4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DS2007
A dynamical system using the Voronoi tessellation
Natalie Priebe Frank, Sean Hart
We introduce a dynamical system based on the vertices of Voronoi tessellations. This dynamical system acts on finite or discrete point sets in the plane, taking a point set to the…
math.DS2007★ 4 cited
A primer on substitution tilings of the Euclidean plane
Natalie Priebe Frank
This paper is intended to provide an introduction to the theory of substitution tilings. For our purposes, tiling substitution rules are divided into two broad classes: geometric a…
math.DS2007★ 1 cited
Topology of (some) tiling spaces without finite local complexity
Natalie Priebe Frank, Lorenzo Sadun
A basic assumption of tiling theory is that adjacent tiles can meet in only a finite number of ways, up to rigid motions. However, there are many interesting tiling spaces that do…