Monday, December 25, 2017

[qavxzltk] Ranking Archimedean solids

Rank the Archimedean solids in order of prettiness.  Of course this is subjective.

Is it quasi-regular?  Edge-transitivity gives it a nice extra symmetry.
Is it chiral?
What is the discrepancy in area between its largest face and smallest face?
Consider its dual polyhedron.  What is its most acute angle?

A ranking on the Archimedean solids induces a ranking on the Catalan solids.

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