Author: Richard Heath

Double Square and the Golden Rectangle

above: Dan Palmateer wrote of this, “it just hit me that the conjunction of the circle to the golden rectangle existed.”

Here we will continue in the mode of a lesson in Geometry where what is grasped intuitively has to have reason for it to be true. It occurred to me that the square in the top hemisphere is the twin of a square in the lower hemisphere, hence this has a relationship to the double square rectangle. So one can (1) Make a Double Square and then (2) Find the center and (3) a radius can then draw the out-circle of a double square (see diagram below).

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Hounds & Jackals as Venus Counter

The Petrie Museum has a game called Hounds & Jackals or 58 holes, from Egypt’s Middle Kingdom and widely found elsewhere, in the ancient world. Two players had a set of sharp ended sticks with animal heads, which sat in each of the 29 + 29 = 58 holes. The top hole is larger (as with the Cretan 34-hole circular kernos, at Malia in Crete).

Cretan 34-hole Kernos

One can see the possibilities in such artifacts stored objective numerical information while being kept, within the cultural life of the people, through having a valuable everyday purpose (rather like the 52 playing cards do). This was exactly how Gurdjieff saw it that, he proposed a meeting of wise men in Babylon, it was seen that ancient knowledge would be forgotten were it not that art, games, buildings, dances, music and so on were designed to incorporate the knowledge until such time that human would be able, once again, to understand what they meant. In his book Beelzebub’s Tales he termed such artifacts as being logominisms, loosely translating to “meaning objects”.

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Musing Mystical Review: Language of the Angels

I came across a very good review of my book Sacred Geometry: Language of the Angels in which the reviewer found the experience of reading over a month. She also told me how I might improve my handling of numbers. Many thanks for that since I will soon be entering the production phase of a further book out late 23, early 24.

Reading this book has made me grapple with concepts such as the influence of planets on human events, the true nature of the universe, and the magnificent, though forgotten, geometry behind sacred sites. I will admit it took me well over a month to make my way through this book, and oftentimes I had to reread a section multiple times, wondering if I was truly comprehending it. However, it has been a worthwhile pursuit that I’m happy to have made my way through.

Alanna Kali is an astrologer, numerologist, and pioneer spirit that loves to explore life through the lens of depth psychology.
Sacred Geometry, by Richard Heath

Alanna also reviewed the previous book here,

Overall, The Harmonic Origins of the World is an absolutely fascinating book. It is complex, but the daunting amount of information serves as a call to rethink the evolution of consciousness. I recommend this book for anyone looking to expand on their knowledge on how planets affect the world, how math tells its own story of creation, or for anyone who wants to consider the ancient understanding of consciousness viewed through time. The depth of information provided by Heath will be sure to satisfy the curious mind.

SpiralNature.com

The Planetary Environment

In our planetary system, simple small-number ratios appear to have been required to create a special type of planet able to host Life. At some stage this would have required an adjustment of outer planetary orbits to suit the future lunar resonator, implying non-human intelligence influenced the orbits, to be numerically related from the earth, rather than relative to the sun.

The only available means for the megalithic astronomers to have discovered this, and understand it as an act of Will rather than as an accident, was through counting days or months, so to capture the synodic time periods numerically as lengths as a number of units of length and compare them as to their difference. Such numbers, differences and ratios, are more than convenient for counting such phenomena: numbers also have a formal nature, since the properties of different whole numbers, with each other, proceeds from whether a given number shares common numerical factors with other numbers.[1] These relations of common factors between numbers gives the number field its inner structure and this must be part of its defining of the framework conditions of Time and Space: the role and interrelatedness of numbers in time and space being a universe-wide invariant.

I believe this led to the sort of cosmology presented by Gurdjieff in the 20th Century, a cosmology of Will rather than of Being. An Absolute Will, originating from outside the existing world, must have initiated a cosmos where numbers provided a relatedness between specific vector intervals, to create significant patterns in which numbers are a formal cause for the design of planetary systems around different stars, this making number a unique defining feature within star systems[2] which are structured by the interactive gravitational fields of planetary bodies orbiting a sun and of planetary moons.

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Story of Three Similar Triangles

first published on 24 May 2012,

Figure 1 Robin Heath’s original set of three right angled triangles that exploited the 3:2 points to make intermediate hypotenuses so as to achieve numerically accurate time lengths in units of lunar or solar months and lunar orbits.

Interpreting Lochmariaquer in 2012, an early discovery was of a near-Pythagorean triangle with sides 18, 19 and 6. This year (2018) I found that triangle as between the start of the Erdevan Alignments near Carnac. But how did our work on cosmic N:N+1 triangles get started?

Robin Heath’s earliest work, A Key to Stonehenge (1993) placed his Lunation Triangle within a sequence of three right-angled triangles which could easily be constructed using one megalithic yard per lunar month. These would then have been useful in generating some key lengths proportional to the lunar year:  

  • the number of lunar months in the solar year,
  • the number of lunar orbits in the solar year and 
  • the length of the eclipse year in 30-day months. 

all in lunar months. These triangles are to be constructed using the number series 11, 12, 13, 14 so as to form N:N+1 triangles (see figure 1).

n.b. In the 1990s the primary geometry used to explore megalithic astronomy was N:N+1 triangles, where N could be non-integer, since the lunation triangle was just such whilst easily set out using the 12:13:5 Pythagorean triangle and forming the intermediate hypotenuse to the 3 point of the 5 side. In the 11:12 and 13:14 triangles, the short side is not equal to 5.

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On the Harmonic Origins of the World

Does the solar system function as a musical instrument giving rise to intelligent life, civilization and culture on our planet? This 2018 article in New Dawn introduced readers to the lost science of the megalithic – how our ancestors discovered the special ratios and musical harmony in the sky which gave birth to religion and cosmology. The musical harmonies were the subject of my book released that year, called The Harmonic Origins of the World.

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.

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