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Fair Dice (TESTED)
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This is a fair dice. NOT as fair as a casino dice, but 3x fairer (is that a word?) than the real store-bought dice I tested it against. Now to explain the math and testing. Dice have 6 sides. This means that in the perfect world, each side would get rolled 16.667% of the time. Casino dice, which are very accurate, are off by an average of 0.5% (standard deviation). Store-bought dice aim to be off by 1-3% standard deviation. My dice (when I tested it on the published profile) was off by 0.96%. Pretty cool, right? I'll explain my methods now. The pips on a dice take out a little bit of material from the dice. A standard 16mm dice has 4096 mm^3 of material, and the pips on my dice take out 187 mm^3. That sounds like a lot, but it's only 4%. After that, the center of mass isn't quite in the center. Most are off by about an average of 0.05mm, which is what I measured mine at. The real dice I tested weighed about 6.1g, while mine weighed 4.8. That doesn't matter as much, dice
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