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Quasicrystal: History & Applications

A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational symmetry. While crystals, according to the classical crystallographic restriction theorem, can possess only two-, three-, four-, and six-fold rotational symmetries, the…

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Quasicrystal topic overview

The analysis highlights History and Applications as prominent areas in the source structure around Quasicrystal.

Related topics
115
Source areas
5
Connected nodes
120
Extracted relationships
139
Concept neighborhoods
27
Bridge connections
120

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

History · 30 topics
Materials science · 28 topics
Overview · 28 topics
Mathematics · 22 topics
Non-material science applications · 7 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

History

Mathematics

Materials science

Non-material science applications

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Quasicrystal connects Entity context

The extracted context around Quasicrystal shows recurring relationship patterns in the source. For example, Quasicrystal → Al-Attarine Madrasa, Alamogordo, Alan Mackay, Around, As, Darb-e Imam, Fourier, Gunbad-i-Kabud, Hao Wang, He, Identified, In, Islamic, Nevertheless, New Mexico, On July, One, Penrose, Robert Ammann, Robert Berger Another extracted example is Quasicrystal → Ag, Al, Cd, Co, Cu, Dan Shechtman, Fe, Ho, Icosahedral, In, Li, Mg, Mn, Ni, Pd, Quasicrystals, Sc, Si, Since, The. Use these groups to spot repeated connection types before inspecting the individual relationships.

Quasicrystal

Top relations

related to history · 26
Quasicrystal → Al-Attarine Madrasa, Alamogordo, Alan Mackay, Around, As, Darb-e Imam, Fourier, Gunbad-i-Kabud, Hao Wang, He, Identified, In, Islamic, Nevertheless, New Mexico, On July, One, Penrose, Robert Ammann, Robert Berger
related to Materials science · 26
Quasicrystal → Ag, Al, Cd, Co, Cu, Dan Shechtman, Fe, Ho, Icosahedral, In, Li, Mg, Mn, Ni, Pd, Quasicrystals, Sc, Si, Since, The
related to Further reading · 23
Quasicrystal → AMS, Annual Review, Bibcode, Common, Gateways, Japaridze, Khodel, Kramer, Marjorie, Msezane, Notices, PDF, Peter, Physical Chemistry, Physical Review, PhysRevB, PMID, Popov, Quasicrystal Surfaces, Senechal
related to External links · 20
Quasicrystal → Archived, Conversation, Cut, Description, Documentary, Fold Instructions Space-filling, Ideas Roadshow, Indiana Steinhardt, LifshitzQuasicrystals, Literature, Partial Bibliography, Paul Steinhardt, Quasicrystals, QuasicrystalsQuasicrystal Blocks, Quest, Stuttgart, University, Wayback Machine, Wayback MachineQuasicrystal Research, WeberSteinhardt's
related to Mathematics · 17
Quasicrystal → Bohl, Bohr, De Bruijn, Equivalently, Escanglon, Fourier, Harald Bohr, He, In, Niels Bohr, One, Penrose, Peter Kramer, Roberto Neri, The, There, These
has application · 11
Quasicrystal → Also, And, Applications, David Smith, Metallic, Of, Poisson's, Quasicrystalline, Recent, The, These
see also · 11
Quasicrystal → Aperiodic, Binary, Collective, Covering, Crystal, Fibonacci, Five, Polyhedra, Scientific, State, Structure

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

quasicrystals symmetry diffraction aperiodic shechtman structure quasicrystalline also crystals pattern crystallography periodic found patterns icosahedral two crystal materials first study

Quasicrystal relationships Subject–Predicate–Object triples

TTTA extracted 139 structured relationships around Quasicrystal. Examples in this analysis include the Gunbad-i-Kabud tomb tower → instance of → HistoryThe first representations of perfect quasicrystalline patterns can be found in several early Islamic works of art and architecture and Si → instance of → as evidenced by X-ray and electron diffraction revealing peak widths as sharp as those of perfect crystals. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
the Gunbad-i-Kabud tomb towerinstance ofHistoryThe first representations of perfect quasicrystalline patterns can be found in several early Islamic works of art and architecture0.80text
the Darb-e Imam shrineinstance ofHistoryThe first representations of perfect quasicrystalline patterns can be found in several early Islamic works of art and architecture0.80text
the Al-Attarine Madrasainstance ofHistoryThe first representations of perfect quasicrystalline patterns can be found in several early Islamic works of art and architecture0.80text
Siinstance ofas evidenced by X-ray and electron diffraction revealing peak widths as sharp as those of perfect crystals0.80text
Alinstance ofMagnetron sputtering can be readily applied to other stable quasicrystalline alloys0.80text
Quasicrystalhas applicationQuasicrystalline0.60section
Quasicrystalhas applicationMetallic0.60section
Quasicrystalhas applicationThe0.60section
Quasicrystalhas applicationRecent0.60section
Quasicrystalhas applicationApplications0.60section
Quasicrystalhas applicationAlso0.60section
Quasicrystalhas applicationOf0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Quasicrystal bring nearby vocabulary together. In this analysis, examples include Structures, Steinhardt and Icosahedrite. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Quasicrystal
    • Structures
    • Steinhardt
    • Icosahedrite
    • Materials
    • Study
    • Two
    • First
    • Found
    • Structure
    • Aperiodic
    • Symmetry
    • Quasicrystals
  • quasicrystal
    • Structures
    • Steinhardt
    • Icosahedrite
    • Materials
    • Study
    • Two
    • First
    • Found
    • Structure
    • Aperiodic
    • Symmetry
    • Quasicrystals
  • bragg diffraction
    • Pattern
    • Patterns
    • Three
    • Study
    • One
    • Symmetry
    • Crystallography
    • Material
    • Later
    • Observed
    • Two
    • Structure
  • aperiodic tilings
    • Crystallography
    • Discovered
    • Produced
    • Found
    • Properties
    • Type
    • Crystal
    • Materials
    • Structures
    • Study
    • Pattern
    • Icosahedral
  • electron diffraction
    • Pattern
    • Patterns
    • Three
    • Study
    • One
    • Symmetry
    • Crystallography
    • Material
    • Later
    • Observed
    • Two
    • Structure
  • aperiodic monotile
    • Crystallography
    • Discovered
    • Produced
    • Found
    • Properties
    • Type
    • Crystal
    • Materials
    • Structures
    • Study
    • Pattern
    • Icosahedral
  • crystal
    • Crystallography
    • Pattern
    • Structure
    • Type
    • Diffraction
    • Materials
    • Study
    • One
    • Periodic
    • Crystals
    • Aperiodic
    • Discovery
  • crystal twinning
    • Crystallography
    • Pattern
    • Structure
    • Type
    • Diffraction
    • Materials
    • Study
    • One
    • Periodic
    • Crystals
    • Aperiodic
    • Discovery

Connections between topic areas Semantic bridges

For Quasicrystal, one of the stronger structural bridges in this analysis connects Quasicrystal with History. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
QuasicrystalHistory · splits 90 ⟂ 31
QuasicrystalOverview · splits 92 ⟂ 29
QuasicrystalMaterials science · splits 92 ⟂ 29
QuasicrystalMathematics · splits 98 ⟂ 23
QuasicrystalNon-material science applications · splits 113 ⟂ 8

Map overview Semantic statistics

Quasicrystal

Nodes121
Edges120
Triples139
Avg. degree1.98
Density0.016529
Components1

Source & methodology

TTTA analyzes the structure around Quasicrystal to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History & Applications, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Quasicrystal · EN edition · Analysis: TopicsToTalkAbout

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