3 ms·
12 x 2.54 cm. Exactly. More interesting, maybe, is the length of the Dynastic Egyptian cubit: pi/6 meters, 52.36cm. So, measure the Great Pyramid's King's Cha
by ncmncm 4y ago
12 x 2.54 cm. Exactly.
More interesting, maybe, is the length of the Dynastic Egyptian cubit: pi/6 meters, 52.36cm.
So, measure the Great Pyramid's King's Chamber: 10x10x20 cubits, exactly. Or, as exactly as the Egyptians could manage, somewhere between 3 and 4 significant digits. Very precise, for masonry.
That is thus 5.236x etc. meters. But 5.236 is also, by divine coincidence, 2phi² = 2(phi+1), and also, by even more blessed coincidence, 5pi/3, to five significant places, closer than the Egyptians could measure.
(Recall, phi = (sqrt(5)+1)/2 ~ 1.61803... pi ~ 3.14149265...)
So the King's Chamber, measured in meters, but only in meters, is both 2phi² meters and 5pi/3 meters wide. (Or 5tau/6, if you prefer.) And, of course, twice that long.
Some people are bold enough to suggest that when the meter's length was chosen, the guff about Earth's circumference was a shuck. By another divine coincidence, the Royal cubit of France was also 0.5236 m, equal to the Dynastic cubit, and the corresponding "span" (equal to 1/phi² cubits) was exactly 20 cm.
At the time the meter was defined, the French had not yet invaded Egypt. Could a masonic tradition preserve ancient measure through two millennia after the last dynasty?
Some people insist the diagonal, from one corner of the chamber to its opposite is special. But it is just 10sqrt(6) cubits, or 10.00+2sqrt(2) meters... to three places. Another coincidence.
Numerology is all fun and games today, but to the ancients it was all deadly serious business.
- adrianN 4y ago<insert ancient aliens guy> I feel like this might be slightly retconned to fit nicely. From what I've read the Egyptian cubit sticks actually varied in length by a couple of centimeters.
- ncmncm 4y agoMedieval cubits also varied. You do have to calibrate to the King's Chamber cubit, which seems defensible. But the numbers do check out: 2phi²/(5pi/3) = 1.000015 is pretty trippy, no matter how you slice it. Likewise 5sqrt(6)pi/3-2sqrt(2) = 9.997. There's no denying the ancients would be impressed with that sort of thing. Maybe even Newton, too. Of course, none of this proves the Egyptians knew about any of it. Probably the lesson for us is that numerical coincidences are way more common and less significant than we are inclined to think. [Also: pi ~ 3.14159265...]