Convex uniform 5-polytopes

Importance: Medium ✭✭
Subject: Geometry
Recomm. for undergrads: yes
Posted by: ACW
on: May 24th, 2012
Problem   Enumerate all convex uniform 5-polytopes.

A reasonably complete discussion, with a list of all known examples, is at Uniform_5-polytope. The known examples form two infinite classes and 105 additional examples. All the known examples but one are "Wythoffian", and any unknown examples must be non-Wythoffian. The proposer believes that a talented undergraduate could put this to rest.


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