxes coding) from the hubstone on an angle of 268.8-degrees (navigation, lunar). The angle of 270-degrees is also achievable as is the length 26.25-feet.

The third obelisk in this cluster sits 24-feet from the hubstone on an angle of 250-degrees. A coded angle of 252-degrees is also achievable, as are lengths of 24.3, 24.750 & 24.883.2-degrees respectively.

POSITION 16.

This position is 40-feet from the hubstone with a coded return angle of 343.75-degrees (equatorial size of the Earth coding). The sum of 34.375-miles would be ½ of a degree of arc under the 5280-miles system of equatorial circumference coding, with the Earth considered to be 24750-miles around.

POSITION 17.

The distance to this boulder is 47.25-feet, with a return angle back to the hubstone of 314.16-degrees. The position would have been very effective for teaching initiates the several forms of the PI ratio in use in ancient times for various kinds if calculations. There was use of 1728/550ths (3.141818182); 22/7th (3.142857143); 3.15 and 3.125, depending upon the type of calculation being computed.

The boulder cairn, situated between the two obelisks of positions 16 & 17, sits 40.5-feet (lunar coding & Precession of the Equinoxes, etc.) from the hubstone at a coded angle of 145.8-degrees (navigation by, what became a Roman method).

POSITION 18.

This double set of stones sits 82.5-feet (navigation using the 5280-feet mile) out from the hubstone at a coded angle of 126-degrees (the Greek foot, Assyrian cubit, Hebrew Reed, Greek mile, etc.).

The second of the two boulders could carry the distance code of 86.4-feet.

Whether coincidental or not, the sun has a diameter of 864,000-miles.

POSITION 19.

Again, this single obelisk sits close to the hubstone, allowing tutors to identify and review the merits of degree angles ranging from 88, 89.1, 90, 93.312, 95.04, 97.2, 100, 100.8, 101.25 & 105-degrees respectively. The distance reading is given as 18-feet, but 18.9-feet was achievable over the expanse same obelisk.

POSITION 20.

This boulder sits 66-feet (1-chain) away from the hubstone at an angle of 105-degrees (The Hebrew reed was 10.5-feet … navigation under the 5250-feet mile system) .

POSITION 21.

This boulder sits a coded distance of 70.4-feet from the hubstone on an angle of 90.72-degrees. That angle can also be 90.75-degrees.

There would be 75 increments of 70.4-feet in a mile of 5280-feet.

Under two separate navigational systems, the Great Pyramids base length was read as either 9072-inches (756-feet) or 9075-inches (756.25-feet).

A former built-up mound can be seen across the highway in the background. Likewise the hubstone and its immediate array of circumnavigating outer markers sit on an elevated mound in their own right.

POSITION 22.

This upright obelisk would be very useful for tutorials related to degree angles ranging from 350 to 360-degrees west-side to east-side through its girth. It sits at a distance from the hubstone of 28 to 30- feet. In the above picture it's coding 29.53125-feet of distance at an angle of 354.375-degrees, which would appear to be its original, assignment to the peak position . Of course, 29.53125-days is the duration of a lunar year to an accuracy of under 1-minute of time, whereas 354.375-days is 12 lunar months or 1 lunar year.

POSITION 23.

This obelisk is 36-feet from the hubstone at 22.5-degrees. The tutorials here would have accentuated the 360-degree system and its primary or secondary divisions of ½ , ¼, 1/8th , 1/16th , 1/32nd , 1/64th  segmentations, etc.

POSITION 24.

The obelisk sits 45-feet from the hubstone at an angle of 42-degrees.

A progression based upon 45 goes:

45, 90, 135, 180, 225, 270, 315, 360 and, of course, relates to the 360-degree compass.

A progression based upon 42 goes:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420, … 630, 672, … 756, 1008, 1050, … 1134, … 5250, etc., and was used for navigation, as well as lunar cycle determinations.

POSITION 25.

The distance to this obelisk from the hubstone is 59.4-feet and the angle is 52.8-degrees. At this position tutorials could be given related to the two ancient miles that were based upon an “11” progression of numbers. These were, of course, the increments that became the English mile of 5280 feet and the Scottish mile of 5940-feet or 1-furlong (660-feet) larger than the English mile.

SECTION 2.

INTERMEDIATE SITES – slightly more distant and requiring more skill for the initiate to decipher the codes of position.

INTERMEDIATE POSITION 1.

In the bush covered section immediately north of the hubstone are many surviving outer marker obelisk and boulder positions obscured from view under the canopy of trees. To a lesser extent this holds true for the bush-clad raised-mound section to the immediate NNW of the hubstone.

The distance to this outer-marker is 384-feet at a return angle back to the hubstone of 168-feet. The tree-clad regions have impressive obelisks enshrouded under their canopies and careful GPS readings will be needed to log those positions.

The large boulder in the centre background sits 384-feet from the hubstone at a return angle of 168-degrees. Another languishes half-exposed on the fringes of the tree-line. The foreground shark’s-fin shaped obelisk sits 396-feet from the hubstone on an angle of 166.666-degrees return to the hubstone.

The 1.66666 (continuous) value was very important to ancient calculations and, as stated, in any 3-4-5 triangle one side will be 1.66666 less in length to the hypotenuse, whereas the other side will be 1.25 less in length.

INTERMEDIATE POSITION 2.

INTERMEDIATE POSITION 3.

Again, intermediate position 3 uses the return angle of 166.666 as the angle code. It sits 432-feet out from the hubstone.

A mathematical progression based upon 432 goes:

432, 864, 1296, 1728, 2160, 2592, 3024, 3456, 3888, 4320, 4752, 5184, ... 6048, ... 6912, etc., and identifies values that relate to navigation and the equatorial size of the Earth, the Precession of the Equinoxes, etc. The Great Pyramid is 432 Hebrew/Celtic cubits of 21-inches; the Sarsen Circle outer rim at Stonehenge had a coded circumference of 345.6-feet and 345.6-miles would be 1/72nd of the 24883.2-mile equatorial circumference.

INTERMEDIATE POSITION 4.

