TITLE

Local Rules and Global Order, Or Aperiodic Tilings

AUTHOR(S)
Durand, Bruno; Levin, Leonid; Shen, Alexander
PUB. DATE
January 2005
SOURCE
Mathematical Intelligencer;Winter2005, Vol. 27 Issue 1, p64
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The article focuses on the Berger theorem on aperiodic tilings in mathematics. The theorem was proved by R. Burger in 1966. In 1971 the proof was simplified by R. Robininson, who invented the well-known "Robinson Tiles" that can tile the entire planet but only in an aperiodic way. Since then many similar constructions have been invented, some other proofs were based on different ideas. Defination of configuration, the Aperiodic Tilings theorem, substitute mapping and other details are included in the article.
ACCESSION #
15690969

 

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