2 citations · 3 across the 5 of their papers we have counts for
7 papers
Links in orthoplicial Apollonian packings
Jorge L. Ramírez Alfonsín, Iván Rasskin
In this paper, we establish a connection between Apollonian packings and knot theory. We introduce new representations of links realized in the tangency graph of the regular crysta…
Self-dual Maps III: projective links
L. Montejano, J. Ramirez Alfonsin, I. Rasskin
In this paper, we present necessary and sufficient combinatorial conditions for a link to be projective, that is, a link in . This characterization is closely related to the…
Regular polytopes, sphere packings and Apollonian sections
Iván Rasskin
In this paper, we explore the geometry and the arithmetic of a family of polytopal sphere packings induced by regular polytopes in any dimension. We prove that every integral polyt…
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…
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…
Ball packings for links
Jorge Luis Ramírez Alfonsín, Ivan Rasskin
The ball number of a link , denoted by , is the minimum number of solid balls (not necessarily of the same size) needed to realize a necklace representing . In this…