Tilings And Patterns
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Tilings And Patterns
''Tilings and patterns'' is a book by mathematicians Branko Grünbaum and Geoffrey Colin Shephard published in 1987 by W.H. Freeman. The book was 10 years in development, and upon publication it was widely reviewed and highly acclaimed. Structure and topics The book is concerned with Tessellation, tilings—a partition of the plane into regions (the tiles)—and patterns—repetitions of a motif in the plane in a regular manner. The book is divided into two parts. The first seven chapters define concepts and terminology, establish the general theory of tilings, survey tilings by regular polygons, review the theory of patterns, and discuss tilings in which all the tiles, or all the edges, or all the vertices, play the same role. The last five chapters survey a variety of advanced topics in tiling theory: Dichromatic symmetry, colored patterns and tilings, Euclidean tilings by convex regular polygons, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kin ...
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Branko Grünbaum
Branko Grünbaum (; 2 October 1929 – 14 September 2018) was a Croatian-born mathematician of Jewish descentBranko Grünbaum
Hrvatska enciklopedija LZMK.
and a professor at the in . He received his Ph.D. in 1957 from Hebrew University of Jerusalem.


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