Add to ORKGGiven a chiral d-polytope K with regular facets, we describe a construc-tion for a chiral (d + 1)-polytope P with facets isomorphic to K. Further-more, P is finite whenever K is finite. We provide explicit examples of chiral 4-polytopes constructed in this way from chiral toroidal maps.
In this paper we construct an in nite family of hypertopes of rank four having the complete graph K4...
We investigate the possibility of forming achiral knottings of polyhedral (3-connected) graphs whose...
AbstractWe prove that self-dual chiral polytopes of odd rank possess a polarity, that is, an involut...
AbstractIn this paper we describe a construction for chiral polytopes with preassigned regular facet...
There are two main thrusts in the theory of regular and chiral polytopes: the abstract, purely combi...
Chiral polyhedra in ordinary euclidean space E3 are nearly regular polyhedra; their geometric symmet...
AbstractIn a previous paper we constructed a finite regular (abstract) 4-polytope of type {3,3,p} fo...
AbstractAn abstract polytope is chiral if its automorphism group has two orbits on the flags, such t...
Pisanski An abstract polytope of rank n is said to be chiral if its automorphism group has two orbit...
An abstract polytope of rank n is said to be chiral if its automorphism group has precisely two orbi...
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
AbstractWe say that a (d+1)-polytope P is an extension of a polytope K if the facets or the vertex f...
The rank 3 concept of a hypermap has recently been generalized to a higher rank structure in which h...
This paper presents the current state of the theory of abstract chiral polytopes together with 39 op...
We give conditions for oriented labeled graphs that must be satisfied in order that such are permut...
In this paper we construct an in nite family of hypertopes of rank four having the complete graph K4...
We investigate the possibility of forming achiral knottings of polyhedral (3-connected) graphs whose...
AbstractWe prove that self-dual chiral polytopes of odd rank possess a polarity, that is, an involut...
AbstractIn this paper we describe a construction for chiral polytopes with preassigned regular facet...
There are two main thrusts in the theory of regular and chiral polytopes: the abstract, purely combi...
Chiral polyhedra in ordinary euclidean space E3 are nearly regular polyhedra; their geometric symmet...
AbstractIn a previous paper we constructed a finite regular (abstract) 4-polytope of type {3,3,p} fo...
AbstractAn abstract polytope is chiral if its automorphism group has two orbits on the flags, such t...
Pisanski An abstract polytope of rank n is said to be chiral if its automorphism group has two orbit...
An abstract polytope of rank n is said to be chiral if its automorphism group has precisely two orbi...
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
AbstractWe say that a (d+1)-polytope P is an extension of a polytope K if the facets or the vertex f...
The rank 3 concept of a hypermap has recently been generalized to a higher rank structure in which h...
This paper presents the current state of the theory of abstract chiral polytopes together with 39 op...
We give conditions for oriented labeled graphs that must be satisfied in order that such are permut...
In this paper we construct an in nite family of hypertopes of rank four having the complete graph K4...
We investigate the possibility of forming achiral knottings of polyhedral (3-connected) graphs whose...
AbstractWe prove that self-dual chiral polytopes of odd rank possess a polarity, that is, an involut...