Thingiverse
Fairer Dice
von SnickerdoodleFP
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Have you ever been suspicious that the pips on your D6 have an effect on the fairness of your die, however tiny it is?
Worry no longer with the fairer die! The sum of all subtracted volume of this D6 is the same across all sides. This means that the volume of the pip for the 1 side is the same volume as the sum of all pip volumes on the 6 side. This ensures that the probability of the dice landing on any particular size isn't affected at all by the pips used to identify each side, as they are all equal in subtracted material.
Meshlab test results:
Control die: Center of Mass is 0.201298 0.121025 0.040078
Fairer die: Center of Mass is -0.001246 0.002691 0.000379
I've provided two versions. One die has a chamfer on all 12 edges, and the other has non chamfered edges.
Worry no longer with the fairer die! The sum of all subtracted volume of this D6 is the same across all sides. This means that the volume of the pip for the 1 side is the same volume as the sum of all pip volumes on the 6 side. This ensures that the probability of the dice landing on any particular size isn't affected at all by the pips used to identify each side, as they are all equal in subtracted material.
Meshlab test results:
Control die: Center of Mass is 0.201298 0.121025 0.040078
Fairer die: Center of Mass is -0.001246 0.002691 0.000379
I've provided two versions. One die has a chamfer on all 12 edges, and the other has non chamfered edges.
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