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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 .
Kali, a free and open source software application for wallpaper, frieze and other patterns. Kali Archived 2020-11-21 at the Wayback Machine , free downloadable Kali for Windows and Mac Classic. Tess , a nagware tessellation program for multiple platforms, supports all wallpaper, frieze, and rosette groups, as well as Heesch tilings.
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.
Glide-reflection symmetry is seen in frieze groups (patterns which repeat in one dimension, often used in decorative borders), wallpaper groups (regular tessellations of the plane), and space groups (which describe e.g. crystal symmetries).
Charles Francis Annesley Voysey FRIBA RDI [2] (28 May 1857 – 12 February 1941) was an English architect and furniture and textile designer.Voysey's early work was as a designer of wallpapers, fabrics and furnishings in a Arts and Crafts style and he made important contribution to the Modern Style (British Art Nouveau style), and was recognized by the seminal The Studio magazine. [3]
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 ...