Alexander's Star
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Alexander's Star is a 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!×2^13 positions, or 7.2×1034.
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