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Uniform tiling

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

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

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Expanded lists of uniform tilings

11 related topics

Overview

24 related topics

Uniform tilings of the Euclidean plane

7 related topics

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

4 related topics

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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

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Map overview Semantic statistics

Uniform tiling

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

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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 Word statistics

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Important terminology

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

Entity relationships Subject–Predicate–Object triples

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

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    Min side: 3
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