This is a highly important position, as it designates an angle and alignment for a significant geometric design, once etched or otherwise marked into the terrain. The distance to the pyramidal marker stone is 468.75-feet on an angle of 348.16-degrees or 168.16-degrees return to the hubstone. The immensely important merits of this line will be explained as we proceed.

The very pyramidal outer-marker sitting 468.75-feet from the hubstone on a special degree angle (348.16) that related to one diagonal side angle of the Great Pyramid, offset by 50-degrees anti-clockwise.

INTERMEDIATE POSITION 5.

At intermediate position 5 the same 348.16-degree angle is maintained from the hubstone, but this time the distance is coded to be 537.6-feet.

Under the 24883.2-miles of 5250-feet each the equatorial circumference was 130636800-feet of which 53760 would be 1/2430th part.

The smaller boulder in the set maintains the angle of 348.16 and a length of 537.6-feet. The larger boulder inset slightly nearer to the bush-line sits at a return angle to the hubstone of 168.75-degrees and 540-feet from the hubstone.

The 168.75 code is primarily lunar and the sum of 16.875-days (405-hours) would equate to 1/21st of a lunar year of 354.375-days.

A mathematical progression based upon 540 goes:

540, 1080, 1620, 2160, 2700, 3240, 3780, 4320, 4860, 5400, 5940, 6480, ... 7560, ... 25920, etc.

Values within this string relate to navigation, rounded PHI, the Precession of the Equinoxes, compass bearings, the Scottish mile, etc.

OBSCURED POSITIONS UNDER THE TREES.

Under the canopy of trees are at least a dozen or more obelisk outer-markers that have yet to be assessed for codes of distance and angle from the hubstone. This dual set of large boulders are almost completely covered in foliage. We will return at some stage with sophisticated GPS equipment to log these positions down to almost pin-point accuracy.

SECTION 3.

DISTANT SITES – for orienteering exercises such that initiates could learn overland navigation and positional plotting.

The Google Earth image of site 2 which, thankfully has survived on the eastern side of the highway. The western side is now the large, sprawling Wharewaka subdivision and the stone positions on that side were destroyed by bulldozers or plundered for landscaping features (barrier fences & ornamental objects in park-reserves). The coordinates of site 2 are seen at the bottom of the Google Earth picture.

By the time this year 2008 image was taken, substantial excavations, road-building and landscaping had taken place to create the new Wharewaka subdivision and important obelisk positions had been cleared to the western side of the road.

A topographical photo taken in September 1999 shows a giant obelisk situated across the highway. Its immense size indicates that it was of great importance.

SITE 2 POSITION 1.

This recumbent obelisk sits 1152-feet from the hubstone on a coded angle of 4.536-degrees.

The obelisk at the bottom left sits 1152-feet from the hubstone at an angle of 4.536-degrees.

The shark’s-fin shaped obelisk now lies with its top pointing eastwards. One of two chock boulders that formerly helped to hold it upright now lies to the side.

SITE 2 –POSITION 2.

This outer-marker boulder sits 1181.25-feet from the hubstone at an angle of 5.5-degrees.

The 1181.25 value is lunar coding and 118,125-days would equate to 4 lunar months of 29.53125-days (29 & 17/32nds) ... with an accuracy of under 1-minute in time. Incidently, the Khafre Pyramid of Egypt is 15/16ths the length of the Great Pyramid or 708.75-feet long. This length is 6 X 118.125-feet.

Likewise, the Khafre Pyramid was built as two back-to-back 3-4-5 triangles. Half the base length is 3 X 118.125-feet; the designed vertical height is 4 X 118.125-feet and the sloping face is 590.625-feet (5 X 118.125).

The 5.5-degree angle is in homage to the "11" family of distance increments and 5.5-feet was the ancient fathom length.

The outer-marker at site 2, position 2.

SITE 2 – POSITION 3.

This outer-marker appears to have been intended to carry the lunar code of 1215-feet on an angle of 7.56-degrees.

The 1215 value is primarily part of a lunar progression which goes:

1215, 2430, 3645, 4860, 6075, 7290, 8505, 9720, ... 17010, ... 25515,... 68040, etc.

In the 6804-day lunar nutation cycle, there would be 121.5-days X 56. This cycle could have been conveniently counted on the Aubrey Circle at Stonehenge with its 56 post positions.

The coded 7.56-degree angle was in homage to the 756-feet length of the Great Pyramid and the navigational values it engendered..

The foreground boulder is position 3 of site 2. Behind it are two boulders that have an uncanny resemblance to Mount Tongariro and Mount Ngauruhoe standing almost side by side, whereas Mount Ruapehu stands further to the south. From the very symmetrical, raised mound position in the deciduous trees to the rear (see arrow) the 3 volcanoes across Lake Taupo can be seen.

Another arrow to the right of the picture indicates the position of another obelisk hidden under the trees.

The volcanic cones of New Zealand’s Central Volcanic Plateau in the North Island.

SITE 2 – POSITION 4.

This outer-marker sits 1244.16-feet from the hubstone at an angle of 8-degrees.

The 1244.16-feet value is in homage to the equatorial size of the Earth and 12441.6-miles would be 1/2 of the 24883.2-mile circumference.

SITE 2 – POSITION 5.

This outer-marker sits 1250-feet from the hubstone on a coded angle of 7.68-degrees.

A progression based upon 1250 goes:

1250, 2500, 3750, 5000, 6250, 7500, 8750, 10000, etc.,

The 7.68-degree angle sets up the following progression:

7.68, 15.36, 23.04, ... 46.08, ... 69.12, ... 115.2, etc.

This is essentially a progression that relates to navigation and the 24883.2-mile equatorial circumference of the Earth, of which 69.12-miles would be 1-degree of arc and 7.68-miles would equate to 1/9th of 1-degree of arc.

SITE 2 – POSITION 6.

The ancient intended code for this position appears to have been 1275.75-feet out from the hubstone on an angle of 8-degrees.

Under the lunisolar Sabbatical Calendar system the count related to the moon ran for 2551.5-days or 7.2 lunar years. Simultaneously to that the solar count was 2556.75-days or 7-solar years. The distance of 1275.75 is in homage to half the lunar count or 1275.75-days. The distance would also have been read as 1278.375-feet, which in days would be ½ of 7-solar years.

