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Creating fair dice from random objects


Statistically, “the real behavior of a rolling object is largely a function of its geometry.”…

And they are "fair" dice: Experiments with 3D-printed versions produced results that closely matched predicted random outcomes, according to a forthcoming paper currently in press at the journal ACM Transactions on Graphics. Such shapes "are of scientific interest because they model so many of the phenomena we encounter in our daily lives: anything from the way your dishes roll around on the floor when you drop them, to how the gears in your watch push on each other, to how a satellite tumbles around under the pull of gravity," co-author Keenan Crane of Carnegie-Mellon University told Ars. Oklahoma State University mathematician Henry Segerman told New Scientist that the method isn't "necessarily a silver-bullet solution to designing weird dice, because it ignores friction, bouncing, and other real-world momentum effects.

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