Another important class of polytopes are the chiral polytopes, which have full rotational symmetry, but no symmetry by reflection. There are many examples in ...

Jul 26, 2013 · Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K.

Nov 2, 2013 · Between an (i + 1)-face and an (i - 1)-face there are precisely two i-faces. Every edge (1-face) contains precisely two vertices (0-faces).

Abstract. Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K.

Apr 4, 2014 · In this paper we use GPR graphs (as defined in [14]) to build chiral polytopes of rank d + 1 with facets isomorphic to a given chiral polytope ...

Chiral polytopes are those abstract polytopes which have maximal symmetry by rotation, in contrast to the abstract regular polytopes which have maximal symmetry ...

A chiral polytope is a polytope with maximal rotational symmetry that does not admit any reflections. If P is a chiral extension of K , then all but the last ...

Chiral polytopes are those abstract polytopes which have maximal symmetry by rotation, in contrast to the abstract regular polytopes which have maximal symmetry ...

Abstract polytopes are combinatorial structures that mimic convex polytopes in several key ways. They also generalize. (non-degenerate) maps on surfaces and ...

A chiral polytope is a polytope with maximal rotational symmetry that does not admit any reflections. If P is a chiral extension of K, then all but the last ...