AbstractIn a previous paper we constructed a finite regular (abstract) 4-polytope of type {3,3,p} for each odd prime p. Here we extend this construction, allowing p to be any positive integer. Distinct polytopes of the same type can then arise, some of which may be chiral; but in each instance, facets and vertex figures are regular
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
AbstractA regular polytope P is called locally projective if its minimal sections which are not sphe...
AbstractThis paper addresses the problem of finding abstract regular polytopes with preassigned face...
AbstractIn a previous paper we constructed a finite regular (abstract) 4-polytope of type {3,3,p} fo...
AbstractThis paper attempts to classify the locally projective section regular n-polytopes of type {...
There are two main thrusts in the theory of regular and chiral polytopes: the abstract, purely combi...
Given a chiral d-polytope K with regular facets, we describe a construc-tion for a chiral (d + 1)-po...
AbstractThis paper analyzes the polytopes whose types are the same as the types of finite (string) C...
AbstractIn any abstract 4-polytope P, the faces of ranks 1 and 2 constitute, in a natural way, the v...
Previously we have investigated the medial layer graph G for a finite, self-dual, regular or chiral ...
Pisanski An abstract polytope of rank n is said to be chiral if its automorphism group has two orbit...
Abstract. Regular polygonal complexes in euclidean 3-space E3 are discrete polyhedra-like structures...
This article examines the universal polytope P(of type {5, 3, 5}) whose facets are dodecahedra, and ...
An abstract polytope of rank n is said to be chiral if its automorphism group has precisely two orbi...
AbstractFor each odd prime p, there is a regular polyhedron Πp of type {3,p} with 12(p2−1) vertices ...
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
AbstractA regular polytope P is called locally projective if its minimal sections which are not sphe...
AbstractThis paper addresses the problem of finding abstract regular polytopes with preassigned face...
AbstractIn a previous paper we constructed a finite regular (abstract) 4-polytope of type {3,3,p} fo...
AbstractThis paper attempts to classify the locally projective section regular n-polytopes of type {...
There are two main thrusts in the theory of regular and chiral polytopes: the abstract, purely combi...
Given a chiral d-polytope K with regular facets, we describe a construc-tion for a chiral (d + 1)-po...
AbstractThis paper analyzes the polytopes whose types are the same as the types of finite (string) C...
AbstractIn any abstract 4-polytope P, the faces of ranks 1 and 2 constitute, in a natural way, the v...
Previously we have investigated the medial layer graph G for a finite, self-dual, regular or chiral ...
Pisanski An abstract polytope of rank n is said to be chiral if its automorphism group has two orbit...
Abstract. Regular polygonal complexes in euclidean 3-space E3 are discrete polyhedra-like structures...
This article examines the universal polytope P(of type {5, 3, 5}) whose facets are dodecahedra, and ...
An abstract polytope of rank n is said to be chiral if its automorphism group has precisely two orbi...
AbstractFor each odd prime p, there is a regular polyhedron Πp of type {3,p} with 12(p2−1) vertices ...
AbstractIn recent years the term ‘chiral’ has been used for geometric and combinatorial figures whic...
AbstractA regular polytope P is called locally projective if its minimal sections which are not sphe...
AbstractThis paper addresses the problem of finding abstract regular polytopes with preassigned face...
DOI
Add to ORKG