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math.NT2021
Domains of Convergence for Polyhedral Packings
Nooria Ahmed, William Ball, Ellis Buckminster +6
Polyhedral circle packings are generalizations of the Apollonian packing. We develop the theory of the Apollonian group, Descartes quadratic form, and related objects for all polyh…
math.NT2021★ 1 cited
Apollonian Packings and Kac-Moody Root Systems
Ian Whitehead
We study Apollonian circle packings in relation to a certain rank 4 indefinite Kac-Moody root system . We introduce the generating function of a packing, an expo…