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Aperiodic tiling

In the mathematics of tessellations, a non-periodic tiling is a tiling that does not have any translational symmetry. An aperiodic set of prototiles is a set of tile-types that can tile, but only non-periodically. The tilings produced by one of these sets of prototiles may be called aperiodic tilings.

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Aperiodic tiling

Nodes58
Edges57
Triples57
Avg. degree1.97
Density0.034483
Components1

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Aperiodic tiling

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related to history · 23
Aperiodic tiling → Aperiodic, Berger, Chaim Goodman-Strauss, Craig, Darb-i Imam, David Smith, Hans Läuchli, Hao Wang, In, Iran, Islamic, It, Joseph Samuel Myers, Kaplan, Penrose, Raphael, Robert Ammann, Robert Berger, Robinson, Roger Penrose
related to Physics · 14
Aperiodic tiling → Aperiodic, Cd, Dan Shechtman, Faraday, Gummelt's, In, Penrose, Photonic, Quasicrystal, Robert Ammann, Sometimes, Steinhardt, Te, The
related to Definition and illustration · 7
Aperiodic tiling → But, Consider, Formally, In, Now, Penrose, The
related to Constructions · 5
Aperiodic tiling → Despite, However, Some, The, There
related to Substitutions · 4
Aperiodic tiling → For, However, Substitution, These
related to External links · 3
Aperiodic tiling → Infinite Pattern That Never, Repeats, The Geometry JunkyardAperiodic TilingsThe

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aperiodic tilings tiling tiles substitution set one structure sets matching penrose prototiles rules non-periodic tile periodic found example hierarchical also

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SubjectPredicateObjectConfidenceSrc
the Darb-i Imam shrine in Iraninstance ofHistoryAperiodic tilings have been observed in Islamic decorations in locations0.80text
Aperiodic tilingrelated to ConstructionsThere0.60section
Aperiodic tilingrelated to ConstructionsSome0.60section
Aperiodic tilingrelated to ConstructionsThe0.60section
Aperiodic tilingrelated to ConstructionsDespite0.60section
Aperiodic tilingrelated to ConstructionsHowever0.60section
Aperiodic tilingrelated to Definition and illustrationConsider0.60section
Aperiodic tilingrelated to Definition and illustrationNow0.60section
Aperiodic tilingrelated to Definition and illustrationThe0.60section
Aperiodic tilingrelated to Definition and illustrationBut0.60section
Aperiodic tilingrelated to Definition and illustrationPenrose0.60section
Aperiodic tilingrelated to Definition and illustrationIn0.60section

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