SITE 2 – POSITION 7.

This outer-marker sits 1280-feet distant from the hubstone on an angle of 5.76-degrees.

A progression based upon 1280 goes:

1280, 2560, 3840, 5120, 6400, 7680, 8960, ... 11520 and is primarily navigational coding. It relates to breaking the equatorial circumference into 1/2, 1/4th, 1/8th, 1/16th, 1/32nd, 1/64th, 1/128th, etc., segments.

The 576 number was one of the most important in antiquity. A progression based upon 576 goes:

576, 1152, 1728, 2304, 2880, 3456, 4302, 4608, 5184, 5760, 6336, 6912, ... 10368, ... 15552, etc.

Again, it relates to the equatorial circumference of the Earth and break-downs of the same. With the Earth's circumference set at 24883.2-miles, its spin rate is 1036.8 MPH.

The tumbled, partially buried position 1280-feet from the hubstone at 5.76-degrees.

SITE 2 – POSITION 8.

This position is a little more involved as the tutorial relates to measurements by the Egyptian Royal cubits of 20.625-inches & 20.61818182-inches, respectively. The position represents both @ 750 cubits each. The 20.625-inch cubit produces 1289.0625-feet, whereas the marginally shorter cubit produces 1288.63-feet.

The degree angle coding is 5.184-degrees.

Of course, the Great Pyramid has a slope angle of 51.84-degrees or 5184-years would equate to 1/5th of the 25920-year duration of the Precession of the Equinoxes, etc.

This site in the immediate foreground offered tutorials according to measurements in Egyptian Royal cubits. Other site readings in English feet of 12-inches can be similarly read in various cubits of the ancient cousin civilisations. There was an integrated measurement system shared by all the cousin civilisations of antiquity and cubits or feet of one nation were in a direct ratio to the measurement standards of other nations. This included all weights, measures and volumes standards.

SITE 2 – POSITION 9.

This outer-marker sits 1296-feet from the hubstone on an angle of 4.536-degrees.

The sum of 12960-years would be 1/2 the 25920-year duration of the Precession of the Equinoxes.

The Great Pyramid has a flat altar floor 453.6-feet above its base and has always been a truncated pyramid. Its base length is 9072-inches (4536 X 2) etc. Because the Great Pyramid encoded highly specialised numbers in its dimensions and angles, it represented a kind of Platonic solid and bureau of standards for the preservation of the numbers of civilisation. It also acted as a template by which sites like this at Taupo, New Zealand could be built with accuracy.

SITE 2 – POSITION 10.

This outer marker sits a coded distance of 1312.5-feet from the hubstone on an angle of 4.8-degrees. This distance is 1/4th of a Greek mile of 5250-feet. For tutorial purposes, this position would also have encoded 1320-feet or 1/4th of a mile of 5280-feet.

The dot in the sky of this picture is a parachutist.

SITE 2 – POSITION 11.

This impressive looking obelisk now lies on its side under trees, but can be detected in this 10-year old Google Earth image. The outer marker sits 1344-feet from the hubstone on a coded angle of 7.0875-degrees.

The 1344-feet value is navigational 134.4-feet would be 1/45th of 1-minute of equatorial arc (6048-feet).

The angle value is in homage to the 708.75-feet side length of the Khafre Pyramid (Egypt's Pyramid of the moon). The sum of 708.75-days would be 2 lunar years.

Yet another very impressive obelisk lies under trees nearby, but is totally obscured in the Google Earth image.

This large shark-fin shaped obelisk sits under the canopy of trees beyond site-2 position number 11. It possibly carries the ancient distance code of 1306.8-feet, but we need an accurate GPS fix to truly ascertain the code of position.

SITE 2 – POSITION 12.

This outer-marker sits 1375-feet from the hubstone on an angle of 5-degrees.

A progression based upon 1375 goes:

1375, 2750, 4125, 5500, 6875, 8250, ... 11000, ... 16500, etc.,

This progression provides values related to the British standard league, which was anciently 16500-feet or 3.125-miles of 5280-feet.

SITE 2 – POSITION 13.

These obelisks sit under eucalyptus trees just beyond position 12. One of their intended length codes was probably 1417.5-feet from the hubstone.
More obscured positions.

These 3 impressive boulders, mottled in tree shadows and sunlight, are obscured from view in the Google Earth image. Again, we will be obliged to return with sophisticated GPS equipment in order to get a precise coordinate fix and work out the positional codes for these large, purpose-placed boulders. There are a number of similar markers under the tree canopy, the positions of which remain unrecorded.

SUBDIVISION BOULDERS & LOST POSITIONS.

Within the Wharewaka subdivision, as well as  the surrounding reserves, many component obelisks of the former standing stone site have been plundered  for use as fence-line features or ornamentation within gardens, etc. Some of these have ancient bullaun bowls carved into them or cross-hatching incising over their surfaces, showing that the positions or obelisks themselves had significance to the ancient people who erected them.

Large slab boulders adorn the fence-line edge that leads into the Wharewaka Point Lakeside Reserve and were laid out in this configuration sometime after 1999. Prior to that time they lay in a cluster or cairn at approximately 3000-feet from the hubstone on a coded angle of 312.5-degrees.

The large obelisk slabs were derived from a boulder cairn (bottom left) shown in this 1987 photo. Perhaps this was a boulder dump of obelisk components, pushed together by bulldozers when roads were put in for Wharewaka subdivision number 1. A second probable code of position was 2953.125-feet from the hubstone @ 312.5-degrees, as this was a highly important lunar code.

This giant obelisk has an ancient bullaun (bowl) carved into its surface and, if in ancient Ireland, that would indicate use as a blessing and cursing altar. It also has incised lines running at 90-degrees across the bullaun bowl.

The carved out bullaun, crossed by incised lines.

Yet another of the reserve barrier obelisks, this one with a carved out bullaun bowl, bathed in shadow, as well as straight line incising marks.

The bullaun in the second huge obelisk now used as a barrier fence to prevent car access onto Wharewaka Point Reserve.

A boulder eastwards across the highway from the hubstone has a considerable number of incised, cross-hatching lines over its surface.

