I need a dice with a strange number of faces (Eg. $7,9,11,13,14$) that is totally unbalanced (each side has a different area), but with the ratio of the largest and smallest face area not too big (say between $2$ and $3$). How should I approach this problem?
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1Start with a very regular one and perturbate the vertices. – Simon Marynissen Sep 04 '20 at 08:21
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You could make a prism - like a cylinder, but the cylinder's curved side is replaced by a sequence of flat sides – Empy2 Sep 04 '20 at 08:23
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Unless you double the number of faces (with the numbers on the faces also duplicated), it may be difficult to see which face is "up" when a particular face is down – Henry Sep 04 '20 at 23:59