Alexander's Star

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Great Dodecahedron
Great Dodecahedron

Alexander's Star is a mechanical puzzle invented by Adam Alexander in 1982. It is a great dodecahedron with 30 moving pieces in the style of a magic polyhedron, (the most famous of which is the Rubik's Cube) which rotate in star-shaped groups of five around the outermost vertices. The challenge of the puzzle is to get it to a state in which each star is surrounded by five faces of the same color, and opposite stars are surrounded by the same color; this is equivalent to solving just the edges of a six-color Megaminx.

There are 29!×213 positions, or 72,431,714,252,715,638,411,621,302,272,000,000 or 7.2×1034.

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