Matthew Stamps

A circle packing is a configuration of circles with prescribed tangencies corresponding to a given triangulation. In fact, given atriangulation, there is a well-established algorithm for creating its associated circle packing. In this project, we will describe circle packings defined by triangulations that arise from Penrosetilings. Penrose tilings are interesting because, though lacking translational symmetry, they are highly ordered through a process known as inflation. This presentation will describe a gluing process that explains how inflation can be used to create the circle packings defined by Penrose tilings.

Faculty Mentor: David Austin

Page last modified July 14, 2009