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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 .
The symmetry groups are named here by three naming schemes: International notation, orbifold notation, and Coxeter notation. There are three kinds of symmetry groups of the plane: 2 families of rosette groups – 2D point groups; 7 frieze groups – 2D line groups; 17 wallpaper groups – 2D space groups.
Roblox (/ ˈ r oʊ b l ɒ k s / ⓘ, ROH-bloks) is an online game platform and game creation system developed by Roblox Corporation that allows users to program and play games created by themselves or other users. It was created by David Baszucki and Erik Cassel in 2004, and released to the public in 2006. As of August 2020, the platform has ...
Former Roblox headquarters, now occupied by Guidewire Software. Roblox Corporation (/ ˈ r oʊ b l ɒ k s / ROH-bloks) is an American video game developer based in San Mateo, California. Founded in 2004 by David Baszucki and Erik Cassel, the company is the developer of Roblox, which was released in 2006.
"A wallpaper group or plane crystallographic group is a type of topologically discrete group of isometries of the Euclidean plane which contains two linearly independent translations." Everything is explained, except for the "type of".
Dress to Impress is a multiplayer dress-up video game developed for the game platform Roblox created by the Dress to Impress Group and it was released in October 2023. By mid-2024, the game had become a viral phenomenon online even with non-Roblox players.
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In mathematics, a layer group is a three-dimensional extension of a wallpaper group, with reflections in the third dimension. It is a space group with a two-dimensional lattice, meaning that it is symmetric over repeats in the two lattice directions.