The circle constant is the ratio of circumference to radius; in a Euclidean space the length of the circumference is identical to tau*radius. This makes for a natural unit of angular measure, the radian. Tau radians is a full turn, an identity function. Any shape rotated by tau radians brings it to its original orientation.
Many interesting patterns are symmetric after a half-tau radian rotation. This one is a black and white inverse after a half-turn about an axis through the center point:
Friday, March 14, 2014
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