3 papers
math.DS2023
Blowups and Tops of Overlapping Iterated Function Systems
Louisa F. Barnsley, Michael F. Barnsley
We review aspects of an important paper by Robert Strichartz concerning reverse iterated function systems (i.f.s.) and fractal blowups. We compare the invariant sets of reverse i.f…
math.DS2021
Distortion Reversal in Aperiodic Tilings
Louisa Barnsley, Michael Barnsley, Andrew Vince
It is proved that homeomorphic images of certain two-dimensional aperiodic tilings, such as Ammann-A2 tilings, are recognizable, in both mathematical and practical senses. One impl…
math.DS2020
Tiling Iterated Function Systems
Michael F. Barnsley, Louisa F. Barnsley, Andrew Vince
This paper presents a detailed symbolic approach to the study of self-similar tilings. It uses properties of addresses associated with graph-directed iterated function systems to e…