2 papers
math.GT2025
An algebraic approach to circle packing
Daniel V. Mathews, Orion Zymaris
We show that for certain triangulations of surfaces, circle packings realising the triangulation can be found by solving a system of polynomial equations. We also present a similar…
math.GT2023
Spinors and Descartes' Theorem
Daniel V. Mathews, Orion Zymaris
Descartes' circle theorem relates the curvatures of four mutually externally tangent circles, three "petal" circles around the exterior of a central circle, forming a "-flower"…