Detail publikačního výsledku

Wang tiles for materials microstructures

DOŠKÁŘ, M.; NOVÁK, J.; ZEMAN, J.

Originální název

Wang tiles for materials microstructures

Anglický název

Wang tiles for materials microstructures

Druh

Abstrakt

Originální abstrakt

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. It utilizes 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.

Anglický abstrakt

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. It utilizes 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.

Klíčová slova

Wang tiles, materials, microstructures

Klíčová slova v angličtině

Wang tiles, materials, microstructures

Autoři

DOŠKÁŘ, M.; NOVÁK, J.; ZEMAN, J.

Vydáno

09.09.2013

Místo

Santorini Island, Greece

Kniha

Multiscale modeling and uncertainty quantification of materials and structures

Strany od

1

Strany do

2

Strany počet

2

BibTex

@misc{BUT110069,
  author="Martin {Doškář} and Jan {Novák} and Jan {Zeman}",
  title="Wang tiles for materials microstructures",
  booktitle="Multiscale modeling and uncertainty quantification of materials and structures",
  year="2013",
  pages="1--2",
  address="Santorini Island, Greece",
  note="Abstract"
}