Wallpaper group

A wallpaper group is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries Symmetry

Symmetry is a characteristic feature of geometrical [i] shapes, system [i]s, equation [i]s, and ... 

 in the pattern. Such patterns occur frequently in architecture Architecture

* Architectural history [i] * Architectural mythology [i] ... 

 and decorative art Decorative art

[i], [[wood]... 

. There are 17 possible distinct groups. Wallpaper groups are two-dimensional symmetry groups, intermediate in complexity between the one-dimensional frieze group Frieze group

A frieze group is a mathematical concept to classify designs on two-dimensional surfaces which are repet... 

s and the three-dimensional crystallographic groups.

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Encyclopedia

A wallpaper group is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries Symmetry

Symmetry is a characteristic feature of geometrical [i] shapes, system [i]s, equation [i]s, and ... 

 in the pattern. Such patterns occur frequently in architecture Architecture

* Architectural history [i]
  • Architectural mythology [i]

... 

 and decorative art Decorative art

[i], [[wood]... 

. There are 17 possible distinct groups.
Wallpaper groups are two-dimensional symmetry groups, intermediate in complexity between the one-dimensional frieze group Frieze group

A frieze group is a mathematical concept to classify designs on two-dimensional surfaces which are repet... 

s and the three-dimensional crystallographic groups.
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