A note on unbounded Apollonian disk packings

Abstract

A construction and algebraic characterization of two unbounded Apollonian Disk packings in the plane and the half-plane are presented. Both turn out to involve the golden ratio.

10 pages, 9 figures

References in corpus (2)

• A theorem on circle configurations
• On a Diophantine equation that generates all integral Apollonian Gaskets

Cited by in corpus (3)

• Apollonian depth and the accidental fractal
• Spinors, lattices, and classification of integral Apollonian disk packings
• Apollonian depth, spinors, and the super-Dedekind tessellation