1 citations · 2 across the 3 of their papers we have counts for
4 papers
Patterns formed by coins
Andrey M. Mishchenko
This article is a gentle introduction to the mathematical area known as circle packing, the study of the kinds of patterns that can be formed by configurations of non-overlapping c…
Three techniques for obtaining algebraic circle packings
Larsen Louder, Andrey M. Mishchenko, Juan Souto
The main purpose of this article is to demonstrate three techniques for proving algebraicity statements about circle packings. We give proofs of three related theorems: (1) that ev…
Fixed-point index, the Incompatibility Theorem, and torus parametrization
Andrey M. Mishchenko
The fixed-point index of a homeomorphism of Jordan curves measures the number of fixed-points, with multiplicity, of the extension of the homeomorphism to the full Jordan domains i…
Rigidity of thin disk configurations, via fixed-point index
Andrey M. Mishchenko
We prove some rigidity theorems for configurations of closed disks. First, fix two collections and of closed disks in the Riemann sphere $\hat{\…