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Trihexagonal tiling: Kagome lattice, Symmetry & Overview

In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons. It consists of equilateral triangles and regular hexagons, arranged so that each hexagon is surrounded by triangles and vice versa. The name derives from the fact that it combines a regular hexagonal tiling and a regular triangular tiling. Two…

Language: English [EN]
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Trihexagonal tiling topic overview

The analysis highlights Kagome lattice, Symmetry and Overview as prominent areas in the source structure around Trihexagonal tiling.

Related topics
51
Source areas
6
Connected nodes
57
Extracted relationships
27
Concept neighborhoods
31
Bridge connections
57

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.

Overview · 16 topics
Kagome lattice · 14 topics
Symmetry · 11 topics
Kagome · 6 topics
Related regular complex apeirogons · 3 topics
Related quasiregular tilings · 1 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

Kagome

Kagome lattice

Symmetry

Related quasiregular tilings

Related regular complex apeirogons

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 Trihexagonal tiling connects Entity context

The extracted context around Trihexagonal tiling shows recurring relationship patterns in the source. For example, Trihexagonal tiling → Despite, Ichirō Shōji, It, Japanese, Kôdi Husimi, The Another extracted example is Trihexagonal tiling → Coxeter, It, Its, Schläfli, The, Wythoff. Use these groups to spot repeated connection types before inspecting the individual relationships.

Trihexagonal tiling

Top relations

related to Kagome lattice · 6
Trihexagonal tiling → Despite, Ichirō Shōji, It, Japanese, Kôdi Husimi, The
related to Symmetry · 6
Trihexagonal tiling → Coxeter, It, Its, Schläfli, The, Wythoff
related to Related regular complex apeirogons · 4
Trihexagonal tiling → Edges, Regular, The, There
related to Related quasiregular tilings · 3
Trihexagonal tiling → Euclidean, The, With
related to Uniform colorings · 3
Trihexagonal tiling → Naming, The, There
related to Circle packing · 2
Trihexagonal tiling → Every, The
related to Topologically equivalent tilings · 2
Trihexagonal tiling → In, The
is a · 1
Trihexagonal tiling → quasiregular tiling

Important terminology

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

Important terminology

tiling kagome regular lattice trihexagonal two edges pattern tilings uniform hexagonal vertex japanese vertices called triangles symmetry also triangular arrangement

Trihexagonal tiling relationships Subject–Predicate–Object triples

TTTA extracted 27 structured relationships around Trihexagonal tiling. Examples in this analysis include Trihexagonal tiling → is a → quasiregular tiling and Trihexagonal tiling → related to Circle packing → The. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Trihexagonal tilingis aquasiregular tiling0.90text
Trihexagonal tilingrelated to Circle packingThe0.60section
Trihexagonal tilingrelated to Circle packingEvery0.60section
Trihexagonal tilingrelated to Kagome latticeThe0.60section
Trihexagonal tilingrelated to Kagome latticeJapanese0.60section
Trihexagonal tilingrelated to Kagome latticeKôdi Husimi0.60section
Trihexagonal tilingrelated to Kagome latticeIchirō Shōji0.60section
Trihexagonal tilingrelated to Kagome latticeDespite0.60section
Trihexagonal tilingrelated to Kagome latticeIt0.60section
Trihexagonal tilingrelated to Related quasiregular tilingsThe0.60section
Trihexagonal tilingrelated to Related quasiregular tilingsEuclidean0.60section
Trihexagonal tilingrelated to Related quasiregular tilingsWith0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Trihexagonal tiling bring nearby vocabulary together. In this analysis, examples include Trihexagonal, Tilings and Uniform. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Trihexagonal tiling
    • Trihexagonal
    • Tilings
    • Uniform
    • Vertices
    • Two
    • Plane
    • Quasiregular
    • Honeycomb
    • Vertex
    • Kagome
    • Triangular
    • Edges
  • trihexagonal tiling
    • Trihexagonal
    • Hexagonal
    • Tilings
    • Uniform
    • Vertices
    • Two
    • Regular
    • Plane
    • Quasiregular
    • Honeycomb
    • Vertex
    • Kagome
  • by regular polygons
    • Vertices
    • Apeirogons
    • Complex
    • Edges
    • Uniform
    • Name
    • Tiling
    • Also
    • Honeycomb
    • Hexagonal
    • Tilings
    • Lattice
  • regular hexagons
    • Triangles
    • Vertices
    • Apeirogons
    • Alternate
    • Complex
    • Around
    • Arrangement
    • Edges
    • Form
    • Lines
    • Uniform
    • Name
  • hexagonal tiling
    • Trihexagonal
    • Triangular
    • Second
    • Hexagonal
    • Tiling
    • Two
    • Regular
    • Uniform
    • Alternate
    • Tilings
    • Around
    • Name
  • triangular tiling
    • Trihexagonal
    • Hexagonal
    • Two
    • Regular
    • Uniform
    • Tilings
    • Vertex
    • Plane
    • Quasiregular
    • Triangular
    • Triangles
    • Symmetry
  • rhombille tiling
    • Trihexagonal
    • Hexagonal
    • Two
    • Regular
    • Uniform
    • Tilings
    • Plane
    • Quasiregular
    • Triangular
    • Triangles
    • Symmetry
    • Vertex
  • mathematical lattice
    • Dimensional
    • Term
    • Two
    • Name
    • Also
    • Points
    • Pattern
    • Vertices
    • Regular
    • Bamboo
    • Circle
    • Complex

Connections between topic areas Semantic bridges

For Trihexagonal tiling, one of the stronger structural bridges in this analysis connects Trihexagonal tiling with Overview. 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
Trihexagonal tiling — Overview · splits 41 ⟂ 17
Trihexagonal tiling — Kagome lattice · splits 43 ⟂ 15
Trihexagonal tiling — Symmetry · splits 46 ⟂ 12
Trihexagonal tiling — Kagome · splits 51 ⟂ 7
Trihexagonal tiling — Related regular complex apeirogons · splits 54 ⟂ 4

Map overview Semantic statistics

Trihexagonal tiling

Nodes58
Edges57
Triples27
Avg. degree1.97
Density0.034483
Components1

Source & methodology

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

Source: Wikipedia — Trihexagonal tiling · EN edition · Analysis: TopicsToTalkAbout

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