Fractal Penrose tiles. II: Tiles with fractal boundary as duals of Penrose triangles

DOI10.1007/BF02755450zbMath0981.52014OpenAlexW1986433817MaRDI QIDQ1364856

Götz Gelbrich

Publication date: 18 March 2002

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137698

zbMATH Keywords

Penrose tilingsfractal boundariesself-similar quasiperiodic tilings

Mathematics Subject Classification ID

Fractals (28A80) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (8)

Fractal Penrose tilings. I: Construction and matching rules ⋮ Hyperbolic groupoids and duality ⋮ Selfdual substitutions in dimension one ⋮ Dual systems of algebraic iterated function systems ⋮ Self-dual tilings with respect to star-duality ⋮ Periodic codings of algebraic graph-directed IFS ⋮ A note on aperiodic Ammann tiles ⋮ Substitutions with vanishing rotationally invariant first cohomology

Cites Work

• Self-similar sets. III: Constructions with sofic systems
• Pentaplexity. A class of non-periodic tilings of the plane
• Fractal Penrose tilings. I: Construction and matching rules
• Unnamed Item

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