**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.

## Bibliography

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