Wang tiles for materials microstructures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F13%3APU110910" target="_blank" >RIV/00216305:26110/13:PU110910 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Wang tiles for materials microstructures
Original language description
The present contribution aims to summarize our recent results on geometrical modeling of random heterogeneous materials by Wang tilings. The concept of Wang tilings was originally developed to study mathematical theorem proofs by pattern recognition. Itutilizes a small set of Wang tiles, jigsaw puzzle quatrominoes, designed to tile the plane in an aperiodic, geometrically compatible, manner. Wang tiles have been later applied, for example, in physics to modeling of quasicrystals, in computer graphics for texture synthesis and DNA assembly in biology. In all cases, the appealing features of Wang tilings proceed from their ability to create large naturally looking patterns using only a limited number of tiles.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
JM - Structural engineering
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů