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Geometric abstraction is present among many cultures throughout history both as decorative motifs and as art pieces themselves. Islamic art, in its prohibition of depicting religious figures, is a prime example of this geometric pattern-based art, which existed centuries before the movement in Europe and in many ways influenced this Western school.
Abstraction in mathematics is the process of extracting the underlying structures, patterns or properties of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena.
Both geometric abstraction and lyrical abstraction are often totally abstract. Among the very numerous art movements that embody partial abstraction would be for instance fauvism in which color is conspicuously and deliberately altered vis-a-vis reality, and cubism, which alters the forms of the real-life entities depicted. [3] [4]
Abstraction requires selective use of this structural split of abilities in the psyche. The opposite of abstraction is concretism. Abstraction is one of Jung's 57 definitions in Chapter XI of Psychological Types. There is an abstract thinking, just as there is abstract feeling, sensation and intuition. Abstract thinking singles out the rational ...
In ancient Greek mathematics, "space" was a geometric abstraction of the three-dimensional reality observed in everyday life. About 300 BC, Euclid gave axioms for the properties of space. Euclid built all of mathematics on these geometric foundations, going so far as to define numbers by comparing the lengths of line segments to the length of a ...
Four Abstract Classicists was renamed West Coast Hard-edge by British art critic and curator Lawrence Alloway when it traveled to the Institute of Contemporary Arts in London, where Alloway was assistant director, and Queen's University in Belfast. The term came into broader use after Alloway used it to describe contemporary American geometric ...
A mathematical object is an abstract concept arising in mathematics. [1] Typically, a mathematical object can be a value that can be assigned to a symbol, and therefore can be involved in formulas.
Concrete art was an art movement with a strong emphasis on geometrical abstraction. The term was first formulated by Theo van Doesburg and was then used by him in 1930 to define the difference between his vision of art and that of other abstract artists of the time.