Happy pi/archetype/ankh day!

[Poffo]

Don't mean to burst your pi pie but they're actually the same in terms of approximation because 22/7 is 3.142857... so it's only good to two decimal places since pi is 3.14159...

Thank you Poffo, for your interesting post. Lots to think about. At the risk of quibbling, I will point out that 3.142857 is closer to 3.14159 than is 3.140000. Not by a lot, I'll grant you, but 22/7 is a slightly better approximation.

Yeah, you're right, but just barely! I'll be eating humble pie for dessert I always enjoy a good quibble

I agree. It's fascinating and intriguing. Thank you for the hexagon graphic. I hadn't realized that a hexagon contains seven circles.

You're welcome Look at any hexagonal lattice (beehive, tiling, clothing pattern,...) and you'll see this 6-around-1 quality stand out. I think it's a prime example of "beauty" in simple math.

Also of note is the fact that the hexagon in 2 dimensions represents what would be a cube in 3d, so what is 7 circles as the 2d hexagon is actually 8 spheres as a cube; 7 plus the octave. Number and archetype are tightly weaved.

/:idea: