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math.CO2022
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…
math.CO2022
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.…