Add to ORKGA recently developed theory of flag-graphs and $k$-orbit maps classifies maps according to their symmetry-type graphs. We propose a similar classification for polyhedra showing that Platonic and Archimedean solids with the same vertex pattern have isomorphic symmetry-type graphs and introducing some tools for the determination of symmetry-type graphs of any polyhedron
AbstractSeveral classification theorems involving highly symmetric tilings by regular polygons have ...
Platonic solids, Felix Klein, H.S.M. Coxeter and a flap of a swallowtail: The five Platonic solids t...
AbstractVarious extremum problems are presented which lead to highly symmetric geometrical configura...
A recently developed theory of flag-graphs and $k$-orbit maps classifies maps according to their sym...
First we prove that the class $C_{I}$ of centrally symmetric convex polyhedra with regular polygonal...
In what ways can one tile a surface such that the tiling has a large measure of symmetry? This quest...
In what ways can one tile a surface such that the tiling has a large measure of symmetry? This quest...
In what ways can one tile a surface such that the tiling has a large measure of symmetry? This quest...
The scope of this catalogue is more-or-less confined to the most symmetrical polyhedra exemplified b...
The scope of this catalogue is more-or-less confined to the most symmetrical polyhedra exemplified b...
The history of graphs goes back to the work of Eulerin his discovery of the equation f – e + v = ...
Rotationally-invariant colorings of the Platonic solids are considered. Permutation representations ...
The well known infinite families of prisms and antiprisms on the sphere were, for long time, not con...
A pentagon is an example of a highly symmetric polygon in two-dimensional space. The three-and four-...
We introduce a new practical and more general definition of local symmetry-preserving operations on ...
AbstractSeveral classification theorems involving highly symmetric tilings by regular polygons have ...
Platonic solids, Felix Klein, H.S.M. Coxeter and a flap of a swallowtail: The five Platonic solids t...
AbstractVarious extremum problems are presented which lead to highly symmetric geometrical configura...
A recently developed theory of flag-graphs and $k$-orbit maps classifies maps according to their sym...
First we prove that the class $C_{I}$ of centrally symmetric convex polyhedra with regular polygonal...
In what ways can one tile a surface such that the tiling has a large measure of symmetry? This quest...
In what ways can one tile a surface such that the tiling has a large measure of symmetry? This quest...
In what ways can one tile a surface such that the tiling has a large measure of symmetry? This quest...
The scope of this catalogue is more-or-less confined to the most symmetrical polyhedra exemplified b...
The scope of this catalogue is more-or-less confined to the most symmetrical polyhedra exemplified b...
The history of graphs goes back to the work of Eulerin his discovery of the equation f – e + v = ...
Rotationally-invariant colorings of the Platonic solids are considered. Permutation representations ...
The well known infinite families of prisms and antiprisms on the sphere were, for long time, not con...
A pentagon is an example of a highly symmetric polygon in two-dimensional space. The three-and four-...
We introduce a new practical and more general definition of local symmetry-preserving operations on ...
AbstractSeveral classification theorems involving highly symmetric tilings by regular polygons have ...
Platonic solids, Felix Klein, H.S.M. Coxeter and a flap of a swallowtail: The five Platonic solids t...
AbstractVarious extremum problems are presented which lead to highly symmetric geometrical configura...