Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Uniform tiling: Expanded lists of uniform tilings, Overview & Uniform tilings of the Euclidean plane

In geometry, a uniform tiling is a tessellation of the plane by regular polygon faces with the restriction of being vertex-transitive.

Language: English [EN]
Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.
100%
More settings
100% 100% 100% 100% 100%

Uniform tiling topic overview

The analysis highlights Expanded lists of uniform tilings, Overview and Uniform tilings of the Euclidean plane as prominent areas in the source structure around Uniform tiling.

Related topics
49
Source areas
7
Connected nodes
56
Extracted relationships
22
Concept neighborhoods
36
Bridge connections
56

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 · 24 topics
Expanded lists of uniform tilings · 11 topics
Uniform tilings of the Euclidean plane · 7 topics
Uniform tilings using regular or isotoxal polygrams as nonconvex isotoxal simple polygons · 4 topics
Coxeter groups · 1 topics
Uniform tilings of the hyperbolic plane · 1 topics
Uniform tilings using convex isotoxal simple polygons · 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

Coxeter groups

Uniform tilings of the Euclidean plane

Uniform tilings of the hyperbolic plane

Expanded lists of uniform tilings

Uniform tilings using regular or isotoxal polygrams as nonconvex isotoxal simple polygons

Uniform tilings using convex isotoxal simple polygons

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 Uniform tiling connects Entity context

The extracted context around Uniform tiling shows recurring relationship patterns in the source. For example, Uniform tiling → Eric, Euclid, Euclidean, MathWorld, PlaneDavid Bailey's World, Richard, Tessellationsk-uniform, Uniform, Uniform Tessellations, Weisstein Another extracted example is Uniform tiling → Apeirogons, Pythagorean, Star, The, There, Vertex, Zigzags. Use these groups to spot repeated connection types before inspecting the individual relationships.

Uniform tiling

Top relations

related to External links · 10
Uniform tiling → Eric, Euclid, Euclidean, MathWorld, PlaneDavid Bailey's World, Richard, Tessellationsk-uniform, Uniform, Uniform Tessellations, Weisstein
related to Expanded lists of uniform tilings · 7
Uniform tiling → Apeirogons, Pythagorean, Star, The, There, Vertex, Zigzags
related to Uniform tilings of the hyperbolic plane · 2
Uniform tiling → Poincaré, There
is a · 1
Uniform tiling → tessellation of the plane by regular polygon faces with the restriction of being vertex-transitive.Uniform tilings can exist in both the Euclidean plane and hyperbolic plane
see also · 1
Uniform tiling → Wythoff

Important terminology

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

Important terminology

tilings uniform tiling domain fundamental plane symmetry regular two vertex polygons convex coxeter euclidean star vertices triangle hyperbolic isotoxal faces

Uniform tiling relationships Subject–Predicate–Object triples

TTTA extracted 22 structured relationships around Uniform tiling. Examples in this analysis include Uniform tiling → is a → tessellation of the plane by regular polygon faces with the restriction of being vertex-transitive.Uniform tilings can exist in both the Euclidean plane and hyperbolic plane and the Pythagorean tiling.Symmetry group triangles with retrogrades include → instance of → allowing additional tilings. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Uniform tilingis atessellation of the plane by regular polygon faces with the restriction of being vertex-transitive.Uniform tilings can exist in both the Euclidean plane and hyperbolic plane0.90text
the Pythagorean tiling.Symmetry group triangles with retrogrades includeinstance ofallowing additional tilings0.80text
Uniform tilingrelated to Expanded lists of uniform tilingsThere0.60section
Uniform tilingrelated to Expanded lists of uniform tilingsVertex0.60section
Uniform tilingrelated to Expanded lists of uniform tilingsStar0.60section
Uniform tilingrelated to Expanded lists of uniform tilingsApeirogons0.60section
Uniform tilingrelated to Expanded lists of uniform tilingsZigzags0.60section
Uniform tilingrelated to Expanded lists of uniform tilingsThe0.60section
Uniform tilingrelated to Expanded lists of uniform tilingsPythagorean0.60section
Uniform tilingrelated to External linksWeisstein0.60section
Uniform tilingrelated to External linksEric0.60section
Uniform tilingrelated to External linksUniform0.60section

Related concept clusters Concept neighborhoods

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

  • Uniform tiling
    • Polygons
    • Convex
    • Faces
    • List
    • Uniform
    • Two
    • Regular
    • Star
    • Vertex
    • Tilings
    • Also
    • Wythoff
  • uniform tiling
    • Polygons
    • Convex
    • Vertex
    • Configuration
    • Two
    • Also
    • Faces
    • List
    • Uniform
    • Regular
    • Star
    • One
  • regular polygon
    • Polygons
    • Convex
    • Uniform
    • Isotoxal
    • Simple
    • Tilings
    • Symmetry
    • Tiling
    • Hyperbolic
    • Also
    • Star
    • Truncation
  • euclidean plane
    • Hyperbolic
    • Euclidean
    • Plane
    • Uniform
    • Triangles
    • Coxeter
    • Fundamental
    • Reflection
    • Regular
    • Wythoff
    • Symmetry
    • Tilings
  • hyperbolic plane
    • Hyperbolic
    • Plane
    • Euclidean
    • Wythoff
    • Uniform
    • Symmetry
    • Convex
    • Fundamental
    • Reflection
    • Regular
    • Tilings
    • Polygons
  • uniform polyhedra
    • Polygons
    • Convex
    • List
    • Two
    • Star
    • Vertex
    • Also
    • Wythoff
    • Al
    • Configuration
    • Et
    • Grünbaum
  • symmetry group
    • Group
    • Symmetry
    • Domain
    • Fundamental
    • Reflection
    • Wythoff
    • Different
    • Triangles
    • Also
    • Vertices
    • Tilings
    • Convex
  • fundamental domain
    • Domain
    • Fundamental
    • Group
    • Symmetry
    • Triangles
    • Right
    • Reflection
    • Diagram
    • Triangle
    • Plane
    • Wythoff
    • Hyperbolic

Connections between topic areas Semantic bridges

For Uniform tiling, one of the stronger structural bridges in this analysis connects Uniform 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
Uniform tilingOverview · splits 32 ⟂ 25
Uniform tilingExpanded lists of uniform tilings · splits 45 ⟂ 12
Uniform tilingUniform tilings of the Euclidean plane · splits 49 ⟂ 8
Uniform tilingUniform tilings using regular or isotoxal polygrams as nonconvex isotoxal simple polygons · splits 52 ⟂ 5

Map overview Semantic statistics

Uniform tiling

Nodes57
Edges56
Triples22
Avg. degree1.96
Density0.035088
Components1

Source & methodology

TTTA analyzes the structure around Uniform tiling to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Expanded lists of uniform tilings, Overview & Uniform tilings of the Euclidean plane, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

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

For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.