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01-23-2009, 04:41 AM

This pythagorean snail was originally posted on a different thread (Scottish Ground Crew), but it may be useful here too.
http://www.projectavalon.net/forum/s...ad.php?p=94709

Fibonacci spiral

Draw two small squares on top of each other. Add a sequence of growing squares counter clockwise. Draw quarter circles inside the squares (black).

They form the Fibonacci Spiral. The Fibonacci spiral is called after its numbers. If you take the length of the square sides in the order, you get the sequence 1,1,2,3,5,8,13,21, ... These are the Fibonacci numbers, which you can find by the recursive formula a(n)=a(n-1)+a(n-2) with [a(1)=1, a(2)=1, n>2].
http://www.mathematische-basteleien....nacci%20Spiral

LOVE & PEACE

01-23-2009, 04:41 AM	#25
no caste Guest Posts: n/a	Re: Sacred geometry This pythagorean snail was originally posted on a different thread (Scottish Ground Crew), but it may be useful here too. http://www.projectavalon.net/forum/s...ad.php?p=94709 Fibonacci spiral Draw two small squares on top of each other. Add a sequence of growing squares counter clockwise. Draw quarter circles inside the squares (black). They form the Fibonacci Spiral. The Fibonacci spiral is called after its numbers. If you take the length of the square sides in the order, you get the sequence 1,1,2,3,5,8,13,21, ... These are the Fibonacci numbers, which you can find by the recursive formula a(n)=a(n-1)+a(n-2) with [a(1)=1, a(2)=1, n>2]. http://www.mathematische-basteleien....nacci%20Spiral LOVE & PEACE Last edited by no caste; 01-23-2009 at 04:44 AM.