3 papers
math.CO2026
Two-Orbit Polytopes
Isabel Hubard, Egon Schulte
Abstract polytopes are combinatorial structures with distinctive geometric, algebraic, or topological characteristics, that generalize (the face lattice of) traditional polyhedra,…
math.CO2026
Highly symmetric unstable maniplexes
Isabel Hubard, Micael Toledo
A maniplex of rank n s an n-valent properly edge-coloured graph that generalises, simultaneously, maps on surfaces and abstract polytopes. The problem of stability in maniplexes is…
math.CO2025
An infinite family of simple graphs underlying chiral, orientable reflexible and non-orientable rotary maps
Isabel Hubard, Primož PotoÄnik, Primož Å parl
In this paper, we provide the first known infinite family of simple graphs, each of which is the skeleton of a chiral map, a skeleton of a reflexible map on an orientable surfaces,…