Crystallographic reptiles

DOI10.1007/BF01263995zbMath0807.05022OpenAlexW4254496037MaRDI QIDQ1336248

Götz Gelbrich

Publication date: 2 March 1995

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01263995

zbMATH Keywords

tilingcrystallographic groupisohedral tilingcrystallographic reptilecrystallographic tilinggroup graphself-affine lattice tilings

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (20)

On the nonexistence of \(k\)-reptile simplices in \(\mathbb R^3\) and \(\mathbb R^4\) ⋮ Rep-tiling Euclidean space ⋮ A survey on topological properties of tiles related to number systems ⋮ Self-similar tilings and expanding homomorphisms of groups ⋮ On the nonexistence of \(k\)-reptile tetrahedra ⋮ Crystallographic Haar wavelets ⋮ Delone Sets and Dynamical Systems ⋮ A NOTE ON A SELF-SIMILAR TILING GENERATED BY THE MINIMAL PISOT NUMBER ⋮ Topology of crystallographic tiles ⋮ Fractal tilings from iterated function systems ⋮ Topology of a class of \(p2\)-crystallographic replication tiles ⋮ Crystallographic number systems ⋮ Tilings from graph directed iterated function systems ⋮ On a theorem of Bandt and Wang and its extension to \(p2\)-tiles ⋮ Approximation by crystal-refinable functions ⋮ Developments in fractal geometry ⋮ Fractal Escher salamanders and other animals ⋮ A single fractal pinwheel tile ⋮ FRACTAL REP TILES OF ℝ2 AND ℝ3 USING INTEGER MATRICES ⋮ BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES

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