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Abstract: The 600 cell S has exactly 10 5-colorings. From these colorings we canconstruct the space of colorings $BS$. This complex has 1344 colorings, andis isomorphic to the space of 5 by 5 Latin Squares. These simplices split into4 copies of a quotient of S by an involution, and two copies of a space made upof even Latin Squares.

Author: Steve Fisk


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