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Fair Dice

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Description: Includes a complete list of all possible Fair Dice, most of which are not cubes. Includes pictures.
This header plots the critical line of the .  A complete understanding wins Odds of a dimpled die, out of 10,000 tosses, using a Markov Chain model. This page contains a complete list of all possible Fair Dice.  First off, objects which are ISOHEDRAL are fair.  To be isohedral, each face must have the same relationship with all other faces, and each face must have the same relationship with the center of gravity.  Thus, each object has a Group structure (a Group Theory topic).  Using Group Theory and Euler's formula (Vertices + Faces - Edges = 2), it can be proven that the following list contains all possible isohedra.  An interactive version of this page is at the
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