A House that is your Home

This graphic demonstrates how the inner geometry within numbers can point to significant aspects of Celestial Time or here Space regarding the relative sizes of the Earth and the Moon, namely 11 to 3 according to pi as 22/7.

In some ways one cannot understand numbers without giving them some kind of concrete form as with seeing them as a number of identical units. Sixteen units can make a square of side 4 since the square root of 16 is 4 and 6 is factorial 3 (3! = 1 x 2 x 3 and 1 + 2 + 3) which is triangular, so together they make 22, and if the triangle to placed on top of the square, like a house and its roof, then the house is 7 tall. If you want an accurate approximation to pi of 3.14159 … (pi is transcendental), the 22/7 is good and the house defines it.

This adds another mystery to this form of pi often used in the ancient world where numbers were best handled as whole numbers and ratios of these. This pi allows a circle of diameter 11 to be set within a square of side 11, whose perimeter is then 44. This can be seen in the diagram as made up of 16 yellow squares and 6 blue ones, centered on the circle and making 22 squares in all.

If one looks to the end of the 7th square, as a radius, then 22/7 will deliver the dashed circle (red) of circumference 22 and hence equal to the house number (16 +6 = 22) just 1.5 units beyond the first circle (green). This is called the equal perimeter geometry and a small circle radius 1.5, diameter 3, will “orbit” the inner green circle and the ratio between the circles is obviously 11 to 3, and this is exactly the ratio between the mean Earth and the Moon.

It was thought, by John Michell, that the model was well known in the megalithic since simple experiments in geometry, as above, delivers the relationship between a circle’s diameter and its circumference with very small whole numbers. My own work finds it is indeed prevalent within the design of later buildings, for example in domes, circular windows, and sacred pavements. If so, such buildings became sacred spaces as models of the Earth and moon. Many examples are explored and interpreted in my Sacred Geometry: Language of the Angels.

Mangroves and the Moon’s Maximum

photo: Ariefrahman for Wikipedia /_

Tides on earth are due to the sun and moon. During the year, the Sun reaches extreme solstice points and during the lunar month, the phases indicate where the sun is relative to the sun: their configuration relative to one another, leading to stronger or weaker tides.

The tides therefore vary but when the lunar orbit is in phase with the solar ecliptic path, the moon rises above and below that path and the moon becomes more extremely north and south than the solstice sun ever can be. Within a single year, the sun is at winter solstice in midwinter, and summer solstice in midsummer. But the moon takes 18.618 years to reach its maximum standstill, further south and north than the solstice sun.

Ancient cultures were aware of this cycle and sometimes thought to place monuments or burial places on an alignment with maximum moonrise or moonset, occurring north and south of east on the eastern or western horizon.

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Walking on the Moon

There are plans to walk again on the moon (above is a NASA visualization), but there is a sense in which the surface of the moon belongs to the surface of the earth, since the earth’s circumference is 4 times the mean diameter of the earth, minus the moon’s circumference.

The Earth and Moon were formed out of an early collision which left the two bodies in an unusual relationship to one another, in more ways than one. Here we discuss the diameter (and circumference) of each body as a sphere as being in the ratio 11 to 3. The diameter of the Moon is 2160 miles so that the common unit is 720 miles (the harmonic constant) and the diameter of the spherical mean earth would be 7920 miles.

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Twelve: determining Time and Space on the Earth

ABOVE: South rose window in Angers Cathedral of Saint Maurice. Stained glass by Andre Robin created after the fire of 1451. At centre, Christ of the Apocalypse, in glory (Revelation 21:5). At bottom, 12 radial windows showing 12 elders, crowned and playing musical instruments, rejoicing, indicating the remade world (the heavenly Jerusalem). At top, circular ends of 12 radial windows showing the 12 signs of the Zodiac, indicating the incarnation of Christ as a man on earth under the stars. Sequence from left to right has last 2 signs before first, i.e. Aquarius/Water-bearer (grey), Pisces/Fish (grey), Aries/Ram, Taurus/Bull (yellow), Gemini/Twins, Cancer/Crab (red), Leo/Lion (yellow), Virgo/Virgin, Libra/Scales, Scorpio/Scorpion, Sagittarius/Archer, Capricorn/He-goat (blue background)
photo: Chiswick Chap for Wikipedia Foundation.

The Moon was the means by which a 12-fold harmony became established on the Earth. This harmonization occurred through the lengthening of the lunar month until 12 months fitted, in a special way, within the solar year. The excess of the solar year over the lunar year of 12 months became 7/19 lunar months, causing seven extra whole months over 19 years. This 19-year (235 month) Metonic period was well-known to the ancient world, and it leads to the remarkably short cycle for the pattern of similar eclipses, we call the Saros period, which repeat every 18 years (235 minus 12 months = 223 months). And eclipses are highly visible because the disk of the Moon has come to be the same angular size as the disk of the Sun, causing total solar eclipses.

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St Pierre 1: Jupiter and the Moon

The egg-shaped stone circles of the megalithic, in Brittany by c. 4000 BC and in Britain by 2500 BC, seem to express two different astronomical time lengths, beside each other as (a) a circumference and then (b) a longer, egg-shaped extension of that circle. It was Alexander Thom who analysed stone circles in the 20th century as a hobby, surveying most of the surviving stone circles in Britain and finding geometrical patterns within irregular circles. He speculated the egg-shaped and flattened circles were manipulating pi so as to equal three (not 3.1416) between an initial radius and subsequent perimeter, so making them commensurate in integer units. For example, the irregular circle would have perimeter 12 and a radius of 4 (a flattened circle).

However, when the forming circle and perimeter are compared, these can compare the two lengths of a right-triangle while adding a recurring nature: where the end is a new beginning. Each cycle is a new beginning because the whole geocentric sky is rotational and the planetary system orbital. The counting of time periods was more than symbolic since the two astronomical time periods became, by artifice, related to one another as two integer perimeters that is, commensurate to one another, as is seen at St Pierre (fig.3).

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God of Harmony Osiris in Egyptian Mice Tomb

Recently an “early Ptolomaic” tomb was discovered similar in themes to the famous Egyptian Books of the Dead (Middle Kingdom). Normally written on papyrus, they feature multiple tableau of Osiris judging the dead and other scenes. Osiris is a long lasting and perhaps supreme god whose cult was present throughout 3000 years of Dynastic history. I have previously interpreted his throne through drawings but, in the new tomb, he is painted on the walls at least twice and the design of his throne looks like layers of “eggs”. Below is one of the press pictures taken from the Guardian, and the headline is Mummified mice found in ‘beautiful, colourful’ Egyptian tomb.

Osiris could have been seen as a/the god of Harmony and below I explain why harmony may have been thought technically significant at the dawn of our earliest texts, then found in Sumeria 900 miles to the East. The reason I believe musical ratios were significant at the dawn of history because they had naturally emerged from measuring the lunar and solar year and comparing these with the time between loops of the outer planets Jupiter and Saturn.

Wallis Budge drawing in Osiris Judge of the Dead. We can see the lines but no detail and the bottom right is a vertical root 2 rectangle rather than a near square.
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