All regular abstract polyhedra with automorphism groups of order 2000 or less.

The Schläfli symbol is a recursive description of regular polytopes or maniplexes. A polytope with the symbol ${p,q,r,...,y,z}$ has $z$ ${p,q,r,...,y}$-facets.

A list of additional relators in the finite representation of the polytope's automorphism group, expressed in terms of the standard flag-exchanging generators.

The dimension of the greatest face of the polytope.

The size of the polytope's automorphism group.

A vector representing the number of faces of each rank (starting with $0$).

Does the object satisfy the conditions for an abstract polytope.

Regular Polyhedra