Long incised lines criss-cross the boulder and it probably represented a directional marker. It is part of an alignment of impressive boulders that are situated across the main highway, beginning at a point 300-feet away from the hubstone and at 40-degrees.

The line was probably put there by the ancient astronomer-surveyors to give a series of even degree angle readings fanning around from 40-degrees NE to 10-degrees NNE or so. The boulder line runs along a fence-line, much of it now under bush. A boulder pile or cairn, under trees adjacent to the old farm gate, might be made up of former components of the boulder line, pushed into a heap during road construction for the main highway.

This line of boulders seemed to originally function for marking specific degree angles from NE to NNE of the hubstone situated across the highway. Another similar boulder line was laid out to the ENE at 600-feet distance from the hubstone.

What’s left of the ENE boulder alignment after many years of neglect and abandonment. Some of these boulders were observed to have incised features also.

PYRAMID GEOMETRY.

In this year-2008 picture a pyramidal-shaped obelisk sits 756-feet from the hubstone at 40-degrees. The yellow line in the picture, beginning at the hubstone, traverses the first of the boulder line-up across the highway, which heads north along the fence. The line then crosses a mound to finally resolve upon the pyramidal shaped obelisk in the farm paddock.

The large pyramidal marker stone which, until 2009, sat 756-feet from the hubstone on an angle of 40-degrees.

After that time a new bypass highway was built and this impressive boulder and a huge companion boulder were shunted 84-feet northwest to get them clear of road development. Thankfully, we still know their exact former positions in relation to the hubstone, based upon topographical photos from 1987, 1999, 2004 and 2008. In the background of this picture a car is seen travelling on the new bypass highway.

The impressive companion obelisk in the field that once sat 720-feet from the hubstone at a tipped-over angle of 40.5-degrees. Even on its side it’s 6-feet tall.

The largest obelisk of the entire site, even dwarfing the huge hubstone, is this massive boulder with an anciently hewn seat cut into it. Since 2004, it has lain beside the entry road into the Wharewaka subdivision, as, before that time, it totally obstructed the only possible access point for a new, two lane entry road into the subdivision.

This 2-dimensional, precise replica of the Great Pyramid was clearly marked into the terrain at Wharewaka, Taupo with outer-marker obelisks at each corner. The pyramid design was offset from east-west by 50-degrees so that the base line ran from the hubstone to the northeast obelisk marker on an angle of 40-degrees. The massive boulder that once marked the apex of the pyramid geometry until the year 2004 sits off to the ESE, its former position now paved over with asphalt.

1. A mathematical progression based upon 756 goes:

756, 1512, 2268, 3024, 3780, 4536, 5292, 6048, 6804, 7560, 8316, 9072, … 11340, … 13608, … 18900, … 36288, … 54432, … 56700, … 130636800.

In the above line-up, 6048-feet is 1-minute of equatorial arc; 6804-days is the length of the lunar nutation cycle; 1306.8-MPH is the rotational speed of the Earth; 362880 is the number of feet in 1-degree of equatorial arc; 567-days would be 1/12th of the lunar nutation cycle; 130636800-feet would be the equatorial circumference (6048-feet X 60 X 360) under this navigational method.

2. A mathematical progression based upon 720 goes:

720, 1440, 2160, 2880, 3600, 4320, 5040, 5760, 6480, 7200, 7920, 8640, … 10080, … 10800, … 11520, … 12960, … 13680, … 17280, … 25920, … 51840, … etc.

The sum of 2160-years is the time the sun spends in each House of the Zodiac during the 25920-year cycle of the Precession of the Equinoxes; 7920-miles is the diameter of the Earth; 51840-feet is the circumference of a circle, with a diameter of 16500-feet (ancient English league) using PI @ 1728/550ths and this was of primary importance when travelling sea-legs in sailing ships and doing accurate positional plotting at the termination of each leg.

3. A mathematical progression based upon 40.5 degrees goes:

40.5, 81, 121.5, 162, 202.5, 243, 283.5, 324, 364.5, 405, … 486,… 567, … 648, … 729, … 850.5, … 891, … 972, … 1134, … 1215, … 1296, … 1458, … 2551.5, … 6804, … etc.

This progression is very useful in providing values applicable to lunar cycles being monitored within the lunisolar Sabbatical Calendar system. The sum of 40.5-days would be 1/63rd of the 2551.5-day lunar period (7.2-lunar years) being tracked alongside 7-solar years (2556.75-days) under the dual-count system. On the druidic Calendar of Coligny, blocks of 1890-days were monitored under the lunisolar system. These 1890-days could be divided by either 63 or 64 for reading solar or lunar periods concurrently. Therefore: 1890-days ÷ 64 = lunar months of 29.53125-days each … or 1890-days ÷ 63 = solar months of 30-days each.

SO WHY DID THE ANCIENT SURVEYOR-ASTRONOMERS MARK A 2D, FULL-SCALE REPLICA OF THE GREAT PYRAMID IN THE TAUPO TERRAIN?

The ancient New Zealand surveyors, setting out obelisk markers at purpose-placed, code bearing positions, needed to create a template for accurate angle work. Many of the outer-marker positions were a considerable distance from the centre hubstone, including the Taupo View Lookout array over 4.6-miles due north.

For the world travelling cousin civilisations, setting up new colonies or substantial civilisations on other continents far-removed from their Mediterranean/ Continental European/ British Isles countries, they carried special mathematical and geometric knowledge to the new lands they settled.

This was very old knowledge that had been encoded into positions of Egypt’s Giza Plateau, the former “Bureau of Standards” for the ancient cousin civilisations, whose forebears had abandoned Egypt, starting in about 5000 BC* when it got too arid.

The “out of Egypt” trails towards Continental Europe and Great Britain were still in evidence in the late 19th century, all along the Mediterranean Coast of North Africa to the Pillars of Hercules. There, the wayfarers crossed the narrow strait of water from North Africa to Europe and continued on the marked trails up the coasts of Spain, Portugal and France to Scandinavia, with some groups branching west to the British Isles or east into greater Europe.

*Footnote: There is a huge body of fully substantiated evidence that the Pyramids of Giza are far older than the phoney date assigned to them by our archaeologists and academics.

