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Re: Ariadne's thread
Posted:
Nov 21, 2011 2:55 AM
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A period of 260 days was a Tzolkin. 3 Tzolkin or
780 days are a rounded Mars year. Add one twentieth
and you get 819 days, a strange period in the Maya
calendar. It may have served geometrical and
architectonical purposes. Let a rectangle measure
780 by 819 units and the diagonal measures exactly
1131 units, while 1131 lunations are 33399.096...
or practically 33399 days.
A period of 360 days was a Tun. 360 lunations are
10631,012... or practically 10631 days. If the diameter
of a circle measures 360 units, the circumference
measures practically 1131 units, implicit value of pi
377/120.
4/1 (plus 3/1) 7/2 10/3 13/4 16/5 19/6 22/7 25/8
3/1 (plus 22/7) 25/8 47/15 69/22 ... 377/120
15 and 17 lunations counted in the 30 29 30 29 30 29
30 ... mode yield 443 and 502 lunations respectively.
17 15 17 15 17 lunations yield 502 945 1447 1890
2392 days for 17 32 49 64 81 lunations.
502/17 (plus 1447/49) ... 10631/360 ... 25101/850
360 lunations are practically 10631 days. Add 502 days
for 17 more lunations and you get 11133 days for 377
lunations. Multiply these numbers by a factor of 3 and
you get 33399 days for 1131 lunations.
The Maya were infatuated with time. I could imagine
a terrace measuring 780 by 819 units, diagonal 1131
units representing as many lunations, or the Sun
Pyramid at Teohituacan as house of time or 'bundle
of time':
units 27.1 centimeters
ideal base 819 (!) by 826 units
826 Tzolkin are 588 years
periphery base 3290 units
3290 lunations are 266 years
ideal height 235 units
235 lunations are 19 years
Use a grid of rectangles to measure out the base,
13 x 13 rectangles 60 by 63, diagonal 87, yielding
the rectangle 780 by 819, diagonal 1131, and 13
rectangles 46 by 63, diagonal 78.006... or practically
78, yielding the rectangle 46 by 819, together the
base 819 by 826, periphery 3290. If you proceed
carefully, always checking on the diagonals, you
don't have to measures out the whole area, a 'frame'
of rectangles will do, allowing to integrate a naturally
grown hill that will contribute to the pyramid's volume
and safe a lot of work.
Next time: Venus and Mars
Milo, periods of 135 and 270 lunations make sense
as one third and two thirds of the 405-lunation period,
practically 11960 days (5 x 81 lunations of 2392 days
as explained above in the line of 17 32 49 64 81 l).
If I came across a calendar of 135 or 270 lunations
I'd try to reformulate it on the basis of 405 lunations.
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