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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.
The analysis highlights History, Constructions and Physics as prominent areas in the source structure around Aperiodic tiling.
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The extracted context around Aperiodic tiling shows recurring relationship patterns in the source. For example, Aperiodic tiling → Aperiodic, Berger, Chaim Goodman-Strauss, Craig, Darb-i Imam, David Smith, Hans Läuchli, Hao Wang, Iran, Islamic, Joseph Samuel Myers, Kaplan, Penrose, Raphael, Robert Ammann, Robert Berger, Robinson, Roger Penrose, Wang Another extracted example is Aperiodic tiling → Aperiodic, Cd, Dan Shechtman, Faraday, Gummelt's, Penrose, Photonic, Quasicrystal, Robert Ammann, Sometimes, Steinhardt, Te. Use these groups to spot repeated connection types before inspecting the individual relationships.
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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
TTTA extracted 38 structured relationships around Aperiodic tiling. Examples in this analysis include the Darb-i Imam shrine in Iran → instance of → HistoryAperiodic tilings have been observed in Islamic decorations in locations and Aperiodic tiling → related to Constructions → Despite. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| the Darb-i Imam shrine in Iran | instance of | HistoryAperiodic tilings have been observed in Islamic decorations in locations | 0.80 | text |
| Aperiodic tiling | related to Constructions | Despite | 0.60 | section |
| Aperiodic tiling | related to Definition and illustration | Consider | 0.60 | section |
| Aperiodic tiling | related to Definition and illustration | Now | 0.60 | section |
| Aperiodic tiling | related to Definition and illustration | Penrose | 0.60 | section |
| Aperiodic tiling | related to Definition and illustration | Formally | 0.60 | section |
| Aperiodic tiling | related to history | Aperiodic | 0.60 | section |
| Aperiodic tiling | related to history | Islamic | 0.60 | section |
| Aperiodic tiling | related to history | Darb-i Imam | 0.60 | section |
| Aperiodic tiling | related to history | Iran | 0.60 | section |
| Aperiodic tiling | related to history | Penrose | 0.60 | section |
| Aperiodic tiling | related to history | Hao Wang | 0.60 | section |
The concept neighborhoods around Aperiodic tiling bring nearby vocabulary together. In this analysis, examples include Tilings, Tiles and Set. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Aperiodic tiling, one of the stronger structural bridges in this analysis connects Aperiodic tiling with Constructions. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Aperiodic tiling to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History, Constructions & Physics, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Aperiodic tiling · EN edition · Analysis: TopicsToTalkAbout
