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math.CO2021
A polytopal generalization of Apollonian packings and Descartes' theorem
Jorge L. Ramírez Alfonsín, Iván Rasskin
We present a generalization of Descartes' theorem for the family of polytopal sphere packings arising from uniform polytopes. The corresponding quadratic equation is expressed in t…
math.GT2021
Self-dual maps II: links and symmetry
Luis Montejano, Jorge L. Ramírez Alfonsín, Ivan Rasskin
In this paper, we investigate representations of links that are either centrally symmetric in or antipodally symmetric in . By using the notions of ant…