8 citations · 27 across the 13 of their papers we have counts for
Showing 2013 · math.COShow all
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math.CO2013
Tight orientably-regular polytopes
Marston Conder, Gabe Cunningham
Every equivelar abstract polytope of type has at least flags. Polytopes that attain this lower bound are called tight. Here we inve…
math.CO2013
Chiral extensions of chiral polytopes
Gabe Cunningham, Daniel Pellicer
Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K. Furthermore, P is finite whenever K is fini…
math.CO2013★ 1 cited
Symmetry Type Graphs of Abstract Polytopes and Maniplexes
Gabe Cunningham, Maria del Rio Francos, Isabel Hubard +1
A -orbit maniplex is one that has orbits of flags under the action of its automorphism group. In this paper we extend the notion of symmetry type graphs of maps to that of m…