AbstractThis paper contains a classification of the regular minimal abstract polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed discussion of their topological structure, and completes the enumeration of such covers for convex uniform polyhedra. Additionally, this paper addresses related structural questions in the theory of string C-groups
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for...
Unlike the situation in the classical theory of convex polytopes, there is a wealth of semi-regular ...
This paper introduces the idea of a maniplex, a common generalization of map and of polytope. The pa...
AbstractThis paper contains a classification of the regular minimal abstract polytopes that act as c...
polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed...
AbstractCertain abstract polytopes are constructed from generalized combinatorial cubes by taking qu...
AbstractThis paper studies C-group permutation representation graphs, or for short, CPR graphs. C-gr...
AbstractWe present the results of an investigation into the representations of Archimedean polyhedra...
First we prove that the class $C_{I}$ of centrally symmetric convex polyhedra with regular polygonal...
AbstractA well known family of minimally nonideal matrices is the family of the incidence matrices o...
AbstractIn the classical setting, a convex polytope is said to be semiregular if its facets are regu...
AbstractThere are only finitely many locally projective regular polytopes of type {5, 3, 5}. They ar...
AbstractWhen the standard representation of a crystallographic Coxeter group G (with string diagram)...
Regularity has often been present in the form of regular polyhedra or tessellations; classical examp...
AbstractAny Coxeter group Γ, with string diagram, is the symmetry group of a (possibly infinite) reg...
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for...
Unlike the situation in the classical theory of convex polytopes, there is a wealth of semi-regular ...
This paper introduces the idea of a maniplex, a common generalization of map and of polytope. The pa...
AbstractThis paper contains a classification of the regular minimal abstract polytopes that act as c...
polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed...
AbstractCertain abstract polytopes are constructed from generalized combinatorial cubes by taking qu...
AbstractThis paper studies C-group permutation representation graphs, or for short, CPR graphs. C-gr...
AbstractWe present the results of an investigation into the representations of Archimedean polyhedra...
First we prove that the class $C_{I}$ of centrally symmetric convex polyhedra with regular polygonal...
AbstractA well known family of minimally nonideal matrices is the family of the incidence matrices o...
AbstractIn the classical setting, a convex polytope is said to be semiregular if its facets are regu...
AbstractThere are only finitely many locally projective regular polytopes of type {5, 3, 5}. They ar...
AbstractWhen the standard representation of a crystallographic Coxeter group G (with string diagram)...
Regularity has often been present in the form of regular polyhedra or tessellations; classical examp...
AbstractAny Coxeter group Γ, with string diagram, is the symmetry group of a (possibly infinite) reg...
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for...
Unlike the situation in the classical theory of convex polytopes, there is a wealth of semi-regular ...
This paper introduces the idea of a maniplex, a common generalization of map and of polytope. The pa...
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