In the study of abstract polytopes, a chiral polytope is a polytope that is as symmetric as possible without being mirror-symmetric, formalized in terms of the action of the symmetry group of the polytope on its flags. == Definition == The technical definition of a chiral polytope is a polytope that has exactly two orbits of flags under its group of symmetries, such that adjacent flags always lie in different orbits.
In the study of abstract polytopes, a chiral polytope is a polytope that is as symmetric as possible without being mirror-symmetric, formalized in terms of the action of the symmetry group of the polytope on its flags. == Definition == The technical definition of a chiral polytope is a polytope that has exactly two orbits of flags under its group of symmetries, such that adjacent flags always lie in different orbits.
Source: Wikipedia "Chiral polytope" · CC BY-SA 4.0
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