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Re: Five Sided Dice
Posted:
Sep 1, 2007 12:04 PM


Gib Bogle wrote: > Can you imagine a symmetrical 5sided 3D shape? I can't.
Not with five planar faces, but you needn't limit yourself to those. Take, for example, five copies of the "rounded lozenge" defined in the plane by
5/6  sqrt(1x^2) < y < sqrt(1x^2)  5/6
and make them the curved faces of a bananashaped die. I'd even trust the sixsided version of this more than I'd trust a regular die  I've never understood how to spin the usual design in a way that doesn't appear to favor some faces over others, but with this design you can obviously just spin it around the axis of nfold symmetry.
You could also use a gamer's d10 with the faces labeled with two copies of the digits 1 through 5, or an icosahedron labeled with four copies. A dreidel would also work  that strikes me as the fairest design of them all.
 Ben



