Just after Summer Solstice, Michael Quu and I recorded a conversation for his “Learn Something New” podcast and this is available, as below.
The conversation was balanced between ancient and modern, numbers and metaphysics in a way that seems necessary to make sacred geometry more relevant to the modern situation while revealing what the ancients discovered in the world of astronomical time.
above: Front side of the main complex by Kheng Vungvuthy for Wikipedia
In her book on Angkor Wat, the Cambodian Hindu-style temple complex, Eleanor Mannikka found an architectural unit in use, of 10/7 feet, a cubit of 20/21 feet (itself an outlier of the Roman module of 24/25 feet, at 125/126 of the 0.96 root Roman foot).
She began to find counted lengths of this unit, as symbols of the astronomical periods (such as 27 29 33) and of the great Yuga time periods proposed within Vedic mythology. Hence Mannikka’s title of Angkor Wat: Time, Space, and Kingship (1996). Whilst the temple was built by the Khymer’s greatest king, their foundation myth indicates the kingly line was adopted by a matriarchal goddess tradition.
Modern mathematical science deals in precise measurements accurate to many decimal places. Simple integers rarely appear. the trend has recently been toward reforming our units of measure to get away from specific objects of reference and base them on universal physical properties. in ancient times people tried much the same thing, but, not having an arithmetical system, they used whole numbers of the same length (the inch) to measure astronomical time (the day). then, using geometry, they created their first objective measure, a megalithic yard, which expressed the difference between the solar and lunar year.
Their idea of sticking to whole numbers remains part of our number theory and, as Leopold Kronecker famously said, “God created the natural numbers, all else is the work of man.” The natural numbers or integers carry with them a sense of unity and design as to how they interact with one another. As symbols these number relationships affect the physical world and this suggests they provided a fundamental creative fabric for the universe. the constructions made by megalithic people present such a view. The monuments could only reflect a “heavenly pattern” (“as above, so below”) because the fabric of abstract whole number relationships appears to have been employed in a later weaving of planetary time cycles, which were then seen as the work of some god or gods (the demiurge) who surrounded the earth with numerical time ratios.
“Heath has done a superb job of collating his own work on the subject of megaliths with the objective views of many other researchers in the field. I therefore do not merely recommend reading this book but can state unequivocally it is a must read.” –John Neal, British metrologist and researcher and author of Measuring the Megaliths and The Structure of Metrology
“In Sacred Number and the Lords of Time we have an important explanation of how megalithic science was developed. This book is a long-overdue wakeup call to a modern culture that has abandoned this fully developed and astonishingly rich prehistoric model of the physical world. The truth is now out.” –Robin Heath, coauthor of The Lost Science of Measuring the Earth and author of Sun, Moon and Earth
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).
In a previous article, the 7,500 foot-long Erdevan alignments were seen to have been a long count of the Saros period of 19 eclipse years versus the distance to Mane Groh dolmen of 19 solar years, this probably conceptualized as an 18-19-6 near-Pythagorean triangle, whose inner angle is the bearing from east of Mané Groh. However, the path directly east caused the actual alignments, counting the Saros, to veer south to miss the hill of Mané Bras.
It has been remarked that the form of the northern alignments of Edeven were similar
to those starting at Le Menec’s egg-shaped stone circle 4.25 miles away, at a
bearing 45 degrees southeast. Whilst huge gaps have been caused in those of
Edeven by agriculture, the iconic Le Menec alignments seem to have fared better
than the alignments of Kermario, Kerlescan and Petit Menec which follow it
east, these being known as the Carnac Alignments above the town of that name.
One similarity between alignments is the idea of starting and terminating them with ancillary structures such as cromlechs (stone kerb monuments), such as the Le Menec egg and, despite road incursion, a3-4-5 structure similar to Crucuno, aligned to the midsummer sunset by a length 235 feet long. This is the number of lunar months in the 19 year Metonic period and is factored 5 times 47. Another similarity may be seen in Cambray’s 1805 drawing of these Kerzerho alignments, at the head of ten stone rows marching east (figure 1).