2 citations · 5 across the 16 of their papers we have counts for
20 papers
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,…
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…
An infinite family of simple graphs underlying chiral, orientable reflexible and non-orientable rotary maps
Isabel Hubard, Primož Potočnik, Primož Šparl
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,…
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…
Sparse groups need not be semisparse
Isabel Hubard, Micael Toledo
In 1999 Michael Hartley showed that any abstract polytope can be constructed as a double coset poset, by means of a C-group $\C$ and a subgroup $N \leq \C$. Subgroups $N \leq \C$ t…
All polytopes are coset geometries: characterizing automorphism groups of k-orbit abstract polytopes
Isabel Hubard, Elías Mochán
Abstract polytopes generalize the classical notion of convex polytopes to more general combinatorial structures. The most studied ones are regular and chiral polytopes, as it is we…