There is also much evidence to show very vibrant, trans-cultural diffusion and intermigrations between Egypt and the greater Mediterranean with the British Isles and Continental Europe, from remote antiquity and that all the countries encircling the Mediterranean Sea were once populated by long enduring, Caucasoid-European civilisations.

The formerly wet (savanna climate) North African region began to become increasingly arid because of the monsoons receding further to the south. This was due to the Earth’s tilt changing from 24.1-degrees 8000-years ago to 23.5-degrees today. After the Earth's tilt reached a critical point, the monsoons dowsing North Africa decreased and the vegetation began to disappear. With fewer plants available to retain water and release it back into the atmosphere, the rains declined ever more rapidly until desert conditions set in permanently.

Large segments of population, obviously realising there was no future staying in Egypt, turned their attention to and headed for the lush, vast territories of Europe, bringing with them the totality of their culture and sciences, including their weights, measures and volumes standards, tartans, kilts bagpipes, harps and Gaelic or related languages. Evidence suggests that the venerable oak tree, originating in ancient Egypt, was also carried to the new lands for transplanting.

The oldest mummies of Egypt are of Caucasoid, Europeans.

With the gradual abandonment of Egypt, starting in about 5000 BC, and its latter slow decline or subjugation by other invading groups, the only regions where the original mathematical and measurement systems that built the pyramids were preserved was amongst the European nations.

Very ancient waymark trails, composed of cairns, standing stones and dolmens were erected all the way across the top of North Africa, from Canaan-Israel-Palestine to the Straits of Gibraltar. The way mark trails (for travellers) continued up the coast of Spain, Portugal and France to Scandinavia.

'It is the view of many scholars that the general usage and scientific applications of standing stones or other types of stone landmark monuments, achieved their greatest sophistication in the British Isles, a region known to the ancients as the 'Isles of the West'. What remains of the ancient trails today points the way back to the place from whence peoples of the modern European nations came' (See Palestine, by Major C.R. Conder, R.E., George Philip & Son, 1889, pp. 142-157).

Further evidence of this mass migration out of the Near East / Middle East is found in Pre-Dynastic Egyptian skull types or those of Mesopotamia from 5,000 years ago. These can be matched to types found in 17th Century, London plague pits or Neolithic cist graves in Switzerland (See Races of Europe, by Professor C.S. Coon, Macmillan, N.Y., 1939).

Recently, scientists  who managed to obtain full genome sequences of Ancient Egyptians for the first time have concluded the people of the pharaohs were more closely related to modern Europeans and inhabitants of the Near East rather than present-day Egyptians:

We find that ancient Egyptians are most closely related to Neolithic and Bronze Age samples in the Levant, as well as to Neolithic Anatolian and European populations (Fig. 5a,b). When comparing this pattern with modern Egyptians, we find that the ancient Egyptians are more closely related to all modern and ancient European populations that we tested (Fig. 5b), likely due to the additional African component in the modern population observed above. https://www.nature.com/articles/ncomms15694

For thousands of years the cousin nations had used standard techniques, encoded into the dimensions and angles of the Giza pyramids, to provide templates for surveying and calculating accurate angles within a 360-degree system. When setting up a sprawling open-air-university at Taupo, New Zealand, a century or two after the 186 AD volcanic explosion that had devastated the entire region, they would need to use the ages-old, standard template.

This is a perfect 2D replica of the Great Pyramid at Ernest Kemp Rise Park and an adjacent field across the highway, marked into the ground by giant obelisks on each corner.

By 2004 the largest obelisk of the entire region, marking the apex position of the pyramid geometry, was unceremoniously shunted 124-feet @ 252-degrees sideways to its present position in order to provide room for a road into the new subdivision development. An arrow shows how it was moved from its former to present position.

Other arrows to the right show where other giant obelisk markers resided until they also were shunted sideways by bulldozers in 2009. One marks the pyramid geometry corner @ 756-feet and the other, larger obelisk seems to have been tipped off-line @ 720-feet out from the hubstone.

Senior citizen, academic and long-term resident of Taupo, Graham Parminter (right) well remembers the giant obelisk in situ, before it was moved by heavy machinery in 2004. He was present when it was moved. At ground level to Graham’s side can be seen the hewn-out seat and, further around the stone, the hewn-out footrest edge.

For several years prior to 2004, Graham Parminter had recognised features within the array of standing stones at Ernest Kemp Rise that were unnatural and suggestive of a purpose-built site. He was intrigued to discover a hand-hewn seat, complete with a foot rest, in the top of the huge obelisk and noted that anyone in the seat was looking directly at Taupo’s most lofty and impressive landmark, Mount Tauhara.

On and before the day of the obelisk move in 2004, Graham had carefully viewed from its position, down the line of smaller marker boulders to the hubstone, over 611-feet away, and committed the alignment permanently to memory, as he knew the original, in-situ, position was somehow very important.

He graciously showed us the exact, former position by moving across the new entry road, then orientating himself to be on the alignment of boulder-marked positions emanating directly from the hubstone. He then pointed to the spot on the asphalt where the giant obelisk had once stood upright for countless generations.

I must admit, I breathed a sigh of relief, as my calculations for a 2D replica of the Great Pyramid put the apex stone at that position.

Graham Parminter getting himself into position to look down the line of stone markers, leading back to the hubstone just over 611-feet away, in order to orientate himself and finally fix onto the former position in the road where the giant obelisk once stood.

It’s a sad state of affairs when intelligent observers like Graham can readily see what’s so vividly in the landscape, whereas our so-called archaeologists, geologists and sundry gaggle of experts can’t detect anything of significance, so, in their ignorance, sign off sites like this for commercial exploitation, destruction and permanent eradication of the irreplaceable archaeological treasures.

After showing us the former standing position of the giant obelisk, Graham went through his archives and found an old drawing he’d done as the new subdivision work commenced.  With a red pen he drew in the extra lane that had to be built.

The giant obelisk formerly sat on a grass verge beside the much smaller-width entry road and the seat at its crown pointed towards Mount Tauhara. Graham had been intrigued and studying the general layout of obelisks since the year 2000.

In the 1987 topographical photo the giant obelisk could be detected as a somewhat blurred object that presented as a definite shape.

