Publication detail

Wang tiles for materials microstructures

DOŠKÁŘ, M. NOVÁK, J. ZEMAN, J.

Original Title

Wang tiles for materials microstructures

Type

abstract

Language

English

Original Abstract

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.

Keywords

Wang tiles, materials, microstructures

Authors

DOŠKÁŘ, M.; NOVÁK, J.; ZEMAN, J.

Released

9. 9. 2013

Location

Santorini Island, Greece

Pages from

1

Pages to

2

Pages count

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"
}