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arXiv · 1909.06994

Spinors and Descartes configurations of disks

Jerzy Kocik
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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.

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Jerzy Kocik. 2019-09-16. Spinors and Descartes configurations of disks. https://arxiv.org/abs/1909.06994

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