A photo of, what had been, the top side of the obelisk before its excavation and move in 2004, was taken into Photoshop, cut-out around its perimeter with the lasso tool, rotated 20-degrees CCW, colourised reddish, reduced in size to 50 pixels then placed over its pixelated outline in the 1987 topographical photo. It fitted the perimeter perfectly and can be seen in the above photo, enhanced in a reddish hue. It sits precisely where it should in order to represent the apex position in a 1:1 scale, 2-dimensional representation of the Great Pyramid’s measurements and angles, marked into the Wharewaka terrain by large obelisks on each corner.

Of course, the obelisk had a second function as a surveying station in an overland alignment that ran from Mt Edgecumbe (Putauaki) 57-miles ENE … to the obelisk, … to the centre of Motutaiko Island in the middle of Lake Taupo, … across the high-point of Mt Tongariro … to Mount Cook (named Aoraki/ Aorangi at a late era of the 19th century) in the Southern Alps of the South Island.

SETTING UP A GROUND-MARKED TEMPLATE FOR ANGLE COMPUTATIONS AND TRIGONOMETRIC CALCULATIONS ONTO DISTANT TARGETS.

Before the sprawling, standing stone array could be set up with the obelisks in their purpose-placed, precise positions it was needful to create a ground template from which accurate degree angles could be computed. That template was based upon the geometry of the Great Pyramid, which opened up the following, accurate surveying possibilities:

Method 1.

By conventional trigonometry, based upon half the Great Pyramid’s length (378-feet) and a face (hypotenuse) slope angle 51.84-degrees, the calculation formula is: 378 ÷ 51.84 cos = 611.789461540 for the length of a diagonal face.

This is then multiplied by PI @ 22/7 = 1922.7668791268550-feet for the circle circumference. When this value is divided by 360-degrees the length of 64-inches is 1-degree of arc to a tolerance of 1/11th of an inch. This would be an easy-to-read and calculate number to work with when calibrating a 360-degree compass circle, where every 5 & 1/3rd feet (64-inches) represented 1-degree.

Method 2, where modern approaches to calculating in Sine, Cosine & Tangent trigonometry is not necessary.

Virtually the exact same result can be achieved by using the PHI ratio of 1: 1.6180339. Therefore 378-feet X 1.6180339 = 611.6168142 (a mere 2-inches shorter than by the first method). When this diagonal length value, used as a radius value, is multiplied by PI @ 22/7 the circumference generated is 1922,2242732-feet or essentially the same 64-inches per degree of arc, but this time to a tolerance of 1/14th of an inch. This also equates to 3.3 PHI feet (1-foot X 1.6180339) for each arc shift of 1-degree.

Of course, the option was also available to create circles with a radius of 756-feet that centred on either the hubstone or its counterpart, situated 756-feet away at the opposite end of the baseline to the NNE. Such a radius would create a circle with a circumference of 2376-feet (using PI @ 22/7th). On this circle, every 6.6-feet (79.2-inches*) would represent 1-degree of arc shift).

*Note: The increment of 7.92-inches was known as the “link” and was widely used in surveying into modern times before the unfortunate introduction of metrification. The link was 66/100th of the surveying increment called the “chain” and there were 80 chains to the mile (5280-feet) or 8-furlongs/furrowlongs (660-feet).

Within the ancient, ground marked 2D pyramid geometry, all 3 corner points could be used to determine accurate angles to targets through 120-degree sweeps of the horizon, respectively, using the straight line vector of a pyramid side or base opposite, housed within a circle.

Method 3, the apex circle.

In the above picture a PHI based circle emanates out from the apex to touch the corners of the ground marked pyramid geometry.

Because the diagonal side (face) length is the product of 378-feet X 1.6180339 = 611.6168142-feet (to all intents and purposes the same length as generated by a 51.84-degree slope angle) the PHI ratio of 1: 1.6180339 comes into play. Therefore, if the face line from the apex to the base is drawn inwards 1-foot along the baseline, the length of the sloping face (hypotenuse) decreases in length accordingly, whereas the base length decreases from 378-feet to 377-feet, and so forth.

This condition continues for 378 feet until the vertical centre line from the base to the apex is reached, at which point the hypotenuse line begins to increase again marginally with each additional sideways vector shift of 1-foot along the 756-feet baseline. This subtle shortening or lengthening of increments along the baseline would be recorded and become the basis for log numbers in angle computations.

At the same time the original length of the face (hypotenuse) of 611.6168142-feet continues to act as the radius of the circle produced from it. In this circle, each 10.66666-feet* (128-inches) of shift = 1-degree of arc to a tolerance of 1/81st of a foot or 1/7th of an inch.

*Note: 611.6168142-feet would be equivalent to 226.8 Megalithic Yards, if Scottish engineer, Professor Alexander Thom’s, estimate for a Megalithic Yard was off by a mere 1/300th of an inch (visually undetectable). He found a recurring measurement on Megalithic sites that he averaged to 89.2 centimetres and this would equate to 32.6378-inches. However, ancient civilisations were using PHI-inches (1-inch X 1.6180339) or PHI feet in their calculations, as well as copious use of the PHI reciprocal in the form of 10-inches ÷ 1.6180339 = 6.18034-inches*. 

Professor Alexander Thom’s Megalithic yard was assuredly based upon 20-inches X 1.6180339 = 32.360678-inches.

*Note: The PHI reciprocal formula was essential to “squaring the circle” when producing capacity tubs for selling quantities of grain or dry-goods in ancient marketplaces.

For example, the ancient English bushel was intended to be 2160 cubic inches.  The old English Winchester standard described a bushel tub as: "any round measure with a plain and even bottom, being 18.5 inches wide throughout and 8 inches deep". This was a slightly “drifted” capacity by the time the standard was written, but was obviously, originally based upon 3 X 6.18034-inches or 18.54102-inches.

Therefore: Using PI X the radius squared, the result is: 6.18034-inches X 3 = 18.54102 inches ÷ 2 = 9.27051-inches (squared) = 85.94235566 X PI = 270-square inches X 8-inch high sides above the round base = 2160 cubic inches.

