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).
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.
Sacred Number at the Heart of the World (an article in New Dawn 168)
After the ice receded, late
Stone Age people developed the farming crucial to the
development of cities in the Ancient Near East (ANE). On the Atlantic coast of Europe,
they also developed a now-unfamiliar science involving horizon astronomy. Megalithic
monuments were the tools they used for this, some still seen in the coastal regions
of present day Spain, France, Britain and Ireland. Megalithic astronomy was an exact
science and this conflicts with our main myth about our science: that ours is the
only true science, founded through many historical prerequisites such as arithmetic
and writing in the ancient near east (3000- 1200 BC) and theory-based reasoning
in Classical Greece (circa 400-250 BC), to name but two. Unbeknownst to us, the
first “historical period” in the near east was seeded by the exact sciences of
the megalithic, such as the accurate measurement of counted lengths of time, developed
by the prehistoric astronomers. With the megalithic methods came knowledge and discoveries,
and one discovery was of the harmonic ratios between the planets and the Moon.
The idea that the planets were gods had been
born before the ancient world, through the data of megalithic astronomy and this
megalithic idea was the basis for the religious ideas of the East. Megalithic
astronomy and Near Eastern religious and harmonic ideas have both been written
out of our history of civilization, leaving us with enigmatic monuments and ill-defined
religious mysteries. How this slighting of our real history happened is perhaps
less important than our discovering again the purpose of the megalithic
monuments and of those religious ideas that sprang from the discovery that the
planets were harmonically related to life on Earth.