A game of packings
Metric Geometry
2020-06-02 v1 Geometric Topology
Abstract
In this note, we investigate an infinite one parameter family of circle packings, each with a set of three mutually tangent circles. We use these to generate an infinite set of circle packings with the Apollonian property. That is, every circle in the packing is a member of a cluster of four mutually tangent circles.
Cite
@article{arxiv.2006.00619,
title = {A game of packings},
author = {Arthur Baragar and Daniel Lautzenheiser},
journal= {arXiv preprint arXiv:2006.00619},
year = {2020}
}