Spinors and Descartes configurations of disks
Metric Geometry
2019-09-17 v1 Mathematical Physics
math.MP
Abstract
We define spinors for pairs of tangent disks in the Euclidean plane and prove a number of theorems, one of which may be interpreted as a "square root of Descartes Theorem". In any Apollonian disk packing, spinors form a network. In the Apollonian Window, a special case of Apollonian disk packing, all spinors are integral.
Cite
@article{arxiv.1909.06994,
title = {Spinors and Descartes configurations of disks},
author = {Jerzy Kocik},
journal= {arXiv preprint arXiv:1909.06994},
year = {2019}
}
Comments
21 pages, 14 figures