Cell-transitive

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In geometry, a polytope is cell-transitive when all its cells are the same. More specifically, all cells must be not merely congruent but must be transitive, i.e. must lie within the same symmetry orbit.

All regular polychora and honeycombs are cell-transitive, as well as the self-dual bitruncated uniform polychoron and uniform honeycombs. In addition, all duals to the uniform polychora and honeycombs are cell-transitive.

[edit] See also

• Vertex-transitive
• Edge-transitive
• Face-transitive