Transitivity (InstanceTopic, 3)
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(New page: '''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 particu...)
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(New page: '''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 particu...)
Newer edit →
Revision as of 13:55, 5 December 2010
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.
