We enumerate the regular and chiral polyhedra (in the sense of Grünbaum’s skeletal approach) whose vertex and edge sets are a subset of those of the primitive cubic lattice, the face-centred cubic lattice, or the body-centred cubic lattice
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
AbstractIn a recent paper, Karpenkov has classified the lattice polytopes (that is, with vertices in...
We enumerate the regular and chiral polyhedra (in the sense of Grünbaum’s skeletal approach) whose v...
Chiral polyhedra in ordinary euclidean space E3 are nearly regular polyhedra; their geometric symmet...
A polyhedron (3-dimensional polytope) is defined as a tessellation polyhedron if it possesses a net ...
Vertices and symmetries of regular and irregular chiral polyhedra are represented by quaternions wit...
There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their ...
There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their ...
Abstract The paper surveys highlights of the ongoing program to classify discrete polyhedral structu...
There are two main thrusts in the theory of regular and chiral polytopes: the abstract, purely combi...
Dedicated to W. Kuperberg on the occasion of his sixtieth birthday, and to the memory of Charles E. ...
This paper proposes a presentation unfolding regular and semi-regular polyhedra. Regular polyhedra a...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
AbstractIn a recent paper, Karpenkov has classified the lattice polytopes (that is, with vertices in...
We enumerate the regular and chiral polyhedra (in the sense of Grünbaum’s skeletal approach) whose v...
Chiral polyhedra in ordinary euclidean space E3 are nearly regular polyhedra; their geometric symmet...
A polyhedron (3-dimensional polytope) is defined as a tessellation polyhedron if it possesses a net ...
Vertices and symmetries of regular and irregular chiral polyhedra are represented by quaternions wit...
There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their ...
There are two chiral Archimedean polyhedra, the snub cube and snub dodecahedron together with their ...
Abstract The paper surveys highlights of the ongoing program to classify discrete polyhedral structu...
There are two main thrusts in the theory of regular and chiral polytopes: the abstract, purely combi...
Dedicated to W. Kuperberg on the occasion of his sixtieth birthday, and to the memory of Charles E. ...
This paper proposes a presentation unfolding regular and semi-regular polyhedra. Regular polyhedra a...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
We present a framework for designing shapes from diverse combinatorial patterns, where the vertex 1-...
AbstractIn a recent paper, Karpenkov has classified the lattice polytopes (that is, with vertices in...