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<blockquote data-quote="woodelf" data-source="post: 1654717" data-attributes="member: 10201">There's fair, and then there's fair. Yes, it seems plausible that, given a pseudo-random initial toss, such a design could have equal chance of landing on each face. But it also might not be possible to find such a happy medium. And, it'll never behave like a truly fair die. It'll have to use a difference in face surface area to compensate for the difference in inter-face angle and the difference in distance from the center of mass, but in some circumstances some of those factors matter more than others--such as once it has hit the table and is rolling. If you really want a die that behaves fairly and has a number of faces otherwise not achievable, make a faceted log that's long enough that it can't land on the ends (and/or round the ends).Now, that's just not fair. You're gonna have to elucidate on the unusual ones--at least describe their shape and, if possible, where i can buy one.</blockquote>

[QUOTE="woodelf, post: 1654717, member: 10201"] There's fair, and then there's fair. Yes, it seems plausible that, given a pseudo-random initial toss, such a design could have equal chance of landing on each face. But it also might [i]not[/i] be possible to find such a happy medium. And, it'll never behave like a truly fair die. It'll have to use a difference in face surface area to compensate for the difference in inter-face angle and the difference in distance from the center of mass, but in some circumstances some of those factors matter more than others--such as once it has hit the table and is rolling. If you really want a die that behaves fairly and has a number of faces otherwise not achievable, make a faceted log that's long enough that it can't land on the ends (and/or round the ends). Now, that's just not fair. You're gonna have to elucidate on the unusual ones--at least describe their shape and, if possible, where i can buy one. [/QUOTE]

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