# A digon is one of the regular polygons_

A

Likewise a

*digon*is one of the regular polygons that you might not have encountered. It has two edges and two vertices. In Euclidean space it is degenerate (it has zero area) but in spherical space it makes perfect sense - if the vertices are antipodal.Likewise a

*dihedron*is (sort of) the sixth platonic solid. It is a regular polyhedron with just two faces (with any number of sides). In Euclidean space it is degenerate (has zero volume) but makes sense in a three-dimensional spherical space.### Digon - Wikipedia, the free encyclopedia

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weren'tgreat circles (vertices non antipodal), would that be a digon? Presumably not, but whatwouldit be?think: Those sides wouldn't be straight lines - only great circles are straight lines in a spherical space.if and only ifit's composed of "shortest distance" edges. I was wondering what was the difference between a digon defined that way, and any other way. Maybe it's because (he says, thinking about it a bit harder) because the wedge I originally definedisn'tdegenerate in Euclidean space? It's the degeneracy that defines the digon? (How onomatopoeic...)