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Six Decagons and Six Great Circles of a Sphere


	Rotate five of six overlapping horizontal circles or decagons around horizontal axes aligned at 72 degrees to each other. When the rotating angle is , where is the golden ratio, the intersections of the circles and the vertices of the decagons are at the vertices of an icosidodecahedron.


	Contributed by: Sándor Kabai

Icosidodecahedron (Wolfram MathWorld)

Decagon (Wolfram MathWorld)

"Six Decagons and Six Great Circles of a Sphere" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SixDecagonsAndSixGreatCirclesOfASphere/

Contributed by: Sándor Kabai

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