Canonical Polyhedron

A Polyhedron is said to be canonical if all its Edges touch a Sphere and the centerof gravity of their contact points is the center of that Sphere. Each combinatorial type of (Genus zero) polyhedron contains just one canonical version. The Archimedean Solids andtheir Duals are all canonical.

References

Conway, J. H. ``Re: polyhedra database.'' Posting to geometry.forum newsgroup, Aug. 31, 1995.

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