Semiregular polytope

Gosset's figures
3D honeycombs

Simple tetroctahedric check
Complex tetroctahedric check
4D polytopes

Tetroctahedric
Octicosahedric
Tetricosahedric

In geometry, by Thorold Gosset's definition a semiregular polytope is usually taken to be a polytope that is vertex-transitive and has all its facets being regular polytopes. E.L. Elte compiled a longer list in 1912 as The Semiregular Polytopes of the Hyperspaces which included a wider definition.

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