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Aperiodic tilings
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1	Wang Tiles May 2, 2006 Abstract Suppose we want to cover the plane with decorated square tiles of the same size. Tiles are to be chosen from a finite number of types. There are unbounded tiles of each type available. Due Add to Reading List Source URL: www.staff.science.uu.nl Language: English - Date: 2011-12-30 16:37:17 Aperiodic tilings Geometry Mathematics Mosaic Visual arts Tessellation Theory of computation Wang tile Tile Penrose tiling Aperiodic set of prototiles
2	How to make tilings This instruction shows how to make tilings from a triangle shaped base. Equilateral triangles can be used to cover an area without wholes and without overlapping. This is because their angles are 60° Add to Reading List Source URL: www.mathematicsinthemaking.eu Language: English - Date: 2014-12-12 11:21:18 Mosaic Symmetry Tessellation Aperiodic tilings Discrete geometry Penrose tiling
3	Canonical Substitution Tilings E O HARRISS and J S W LAMB xpand E Add to Reading List Source URL: www.mathematicians.org.uk Language: English - Date: 2004-12-02 19:00:00 Aperiodic tiling Tessellation Prototile Ammann–Beenker tiling Penrose tiling Tiling Geometry Substitution tiling
4	On Canonical Substitution Tilings Edmund O Harriss Department of Mathematics Imperial College, London 180 Queen’s Gate, London SW7 2AZ United Kingdom Add to Reading List Source URL: www.mathematicians.org.uk Language: English - Date: 2004-12-02 19:00:00 Substitution tiling Tessellation Polytope Integration by substitution Aperiodic tiling Ammann–Beenker tiling Tiling Geometry Penrose tiling
5	Aperiodic Tilings: Notions and Properties Michael Baake & Uwe Grimm Faculty of Mathematics University of Bielefeld, Germany Department of Mathematics and Statistics Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2011-10-21 17:45:49 Algebra Operator theory Crystallography Quasicrystal Tiling Lattice Spectral theory of ordinary differential equations Symbol Abstract algebra Spectral theory Mathematical analysis
6	TUGboat, Volume[removed]), No. 2 Graphics Applications pst-fill — a PSTricks package for filling and tiling areas Denis Girou Add to Reading List Source URL: www.tug.org Language: English - Date: 2011-10-16 21:05:36 Tessellation Aperiodic tiling Uniform tilings in hyperbolic plane PSL Penrose tiling Geometry Tiling PSTricks
7	TUGboat, Volume[removed]), No. 2 Graphics Applications pst-fill — a PSTricks package for filling and tiling areas Denis Girou Add to Reading List Source URL: tug.org Language: English - Date: 2011-10-16 21:05:36 Tessellation Aperiodic tiling Uniform tilings in hyperbolic plane PSL Penrose tiling Geometry Tiling PSTricks
8	What is a tiling? Results on translational tilings Translational tilings of a convex body, with multiplicity Workshop on Mathematical Add to Reading List Source URL: www.crystallography.fr Language: English - Date: 2014-01-27 10:16:38 Aperiodic tiling Penrose tiling Polytope Substitution tiling Anisohedral tiling Tiling Geometry Tessellation
9	Penrose Tiles and Aperiodic Tessellations Penrose tilings are a remarkable example of aperiodic, semi-regular tessellations1. What follows is an excerpt from an article on Penrose tilings by Martin Gardner, Add to Reading List Source URL: math.uchicago.edu Language: English - Date: 2012-04-04 17:08:16 Tessellation Wang tile Kite Tiling by regular polygons Roger Penrose Robert Ammann Pattern Tile Polyomino Tiling Geometry Penrose tiling
10	Matching rules and substitution tilings Chaim Goodman-Strauss April 25, 1996 Add to Reading List Source URL: comp.uark.edu Language: English Aperiodic tiling Prototile Tessellation Pinwheel tiling Penrose tiling Ammann–Beenker tiling Tiling Geometry Substitution tiling