Transitivity (InstanceTopic, 3)

From Higher Dimensions Database

Transitivity is a property applied to the hypercells of a polytope. A polytope is said to be n-transitive iff there is an automorphism on the polytope mapping any particular n-cell to any other n-cell in the polytope.

Usually, n-transitivity for 0 ≤ n ≤ 3 is referred to as vertex-, edge-, face- and cell-transitivity respectively. In addition, a polytope exhibiting n-transitivity is isogonal, isotoxal, isohedral, isochoric, isoteral, isopetal etc.