Tessellations and Descartes disk configurations

TL;DR

This paper explores a novel connection between finite planar tessellations and Descartes circle arrangements, offering a visual insight into the underlying spinor structure of Descartes circles.

Contribution

It introduces a new correspondence linking tessellations with Descartes configurations, providing a geometric visualization of their spinor structure.

Findings

Established a correspondence between tessellations and Descartes circles

Visualized the spinor structure underlying circle arrangements

Enhanced understanding of circle configuration geometries

Abstract

An intriguing correspondence between certain finite planar tessellations and the Descartes circle arrangements is presented. This correspondence may be viewed as a visualization of the spinor structure underlying Descartes circles.