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Hexagonal tiling

In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling).

Applications, Structure and properties & Related tilings

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Explore the main themes, entities and connections around Hexagonal tiling. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Key facts & relationships

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Dual
triangular tiling
Properties
vertex-transitive, edge-transitive, face-transitive
Tile
regular hexagon
Type
regular tiling
Vertex configuration
6.6.6
Wallpaper group
p6m

Topics to explore

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Overview

Structure and properties

Applications

Uniform colorings

Related tilings

Monohedral convex hexagonal tilings

Topologically equivalent tilings

Circle packing

Related regular complex apeirogons

Aside Euclidean plane

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.

Map overview Semantic statistics

Hexagonal tiling

Nodes70
Edges69
Triples49
Avg. degree1.97
Density0.028571
Components1

How this topic connects Entity context

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Hexagonal tiling

Top relations

has application · 10
Hexagonal tiling → However, If, Kelvin, Lord Kelvin, Phelan, Silicene, The, They, Tubular, Weaire
related to Topologically equivalent tilings · 6
Hexagonal tiling → Colors, Hexagonal, Other, Single-color, Symmetry, With
related to Structure and properties · 5
Hexagonal tiling → Each, Every, From, In, The
related to Monohedral convex hexagonal tilings · 4
Hexagonal tiling → Each, There, They, Type
related to Related regular complex apeirogons · 4
Hexagonal tiling → Edges, Regular, The, There
related to Uniform colorings · 4
Hexagonal tiling → Goldberg, The, There, Wythoff
related to Symmetry mutations · 3
Hexagonal tiling → Coxeter, Schläfli, This
related to Circle packing · 2
Hexagonal tiling → Every, The
related to Related tilings · 2
Hexagonal tiling → The, This
Dual · 1
Hexagonal tiling → triangular tiling

Important terminology Word statistics

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Important terminology

hexagonal tiling regular tilings three hexagons vertex symmetry triangular structure uniform hexagon tessellation two packing also plane mathworld truncated vertices

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hexagonal tilingDualtriangular tiling1.00infobox
Hexagonal tilingPropertiesvertex-transitive, edge-transitive, face-transitive1.00infobox
Hexagonal tilingTileregular hexagon1.00infobox
Hexagonal tilingTyperegular tiling1.00infobox
Hexagonal tilingVertex configuration6.6.61.00infobox
Hexagonal tilingWallpaper groupp6m1.00infobox
Hexagonal tilingis abest way to divide a surface into regions of equal area with the least total perimeter0.90text
Hexagonal tilinghas applicationIf0.60section
Hexagonal tilinghas applicationThe0.60section
Hexagonal tilinghas applicationLord Kelvin0.60section
Hexagonal tilinghas applicationKelvin0.60section
Hexagonal tilinghas applicationHowever0.60section

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    Min side: 3
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