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Topic: Five Sided Dice
Replies: 7   Last Post: Sep 1, 2007 12:04 PM

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Ben Rudiak-Gould

Posts: 210
Registered: 2/2/05
Re: Five Sided Dice
Posted: Sep 1, 2007 12:04 PM
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Gib Bogle wrote:
> Can you imagine a symmetrical 5-sided 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(1-x^2) < y < sqrt(1-x^2) - 5/6

and make them the curved faces of a banana-shaped die. I'd even trust the
six-sided 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 n-fold 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

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