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Technically, a gomboc is a D1.00…001.

Any normal die could also land on an edge.

It’s infinitely unlikely to do so, a set of measure zero.

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).

Vertices aren't axes! They have the wrong dimensionality.

Let's instead call the balance things in question "balance things".