17 citations · 20 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Tiling iterated function systems and Anderson-Putnam theory
Michael F Barnsley, Andrew Vince
The theory of fractal tilings of fractal blow-ups is extended to graph-directed iterated function systems, resulting in generalizations and extensions of some of the theory of Ande…
Self-Similar Tilings of Fractal Blow-Ups
Michael F Barnsley, Andrew Vince
New tilings of certain subsets of are studied, tilings associated with fractal blow-ups of certain similitude iterated function systems (IFS). For each such IFS wi…
Fractal Continuation
Michael F. Barnsley, Andrew Vince
A fractal function is a function whose graph is the attractor of an iterated function system. This paper generalizes analytic continuation of an analytic function to continuation o…