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Example of an Egyptian design with wallpaper group p4m. 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 ...
Solid geometry, including table of major three-dimensional shapes; Box-drawing character; Cuisenaire rods (learning aid) Geometric shape; Geometric Shapes (Unicode block) Glossary of shapes with metaphorical names; List of symbols; Pattern Blocks (learning aid)
A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern (an aperiodic set of prototiles). A tessellation of space, also known as a space filling or honeycomb, can be defined in the geometry of higher dimensions.
Symmetries are central to the art of M.C. Escher and the many applications of tessellation in art and craft forms such as wallpaper, ceramic tilework such as in Islamic geometric decoration, batik, ikat, carpet-making, and many kinds of textile and embroidery patterns. [46] Symmetry is also used in designing logos. [47]
A pattern is a regularity in the world, in human-made design, [1] or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.
Name Images Chinese characters Border Gong (工; work) and bats Decorative Floral and twines Grass pattern Tang caowen [4] Twined branches Chanzhiwen [4] Curves Pommel pattern Guri (屈輪) / Pommel scroll [21] Geometric Diagonal Diagonal straight lines Lishui: Diagonal wavy lines Semicricles Horizontal semi-circles Woshui Curvilinear Swirl [4 ...
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The name hexafoil is sometimes also used to refer to a different geometric design that is used as a traditional element of Gothic architecture, [21] created by overlapping six circular arcs to form a flower-like image. [22] [23] The hexafoil design is modeled after the six petal lily, for its symbolism of purity and relation to the Trinity. [24]