A framework for the construction of self-replicating tilings

DOI10.1007/s00454-009-9219-6zbMath1186.28007OpenAlexW2121599681MaRDI QIDQ1042460

María del Carmen Moure

Publication date: 14 December 2009

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-009-9219-6

zbMATH Keywords

rotationalphabetrecurrent setmulti-tileself-replicating tile

Mathematics Subject Classification ID

Fractals (28A80) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (1)

Crystallographic Haar wavelets

Cites Work

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• On the fractal curves induced from the complex radix expansion
• Graph-directed reptiles of \(\mathbb R^2\)
• Replicating superfigures and endomorphisms of free groups
• Recurrent sets
• Self-replicating tiles and their boundary
• Haar-type multiwavelet bases and self-affine multi-tiles
• Wavelets with composite dilations and their MRA properties
• Dimension and Dynamics for Fractal Recurrent Sets
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• The Hausdorff Dimension of the Boundary of a Self-Similar Tile

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