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Open problems on k-orbit polytopes
Authors:Gabe Cunningham  Daniel Pellicer
Institution:1. University of Massachusetts Boston, United States;2. Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México, Mexico
Abstract: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 implicitly in previous work but has not been formalized before.
Keywords:Rooted abstract polytope  Corresponding author  
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