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[WSRP26] Utilizing computational geometry and electrostatics to optimize the equiprobability of dice
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One item to be aware of is Unistable Polyhedra. The surface area on the projected sphere doesn’t matter much if a face happens to be unstable.
Also, the surface the object is tossed at matters … pitch, felt and glass can cause a die to roll differently. In experiments with 7-sided pentagonal prisms, put through thousands of rolls… a pentagonal prism could be made fair on one surface, but not be fair on another surface.
When I looked at the problem, I built up markov chains on how faces toppled to other faces based on toppling angles.
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