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math.CO2020
On the Schläfli symbol of chiral extensions of polytopes
Antonio Montero
Given an abstract -polytope , an abstract -polytope is an extension of if all the facets of are isomorphic to $\mat…
math.CO2020
Locally spherical hypertopes from generlised cubes
Antonio Montero, Asia Ivić Weiss
We show that every non-degenerate regular polytope can be used to construct a thin, residually-connected, chamber-transitive incidence geometry, i.e. a regular hypertope, with a ta…