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- Q741518 subject Q21980955.
- Q741518 abstract "An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non-periodic tilings. The Penrose tilings are the best-known examples of aperiodic tilings.Aperiodic tilings serve as mathematical models forquasicrystals, physical solids that were discovered in 1982 by Dan Shechtman who subsequently won the Nobel prize in 2011. However, the specific local structure of these materials is still poorly understood.Several methods for constructing aperiodic tilings are known. The most frequent ones are explained below.".
- Q741518 thumbnail Rhombus_Penrose_tiling_with_arcs.svg?width=300.
- Q741518 wikiPageExternalLink tiling.html.
- Q741518 wikiPageExternalLink aperiod.htm.
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- Q741518 wikiPageWikiLink Q21980955.
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- Q741518 wikiPageWikiLink Q741518.
- Q741518 wikiPageWikiLink Q7632143.
- Q741518 wikiPageWikiLink Q791663.
- Q741518 comment "An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non-periodic tilings. The Penrose tilings are the best-known examples of aperiodic tilings.Aperiodic tilings serve as mathematical models forquasicrystals, physical solids that were discovered in 1982 by Dan Shechtman who subsequently won the Nobel prize in 2011.".
- Q741518 label "Aperiodic tiling".
- Q741518 depiction Rhombus_Penrose_tiling_with_arcs.svg.