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Channel: Tilings Encyclopedia - Glossary
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super-tile

Description: The n-th iterate sn(T) of a prototile under a substitution s.read more

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Dual

Description: One way to compute the window of a model set (resp. the \cite{gloss Rauzy ... read more

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Perron

Description: A Perron number is an algebraic number that is strictly greater in absolute value than its algebraic ... read more

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morphism

Description: Substitutions - in particular 1dim substitutions - with mprototile ... read more

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Ammann bars

Description: In some substitution tilings it is possible to decorate the prototiles wit ... read more

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Taxonomy

Description: This is not a mathematical term in this context. By taxonomy we mean the classification of th ... read more

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translation module

Description: For any tiling T, the translation module is the Z-span of all translation ... read more

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Self-similar substitution

Description: A substitution (at least here) consists of rules how to enlarge a tile and replace the enlarged tile ... read more

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Statistical circular symmetry

Description: A tiling has statistical circular symmetry, if the orientation of the tiles of each kind are equidis ... read more

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Aperiodic

Description: There are disputations among the experts how to define "aperiodic". One possibility is to use it syn ... read more

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