Units within the Great Pyramid of Giza

There is a great way to express pi of 22/7 using two concentric circles of diameter 11 and 14 (in any units). Normally, a diameter of 7 gives rise to a circumference of 22, when pi is being approximated as 22/7 (3.142587) rather than being the irrational number 3.141592654 … for then, the 14 diameter should have a circumference of 44, which is also the perimeter of the square which encloses a circle of diameter 11.

The square of side 11 and
the circle of diameter 14
will both have the same perimeter.

Figure 1 The Equal Perimeter model of two circles, the smaller of which has an out-square of equal perimeter to the greater circle

This geometry, first found by John Michell [1933-2009], and by others after that, within the monuments and artifacts of the megalithic, ancient and medieval worlds: notably Stonehenge where the mean diameter of the Sarsen Lintel ring is 14 units while the concentric bluestone circle appears to have had a diameter 11 of the same units. One of a handful of known models known to the ancient world, this work continues on from my forthcoming book, Sacred Geometry: Language of the Angels.

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Sacred Geometry: Language of the Angels

Pages: 288
Book Size: 8 x 10
ISBN-13: 9781644111185
Imprint: Inner Traditions
On Sale Date: January 5, 2021
Format: Hardcover Book
Illustrations: Full-color throughout

For further details of the book look at the growing Publisher pages for it at Inner Traditions.

Durrington Walls and its massive circle of Pits

Recent analysis of animal bones within Durrington Walls indicated, to the archaeologists involved, that people had travelled there from all over the British mainland, along with animals then eaten inside the henge[1]. But what would these people be doing there? It had earlier been suggested that an elite responsible for building Stonehenge lived in a wooden roundhouse within the henge ([2] see figure 1). So, people may have come from elsewhere to help the building works now found between Stonehenge and Avebury.

Figure 1 Reconstruction of the likely roundhouses within the Durrington henge, based on post-hole evidence [2]

More recently, pits have been found [3] within a circular strip that I notice lies between 3168 feet and 4038 feet from Durrington Walls, a boundary 864 feet wide. The pits may contain the material remains of the building elite and perhaps of those workers who died, functioning like nearby barrows but vertically.

This post aims to explain why this might have been done according to a significant geometrical pattern. In the megalithic, numbers played an active role and this perhaps inspired the myth of Atlantis recorded by Plato – the classical Greek writer who transmitted the ancient notion that numbers had a causative role in forming the “world soul”, rather than our usage for number: a means to quantify things within civilized societies or laws of nature.

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Fields, Racetracks and Temples in Ancient Greece

The fields of ancient Greece were organised in a familiar way: strips of land in which a plough could prepare land for arable planting. Known in various languages as furlong https://en.wikipedia.org/wiki/Furlong, runrig, journel, machen etc, in Greece there was a nominal length for arable strips which came to be associated with the metrological unit of 600 feet called a stadia. The length of foot used was systematically varied from the foot we use today, using highly disciplined variations (called modules); each module a numeric ratio of the Greek module, whose root foot was the English foot [Neal, 2000]. These modules are found employed throughout the ancient world, lengthening or reducing lengths such as the stadia, to suit geometrical problems; such as the division of land into fields (figure 1).

Machine generated alternative text:
Oxgang = 15 Acres 
4 Rods
Figure 1 The land area of an acre seen as the amount of land tillable by one ox in a ploughing season
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Use of Ad-Quadratum at Angkor Wat

The large temple complex of Angkor Wat ( photo: Chris Junker at flickr, CC BY-NC-ND 2.0 )

Ad Quadratum is a convenient and profound technique in which continuous scaling of size can be given to square shapes, either from a centre or periphery. The differences in scale are multiples of the square root
of two [sqrt(2)] between two types of square: cardinal (flat) and diamond (pointed).

The diagonal of a square of unit size is sqrt(2), When a square is nested to just touch a larger square’s opposite sides, one can know the squares differ by sqrt(2)
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The Three Worlds at Gavrinis

following on from previous post,
an article by M Guillaume found in
AAK Etudes et Travaux No. 1, 1977

Do these three stages [at Gavrinis] not correspond to the three creations, probably inherited by Celts, and  those in Egypt, preceding access to a sanctuary?

Fig. 10 Top left: A tracing of the Druid worlds, the circle in the square defining three areas: Abred (circle of necessity) and Annouim and Gwenwed (the white world). Top right:  On the stone Suèvres, these worlds are the figures by concentric squares. Bottom: In Christianity we find the same structure: this rose at Chartres has a fourth inner circle.
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