All ancient measures of the cousin civilisations had to contain codes in their capacity values. In this case it was 1/12th of the 25920-year duration of the Precession of the Equinoxes, where the sun spends 2160-years in each House of the Zodiac. Coincidentally or not, the diameter of the moon is 2160-miles.

*Note: The ancient French Pied du Roi was 1.0666666-feet or 12.8-inches.

Method 4, the truncated pyramid circle.

Similarly, throughout all recorded history the Great Pyramid was a truncated pyramid with a flat floor, 44-feet square, situated at a vertical height of 453.6-feet. This height complies with 280 rounded PHI feet of 1.62-feet each (19.44-inches) or could be read as 280 X 1.6180339-feet to a tolerance of about 1-inch. With the base length of the Great Pyramid (756-feet) being 9072-inches, the half value is 4536-inches (378-feet).

There was, therefore, yet another option available to the ancient savants-surveyors of Wharewaka, Taupo to create a circle at 90-degrees to the centre baseline that ran towards the apex of the pyramid geometry, representative of where the flat altar floor sat atop the Great Pyramid. Therefore, a circle based upon a radius of 453.6-feet X PI @ 22/7th would generate a circumference of 1425.6-feet. This would mean that each 3.96-feet (47.52-inches) would represent 1-degree of arc shift around the circle.

Of course, 3960 is half of 7920 (the diameter of the Earth in miles of 5280-feet each). Also, the sum of 47.52-inches is simply 6 “links” of 7.92-inches, used in traditional British surveying practice since time immemorial.

Method 5, the full height pyramid circle.

And again, the savant-surveyors had the option to run yet another circle from the apex obelisk to the centre baseline position situated 378-feet @ 90-degrees from either the hubstone or the pyramidal obelisk opposite at the other end of the baseline. Trigonometry dictates that the vertical height of the Great Pyramid, complete with its capstone, would have achieved 481 & 1/11th feet to a very close tolerance.

Using this value, the circle generated by this radius, again using PI @ 22/7th, would be 1512-feet in circumference. Of course, this circumference is 2 X 756-feet (the length of the Great Pyramid at its base and 1/8th of 1-minute of equatorial arc for the world). In this circle each 4.2-feet (50.4-inches) would equate to 1-degree of arc shift.

These comparisons or ratios between the shortening of the hypotenuse, concurrent with the shortening of the baseline in a triangle, became the basis for creating logarithmic charts for trigonometric calculations. Using all 3 sides of the 2D Great pyramid, orientating out in 3 directions and covering 120-degrees of horizon each, allowed the ancient people to do accurate distance and angle calculations to determine just how far away horizon targets were.

Beyond setting up this very accurate and versatile template the ancient surveyors of New Zealand would have used long knotted ropes* to set out their geometric patterns or the compass circles derived from the geometry. In ancient Egypt such surveyors were called “rope stretchers” or “harpedonaptai”.

*Note: In ancient New Zealand complex numbers were recorded by specially tied knots on strings. These devices were called “kupu” or aho ponapona or aho tiponapona (also tau ponapona) meaning “many knotted cord”. In the oral traditions of the Maori wharewaananga (school of ancient lore) these were also known as the “string knot language”. The same devices were used in South America for recording complex numbers and, in Peru as elsewhere, were called “khipu or quippu” … phonetically the same as “kupu”.

The kupu devices used by the ancient New Zealanders were sufficient to record the many refined logarithm numbers used for accurate surveying and angle calculations.

The half scale, two dimensional, Great Pyramid geometry at Stonehenge.

It seems apparent that Stonehenge was originally laid out using a half-scale, Great Pyramid template. The above picture is in perfect scale.

As with many other megalithic sites, some circles within Stonehenge are slightly elliptical. However, a 378-feet diameter circle (blue) encases the Stonehenge site virtually perfectly from outer-ditch-edge to outer-ditch-edge across the entire site, excluding only the more extended Avenue and Heel Stone.

A stone marker designated as “H” in the above scaled plan delineates how a pyramid base line goes from 135-degrees to 315-degrees from the edge of the outer ditch, across the embankment, through the site’s epicentre, across the opposite embankment to finally resolve at the outer ditch edge 378-feet distant (half the length of the Great Pyramid).

At the same time, a line commences centrally at 90-degrees opposed to the pyramid baseline and runs for 240.5-feet @ 45-degrees to resolve against a post on the Avenue. En-route it dissects a Sarsen obelisk, as well as post positions on the Z-Holes Circle, Y-Holes Circle, brushes a post on the Aubrey Circle, runs between stones D & E, dissects a post row and resolves upon an end post near the Heel Stone.

On the southwestern side the pyramid hypotenuse line brushes past recumbent marker stones, now tumbled off the top of the embankment to lie slightly off-line, brushes the Aubrey Circle, brushes stone "C" to then resolve on the end post.

The evidence suggests that this pyramid geometry at Stonehenge was set up to be swivelled in order to place the apex of the pyramid template onto each of the 4 posts at the apex (a 5-degree spread). All of these determinations would have been accomplished by “rope stretchers” or “harpedonaptai”.

With regards to ancient surveyors deliberately making ancient circles elliptical, Professor Alexander Thom stated:

'builders occasionally distorted circular monuments, to make the relationship perfect and that this is at the root of the custom of creating oval rings' (see: Stonehenge, Neolithic Man and the Cosmos, by John North, pg. 302).

The Sarsen Circle at Stonehenge was slightly elliptical in order to carry 90-degrees opposed diameter codes. The diameters of the Sarsen Circle inner ellipse are 100-feet, and then, 90-degrees opposed, 100.8-feet respectively, Whereas the 100-feet diameter rendered a circumference of 314.16 (coding PI X 100), the 100.8-feet diameter was 1-second of equatorial arc for the world’s circumference.

Further to that, the Great Pyramid is erroneously purported to have been built about 400-years after Stonehenge, when in fact all the evidence proves it’s as much as 10,000-years older (or more).

The PHI ratio at Stonehenge.

Unsurprisingly, the PHI ratio is well-represented at Stonehenge in the concentric circles of the site. This preoccupation of using the PHI ratio thus duplicates methodologies of the ancient surveyors at Taupo, New Zealand.

