tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kinds of tiles. Each chapter open...

symmetry, Penrose tilings may have both reflection symmetry and fivefold rotational symmetry. Penrose tilings are named after mathematician and physicist Roger...

such tilings for n = 1; 20 such tilings for n = 2; 39 such tilings for n = 3; 33 such tilings for n = 4; 15 such tilings for n = 5; 10 such tilings for...

uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings. There are three regular and eight semiregular tilings in the...

The herringbone pattern is an arrangement of rectangles used for floor tilings and road pavement, so named for a fancied resemblance to the bones of a...

Cyclotruncated simplectic honeycomb List of uniform tilings Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. W. H. Freeman. ISBN 978-0-7167-1193-3....

needed] A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non-periodic tilings. The Penrose tilings are a well-known...

Monohedral tilings by convex polygons Tilings and patterns, from list of 107 isohedral tilings, pp. 473–481 Tilings and patterns, uniform tilings that are...

in a tessellation pattern. In his 1619 work Harmonice Mundi, among periodic tilings, Johannes Kepler includes nonperiodic tilings, like that with three...

Natural patterns include spirals, meanders, waves, foams, tilings, cracks, and those created by symmetries of rotation and reflection. Patterns have an...

visualization and graphic design, Truchet tiles are square tiles decorated with patterns that are not rotationally symmetric. When placed in a square tiling of the...

several new aperiodic tilings, each among the simplest known examples of aperiodic sets of tiles. He also showed how to generate tilings using lines in the...

Branko; Shephard, G. C. (1987). Tilings and Patterns. New York: W. H. Freeman. ISBN 0-7167-1193-1. (6.4 Isotoxal tilings, pp. 309–321) Coxeter, Harold Scott...

triangular tiling) Tilings and patterns, p.102-107 "The Lattice A2". Order in Space: A design source book, Keith Critchlow, p.74-75, pattern 1 Tilings and Patterns...

Krotenheerdt tilings, with no other such k-uniform tilings for k > 7, and it is also the only k for which the count of Krotenheerdt tilings agrees with...

tilings, which were found by Robinson in 1971. The A1 tiles are one of five sets of tiles discovered by Ammann and described in Tilings and patterns....

hexagonal tiling). Tilings of regular polygons List of uniform tilings Chavey, D. (1989). "Tilings by Regular Polygons—II: A Catalog of Tilings". Computers &...

Branko; Shephard, G. C. (1987). Tilings and Patterns. W. H. Freeman. p. 21, 29. Lorenzo, Sadun (2008). Topology of Tiling Spaces. American Mathematical...

(1987), Tilings and Patterns, New York: W. H. Freeman, ISBN 0-7167-1193-1. Steven Dutch's page including many pictures of aperiodic tilings Animated...

Euclidean plane and hyperbolic plane. Uniform tilings are related to the finite uniform polyhedra; these can be considered uniform tilings of the sphere...

Peter J. Lu and Paul J. Steinhardt suggested that girih tilings possess properties consistent with self-similar fractal quasicrystalline tilings such as Penrose...

and semiregular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings...

and described in Tilings and patterns. The Ammann–Beenker tilings have many properties similar to the more famous Penrose tilings: They are nonperiodic,...

comparative overlay of this tiling and its dual) Tilings and patterns Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. New York: W. H. Freeman...

Geoffrey C. (1986), Tilings and Patterns, New York: W. H. Freeman, ISBN 978-0-7167-1194-0, according to Dutch, Steven (2003), Aperiodic Tilings, University of...

from spherical tilings to Euclidean tilings to hyperbolic tilings. Hyperbolic tilings can also be divided between compact, paracompact and divergent cases...

subject. His monograph Tilings and patterns, coauthored with G. C. Shephard, helped to rejuvenate interest in this classic field, and has proved popular with...

monohedral tilings it is denoted [3.6.3.6]. It is also one of 56 possible isohedral tilings by quadrilaterals, and one of only eight tilings of the plane...

the 3-4-3-12 tiling is one of 20 2-uniform tilings of the Euclidean plane by regular polygons, containing regular triangles, squares, and dodecagons, arranged...

Scott, A Greek-English Lexicon, on Perseus. Grünbaum, B. and G. C. Shephard; Tilings and patterns, New York: W. H. Freeman & Co., (1987), ISBN 0-7167-1193-1...