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cubefox
on June 26, 2025
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A new pyramid-like shape always lands the same sid...
A sphere is bad, it rolls away. The shape from the article would be better, but it is too hard to manufacture. And weighting is cheating anyway. The best option for a D1 is probably the gömböc, which is mentioned in the article.
shalmanese
on June 26, 2025
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Technically, a gomboc is a D1.00…001.
cubefox
on June 26, 2025
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Any normal die could also land on an edge.
layer8
on June 26, 2025
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root
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It’s infinitely unlikely to do so, a set of measure zero.
cubefox
on June 26, 2025
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Just as with the gömböc. Though the latter balances on only one unstable axis while a D6 die does so on 20 (12 edges and 8 vertices).
Y_Y
on June 26, 2025
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root
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Vertices aren't axes! They have the wrong dimensionality.
cubefox
on June 26, 2025
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root
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parent
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Let's instead call the balance things in question "balance things".
Y_Y
on June 26, 2025
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root
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https://en.wikipedia.org/wiki/Level_set
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