| 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.