4 papers · 1 filter
Symmetries of voltage operations on polytopes, maps and maniplexes
Isabel Hubard, Elías Mochán, Antonio Montero
Voltage operations extend traditional geometric and combinatorial operations (such as medial, truncation, prism, and pyramid over a polytope) to operations on maniplexes, maps, pol…
Politopality of 2-orbit maniplexes
Elías Mochán
Abstract polytopes are a combinatorial generalization of convex and skeletal polytopes. Counting how many flag orbits a polytope has under its automorphism group is a way of measur…
Cayley extensions of maniplexes and polytopes
Gabe Cunningham, Elías Mochán, Antonio Montero
A map on a surface whose automorphism group has a subgroup acting regularly on its vertices is called a Cayley map. Here we generalize that notion to maniplexes and polytopes. We d…
Voltage operations on maniplexes
Isabel Hubard, Elías Mochán, Antonio Montero
Classical geometric and topological operations on polyhedra, maps and polytopes often give rise to structures with the same symmetry group as the original one, but with more flags.…