Category Archives: Geometry

Mexico 10 centavos 1936

Circle geometry II: 3, 6, 9

Twelve spokes, one wheel, navels three.
Who can comprehend this?
On it are placed together
three hundred and sixty like pegs.
They shake not in the least.

Dirghatamas, Rigveda 1.164.48 c. 1500–1200 B.C.

clock face showing relationships  between 3, 6, 9, 12I’m not clever in math. I can notice some basic relationships, though, and I can see that both the 12 hour clock and the 360° circle are divisible by 6’s (and of course, 3’s). On the clock face, the numbers 3, 6, 9, and 12 can be connected with lines to form diamond with a plus sign (+). The plus sign is also a visual representation of four 90° angles – the 360° of a circle or the four interior angles of a square.

12 Hanged ManLike the numbers on the clock and the degrees in a circle, the Persian calendar 360 day year is divisible by 6’s and 3’s and suggests that the degrees on a circle may be partly a graphical representation of a year. Similarly, our modern calendar is divided, like a clock, into twelve units (months).

Mexico 10 centavos 1936Aztec and Mayan calendars also take the form of a circle, and design elements from some of these ancient calendars have been used in modern currency.
Continue reading Circle geometry II: 3, 6, 9

squaring the circle

Circles I: π pie

“Well, I had a vision when I was twelve. And I saw a man on a flaming pie, and he said, ‘You are the Beatles with an A.’ And so we are.”
CBS News: Out of a flaming pie comes The Beatles

“We can conclude that although the ancient Egyptians could not precisely define the value of π, in practice they used it”.
– Verner, M. (2003). The Pyramids: Their Archaeology and History, p. 70.

The Sun as flaming π: irrational & transcendental

pi pieIn symbolic code, the Sun is represented by a dot, a hole, a disc, a ring, 360°. The Sun is Ra’s flaming Eye. The Sun is also represented by various types of food, including pizza and pie. “Pie” has multiple meanings, and one of those meanings is a play on π (Pi), the mathematical representation of the ratio of a circle’s circumference to its diameter.
pi
π is an irrational number and cannot be expressed by a common fraction, but a close approximation would be 22/7. π is expressed as a decimal which neither ends nor repeats itself. It is a transcendental number (Wikipedia).
Continue reading Circles I: π pie