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Wallpaper group

A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art, especially in textiles, tiles, and wallpaper.

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Overview

Symmetries of patterns

Formal definition and discussion

The seventeen groups

Lattice types

Symmetry groups

Dependence of wallpaper groups on transformations

Web demo and software

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Map overview Semantic statistics

Wallpaper group

Nodes151
Edges150
Triples86
Avg. degree1.99
Density0.013245
Components1

How this topic connects Entity context

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Wallpaper group

Top relations

related to Web demo and software · 20
Wallpaper group → Adobe Illustrator, EscherSketch, Heesch, Inkscape, Java, JavaScript, Kali, Kali Archived, Mac Classic, MadPattern, Repper, See, Several, SymmetryWorks, TALES GAME, The, Usually, Wallpaper Symmetry, Wayback Machine, Windows
related to Group p3m1 (*333) · 11
Wallpaper group → D3The, For, In, It, Lattice, Like, Orbifold, The, Then, There, This
related to Group p31m (3*3) · 10
Wallpaper group → D3The, For, In, It, Lattice, Like, Orbifold, Then, There, This
related to Group p3 (333) · 8
Wallpaper group → C3The, For, Imagine, In, Lattice, Orbifold, Then, This
related to Dependence of wallpaper groups on transformations · 7
Wallpaper group → It, Note, Reflection, Rotational, Such, The, Translational
related to Lattice types · 7
Wallpaper group → Bravais, In, It, Special, The, There, They
related to Why there are exactly seventeen groups · 7
Wallpaper group → An, Because, Euler, If, Reversing, The, When
related to Formal definition and discussion · 5
Wallpaper group → Euclidean, Mathematically, The, Thus, Two
related to The independent translations condition · 5
Wallpaper group → In, R2, The, Tv, Tw
related to Symmetry groups · 4
Wallpaper group → The, There, These, Wallpaper

Important terminology Word statistics

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Important terminology

group symmetry wallpaper rotation orbifold groups lattice reflection two reflections order one notation pattern glide centres point translation translations plane

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Wallpaper grouprelated to Dependence of wallpaper groups on transformationsThe0.60section
Wallpaper grouprelated to Dependence of wallpaper groups on transformationsTranslational0.60section
Wallpaper grouprelated to Dependence of wallpaper groups on transformationsRotational0.60section
Wallpaper grouprelated to Dependence of wallpaper groups on transformationsReflection0.60section
Wallpaper grouprelated to Dependence of wallpaper groups on transformationsIt0.60section
Wallpaper grouprelated to Dependence of wallpaper groups on transformationsNote0.60section
Wallpaper grouprelated to Dependence of wallpaper groups on transformationsSuch0.60section
Wallpaper grouprelated to Formal definition and discussionMathematically0.60section
Wallpaper grouprelated to Formal definition and discussionEuclidean0.60section
Wallpaper grouprelated to Formal definition and discussionTwo0.60section
Wallpaper grouprelated to Formal definition and discussionThus0.60section
Wallpaper grouprelated to Formal definition and discussionThe0.60section

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