Tessellations and Descartes disk configurations

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.

12 pages, many figures

References in corpus (3)

• A Tale of Two Fractals: The Hofstadter Butterfly and The Integral Apollonian Gaskets
• A theorem on circle configurations
• On a Diophantine equation that generates all integral Apollonian Gaskets