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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.
The architects Michael Ostwald and Kim Williams, considering the relationships between architecture and mathematics, note that the fields as commonly understood might seem to be only weakly connected, since architecture is a profession concerned with the practical matter of making buildings, while mathematics is the pure study of number and ...
Pattern in architecture is the idea of capturing architectural design ideas as archetypal and reusable descriptions. The term pattern in this context is usually attributed to Christopher Alexander, [1] an Austrian born American architect. The patterns serve as an aid to design cities and buildings. The concept of having collections of "patterns ...
Examples of frieze patterns. In mathematics, a frieze or frieze pattern is a two-dimensional design that repeats in one direction. The term is derived from architecture and decorative arts, where such repeating patterns are often used. (See frieze.) Frieze patterns can be classified into seven types according to their symmetries.
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.
In mathematics, a fractal is a ... This exhibition of similar patterns at increasingly smaller scales is ... divination, trade, and architecture. Circular houses ...
Pattern (architecture), a standard form (pattern language) for a solution to common problems in architecture; Software design pattern (see above) Pattern formation, the processes and mechanisms by which patterns such as the stripes of animals form; also, a science dealing with outcomes of self-organisation; Pattern language, a structured method ...
Three examples of Turing patterns Six stable states from Turing equations, the last one forms Turing patterns. The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state.