The Aubrey Circle (red) at Stonehenge has a coded diameter of 288-feet, converting to a circumference of 907.2-feet using PI @ 3.15.  Of course, 9072-feet would equate to 1 & ½ minutes of equatorial arc for the Earth. Likewise a mathematical progression, based upon 288, generates a string of highly important numbers used in ancient navigation, etc., and the Egyptian Pyramid Acre was 28800 square feet.

The 288-feet Aubrey circle ÷ by PHI @ 1.6180339 produces the next inwards concentric circle called “Y”-Holes (red) @ a coded diameter of 178.2-feet (to a tolerance of 2.4-inches).  This diameter value sets up a mathematical progression that generates a raft of numbers related to navigation, precession, etc.

The Y-Holes Circle is reduced by PHI to generate the concentric ring that encircles the outer rim of the Sarsen Circle (red), with a diameter of 110-feet. This is an “11” family value that relates to navigation by the mile of 5280-feet. This family of numbers used PI @ 1728/550th to generate whole number circumference readings, thus it converts to 345.6-feet for the outer rim of the Sarsen Circle. The sum of 345.6-miles would be 1/72nd of the 24883.2-mile equatorial circumference or 5-degrees of arc.

The Z-Holes Circle (blue) in the above scaled picture that stands outwards from the Sarsen Circle is 132-feet in diameter. It is not a PHI reduced or generated circle, but is based upon the “11” family of numbers (12 X 11). Again it relates to navigation by the mile of 5280-feet and 132-feet = 1/40th of a mile. This diameter converts to 414.72-feet using PI @ 1728/550th and 414.72-miles would be 1/60th of the 24883.2-mile equatorial circumference.

Added to the above, there was yet another PHI circle (red) outwards from the Aubrey Circle, the limits of which were marked by stone “B” on the Avenue. This position generated a circle diameter of 466-feet using pure PHI @ 1.6180339 or 466.56-feet using “rounded” PHI @ 1.62. The intention was to capture the number 466.56-feet. Under the 130636800-feet assignment for the equatorial circumference of the Earth (12 X 12 X 12 X 12 X 1.2 miles of 5250-feet each) the sum of 46656-feet would be 1/2800th part.*

*Note: The sum of 933120-grains (466560 X 2) was the ancient Sumerian-Babylonian Talent weight.

Much more could be said about the mathematical relationships, numbers used and self-same measurement or angle standards shared between these, half-a-world removed sites, but Stonehenge is not the focus of this article.

MOUNT TAUHARA AND THE WINTER SOLSTICE ANGLE

From the hubstone, at the time of the winter solstice, the “first glint” of the sun can be seen to the right hand base of Tauhara’s centre cone hump. The sun climbs the hump edge to finally bath and obscure the whole crater in a blaze of light.

About 612-feet away from the hubstone at the apex of the pyramid geometry was the giant obelisk with its seat facing Mount Tauhara. It seems obligatory that observations were being made onto the winter solstice “first glint” position from that end of the hypotenuse line (a surveyor’s baseline of precise known length). For calculating overland distances by trigonometry, one needs a surveyor’s baseline from which degree angle readings to the target are made from each end of the line.

Other advantages of using a 2D Great Pyramid template for standardised trigonometric calculations.

The length of the Great Pyramid @ 756-feet of 12 (so-called) English inches converts to increments used or shared by the ancient cousin nations:

Therefore, 756-feet is also, 720 Greek feet of 12.6-inches; 360 Assyrian cubits of 25.2-inches; 432 Hebrew/ Celtic royal cubits of 21-inches, 504 Hebrew/Celtic common cubits of 18-inches; 540 Hebrew “cubits of a man” of 16.8-inches; 72 Hebrew/Greek reeds of 10.5-feet; 1.44 Greek short stadia of 525-feet; 1.2 Greek long stadia of 630-feet;  777 & 7/8ths Roman feet of 11.664-inches, 155 & 5/9ths Roman Paces of 58.32-inches, etc.

There was obviously a Roman overland foot of 11.666666-inches (11 & 2/3rds) and Pace of 58.33333-inches. There would be 777.6 Roman overland feet in 756-feet or 155.52 Paces. Note: the sum of 1555.2-miles equates to 1/16th of the 24883.2-mile equatorial circumference. The half value of 1555.2 is 777.6.

Then again, 3 variations of the Egyptian Royal cubits fit the code-bearing dimensions of the Great Pyramid under its 756-feet or 756.25-feet assignments.  There was also a symbolic PHI length (560.6 X 1.6180339) or a literal rounded PHI length (560 X 1.62 –feet).

Beyond that one needs only to look at the most ancient European measurements, ranging from the British Isles, Atlantic seaboard countries and ranging across into Eastern Europe to see they were/are in direct ratio to the Great Pyramid’s dimensions. Here’s a link to ancient Swedish standards: http://www.celticnz.co.nz/VikingNavigation.htm

IN SUMMARY.

Up until recent years there was an expansive, fully-fledged, mostly surviving standing stone array at Taupo, which had been built by the ancient inhabitants, undoubtedly, a century or two after the 186 AD volcanic explosion that devastated the area. Huge effort went into moving massive obelisks to precisely pre-determined positions and erecting them to stand unnaturally upright.

Each outer-marker obelisk contained at least two codes of position around from due north, one of distance and one of angle. Both the measured distance out from the hubstone and the angle number generated within a 360-degree system, produced encoded scientific numbers that were needful for the establishment and maintenance of civilisation and abundant society. The cyclic-astronomical, navigational and lunisolar calendar sciences were encoded by a parcel of highly specialised numbers in strings or progressions.

Unfortunately, our archaeologists and other disciplines of experts were not sufficiently trained or interested to see, what was so glaringly, in-plain-sight before their eyes at Taupo, so let a world-class, archaeological site, almost on a par with Avebury Henge in Southern England, be destroyed. Small sections yet remain to demonstrate what was there in much greater profusion, but the once expansive site now reduced to a mere shadow of its former glory.

This is a sad loss for New Zealand and the worldwide research community.

Martin Doutré, 30/9/18.©

With special thanks to Graham Parminter, who remained eternally vigilant in trying to alert others about the obvious archaeological and historical importance of this site.

To be continued.  

Martin Doutré, Auckland, New Zealand © 30th September 2018