Christoffel and Fibonacci Tiles

DOI10.1007/978-3-642-04397-0_7zbMath1244.05053OpenAlexW1602847274MaRDI QIDQ3648773

Srečko Brlek, Alexandre Blondin Massé, A. Garon, Sébastien Labbé

Publication date: 1 December 2009

Published in: Discrete Geometry for Computer Imagery (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-04397-0_7

zbMATH Keywords

tilingFibonacci sequencepolyominoesChristoffel word

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyominoes (05B50)

Related Items (6)

A parallelogram tile fills the plane by translation in at most two distinct ways ⋮ About thin arithmetic discrete planes ⋮ Two infinite families of polyominoes that tile the plane by translation in two distinct ways ⋮ Mathematical specification of hitomezashi designs ⋮ Equations on palindromes and circular words ⋮ Arithmetic Discrete Planes Are Quasicrystals

Uses Software

• SageMath

Cites Work

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• On the tiling by translation problem
• On translating one polyomino to tile the plane
• A new characteristic property of the palindrome prefixes of a standard Sturmian word
• On Christoffel classes
• Combinatorics on Words
• Arbitrary versus periodic storage schemes and tessellations of the plane using one type of polyomino
• Euclidean Paths: A New Representation of Boundary of Discrete Regions
• An Optimal Algorithm for Detecting Pseudo-squares
• PROPERTIES OF THE CONTOUR PATH OF DISCRETE SETS

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