File:Endlessly interlaced pentagons and some translations.svg

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Captions

Captions

On repetitive drawings made by congruent golden triangles,  regular pentagons endlessly interlaced constitute a wallpaper,  unchanged under six translations represented by thirteen arrows,  with their names inscribed depending on T and U.

Summary

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Description
English: A wallpaper is invariant under an infinite number of translations, members of a group, of which the operation denoted is the function composition. A classification of wallpapers is exposed on “Wallpaper group”, according to the group of isometries under which a given wallpaper is invariant.
Français : Une infinité de translations transforment un papier peint en lui‑même. Elles appartiennent à un groupe, dont l’opération est la composition de fonctions. La page “Groupe de papier peint” expose une classification de papiers peints, selon le groupe des isométries qui transforment en lui‑même un papier peint donné.
Date
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Author Arthur Baelde
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Arthur Baelde, the copyright holder of this work, hereby publishes it under the following license:
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Attribution: Arthur Baelde
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