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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 .
Modern blacksmiths use scrolls in ornamental wrought-iron work gates and balustrades, and they have formed the basis of many wallpaper designs. Applications of single scroll forms can be seen in the volutes at the head of an Ionic column , the carved scroll at the end of the pegbox on instruments in the violin family (resembling fiddleheads in ...
In ancient Greece they appear in many architectural friezes, and in bands on the pottery of ancient Greece from the Geometric period onward. The design is common to the present-day in classicizing architecture, and is adopted frequently as a decorative motif for borders for many modern printed materials.
Most wallpaper borders are sold by length and with a wide range of widths therefore surface area is not applicable, although some may require trimming. The most common wall covering for residential use and generally the most economical is prepasted vinyl coated paper, commonly called "strippable" which can be misleading. Cloth backed vinyl is ...
Chinese lattices, always with some symmetry, exist in 14 of the 17 wallpaper groups; they often have mirror, double mirror, or rotational symmetry. Some have a central medallion, and some have a border in a frieze group. [63] Many Chinese lattices have been analysed mathematically by Daniel S. Dye; he identifies Sichuan as the centre of the ...
The central panel is geometric while the western one is seriously damaged but it has been suggested that it depicted Daniel in the lion's den. The Roman synagogue in Ein Gedi was remodeled in the Byzantine era and a more elaborate mosaic floor was laid down above the older white panels. The usual geometric design was enriched with birds in the ...