Returning to the subject of Athanasio Angelopoulos’ work once again, there are some things that catch my eye.
I have a certain attraction to circular architecture, because I find it rewarding to discover how often and how well the proportions of ancient circular architecture seem to be integrated with the basic mathematics of circles.
Often enough, they may be resplendent of Stonehenge in their own way, and Stonehenge continues to seem like “the mother of all ancient circles” in the same way that the Great Pyramid continues to seem like “the mother of all pyramids” – not necessarily the most ancient or the largest in their class, but showing signs of being particularly well thought out. The remarkable mathematics of Stonehenge certainly seem to warrant the unusual and elaborate display.
http://athang1504.blogspot.com/2016/08/ancient-eleusis.html
Interestingly, in just the materials on this single page for the Kallichoron Frear and the Telesterion, I may have already noted a number of examples of what appears to be Angelopoulos’ unit in action, although viewed through my own perspective.
Also, there are possible geodetic references that leap forth from both examples. For the Kallichoron Frear, this is 1.53 m diameter at the summit. 1.53 m = 5.019685039. This is so close to 1/2 half of the “equatorial 2 Pi root” that in practice even the raw values give the earth’s equatorial circumference as accurately as (5.019685039 x 2) x ((2 Pi)^3) = 24902.67891 / 10.
The perimeter would then be: diameter (refined) 5.019386413 x Pi = perimeter 15.76980564 = (360^2) / 10^n Remens or 15552 / 10^n Greek Feet of 1.013944669 ft. Once again, that is how I discovered a Remen of 1.216733603 ft is by converting an idealized Greek Foot to inches: 1.013944669 x 12 = 12.16733603 inches.
We may also wish to note the area here. radius squared (5.019386413 / 2)^2 x Pi = area = 19.78750980 = 24865.71816 / 2 Pi / 2, or approximately 1/4 of the earth’s polar radius at the customary feet:miles ratio. I have yet to embrace 24865.71816 as a valid representation of approximately 24860 mile polar circumference, but that doesn’t mean the ancient did. They would have been “well within right” to consider that an adequate approximation.
In essence, that would have been quite a clever combination of equatorial and polar measures into a single circle, and the best that may have been possible.
For the two components of the upper tier, their ratio is 1.53 / .908 = 1.685022026, which may mean 1.676727943 and may be only one of a possible set of metrological references found in the ratio between parts of the Kallichoron Frear. That may actually be rather remarkable considering that .908 m already equals 2.979002625 = 5 / 1.678414097. So they are perhaps juggling two different forms of an ancient unit to create a complex geodetic display here?
3.566 / 2.938 = 1.213750851, getting very close to the Remen or Greek Feet as ratio – the same sort of thing we see “all the time” in ancient Egypt.
2.938 / 1.53 = 1.920261438; 18/10 Hashimi Cubits = 1.921388686, as is suggested to occur in the King’s chamber of the Great Pyramid.
The maximum diameter of 3.994 m by the way is in feet 13.10367454, with a circumference of diameter 13.10367454 x Pi = circumference 41.16640767, very suggestive of the Full Moon Cycle of 411.78443029 days. Note that we can conjugate an potentially valid approximation from nothing but 360 and the Mayan number 317.6266261:
317.6266261 x 360 x 360 = 411.6441075 x 10^n. Would that be one of the reasons for the fondness for 317.6266261 that the Maya mathematicians seemed to have?
2.938 / .908 = 3.235682819 – will this ratio be able to fulfill the promise implied by its resemblance to the Apsidal Precession Cycle of 3233 days?
That’s the kind of questions we need to ask. Data is still to precious and rare for us not to try to go over it with a fine-toothed comb.
–Luke Piwalker
Luke Piwalker 