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math.CO2023
Cayley extensions of maniplexes and polytopes
Gabe Cunningham, Elías Mochán, Antonio Montero
A map on a surface whose automorphism group has a subgroup acting regularly on its vertices is called a Cayley map. Here we generalize that notion to maniplexes and polytopes. We d…
math.CO2016
Open problems on k-orbit polytopes
Gabe Cunningham, Daniel Pellicer
We present 35 open problems on combinatorial, geometric and algebraic aspects of k-orbit abstract polytopes. We also present a theory of rooted polytopes that has appeared implicit…