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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: convex polyhedra with all faces regular
Replies: 7   Last Post: Dec 23, 2012 6:20 AM

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Phil Carmody

Posts: 2,173
Registered: 12/7/04
Re: convex polyhedra with all faces regular
Posted: Dec 9, 2012 10:07 AM
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quasi <quasi@null.set> writes:
> Prove or disprove:
>
> For each positive integer n, there are only finitely many
> convex polyhedra, up to similarity, such that all faces are
> regular polygons (not necessarily of the same type) with at
> most n edges.

Are we to assume Euclidean geometry? I suspect with a closed
geometry, the answer would be very different.

Then again, you'd want to exclude degenerate polyhedra even
in the Euclidean case.

Phil
--
I'm not saying that google groups censors my posts, but there's a strong link
between me saying "google groups sucks" in articles, and them disappearing.

Oh - I guess I might be saying that google groups censors my posts.

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