Groups are registered in the catalog by examining properties of a parallelogram, edge‑to‑edge with its replicas.
It may be added that a well‑known theorem deals with colors.
#WALLPAPER LATTICE PATTERN CODE#
Certainly a color is perceived subjectively whereas a wallpaper is an ideal object, however any color can be seen as a label that characterizes certain surfaces, we might think of a hexadecimal code of color as a label specific to certain zones. represents the same wallpaper on the following image 4, by disregarding the colors. For example image 1 shows two models of repetitive squares in two different positions, which have equal areas of a.
Such pseudo‑tilings connected to a given wallpaper are in infinite number. Such repeated boundaries delineate a repetitive surface added here in dashed lines. Conversely, from every wallpaper we can construct such a tiling by identical tiles edge‑to‑edge, which bear each identical ornaments, the identical outlines of these tiles being not necessarily visible on the original wallpaper. More particularly, we can consider as a wallpaper a tiling by identical tiles edge‑to‑edge, necessarily periodic, and conceive from it a wallpaper by decorating in the same manner every tiling element, and eventually erase partly or entirely the boundaries between these tiles. Any periodic tiling can be seen as a wallpaper.
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