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anentropic

OTOH:

https://en.wikipedia.org/wiki/Roman_dodecahedron#/media/File...

it's interesting that one has no holes but varying sized corner knobs instead, and 20 faces instead of 12

the objects seem related, but the purpose of the latter can't have anything to do with candles presumably

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20 faces and 12 verts is an icosahedron.

Both have 30 edges.

Geometry magic?

The icosahedron and dodecahedron are duals of one another: each vertex of one corresponds to a face of the other and vice versa. All convex polyhedra satisfy the property that V + F = E + 2, and since the dual polyhedron conserves the quantity V + F, consequently, dual polyhedra have the same number of edges.

Hmm - roll me a History check.

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