A map, that is, a cellular embedding of a graph on a surface, may admit symmetries such as
rotations and reflections. Prominent examples of maps with a 'high level of symmetry7 come …

Developments and open problems on chiral polytopes Page 1 Also available at http://amc.imfm.si
ISSN 1855-3966 (printed edn.), ISSN 1855-3974 (electronic edn.) ARS MATHEMATICA …

An orientably-regular map is a 2-cell embedding of a connected graph or multigraph into an
orientable surface, such that the group of all orientation-preserving automorphisms of the …

A 2-cell embedding of a graph into a nonorientable closed surface is called regular if its
automorphism group acts regularly on its flags (incident vertex-edge-face triples). This paper …

An orientably-regular map is a 2-cell embedding of a connected graph or multigraph into an
orientable surface, such that the group of all orientation-preserving automorphisms of the …

On the classification of regular embeddings of hypercubes Page 1 History Regular
embeddings Hypercubes Admissible involutions Classification On the classification of regular …