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  2. Fourth dimension in art - Wikipedia

    en.wikipedia.org/wiki/Fourth_dimension_in_art

    In the piece, Weber states, [7] "In plastic art, I believe, there is a fourth dimension which may be described as the consciousness of a great and overwhelming sense of space-magnitude in all directions at one time, and is brought into existence through the three known measurements." Another influence on the School of Paris was that of Jean ...

  3. Mathematics and art - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_art

    Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles. This article focuses, however, on mathematics in the visual arts. Mathematics and art have a long historical relationship.

  4. Space (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Space_(mathematics)

    Space (mathematics) In mathematics, a space is a set (sometimes known as a universe) with a definition ( structure) of relationships among the elements of the set. While modern mathematics uses many types of spaces, such as Euclidean spaces, linear spaces, topological spaces, Hilbert spaces, or probability spaces, it does not define the notion ...

  5. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    Four-dimensional space ( 4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.

  6. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    Tessellation. A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern.

  7. Euclidean space - Wikipedia

    en.wikipedia.org/wiki/Euclidean_space

    A point in three-dimensional Euclidean space can be located by three coordinates. Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any positive integer ...

  8. Geometrical-optical illusions - Wikipedia

    en.wikipedia.org/wiki/Geometrical-optical_illusions

    In studying geometry one concentrates on the position of points and on the length, orientation and curvature of lines. Geometrical–optical illusions then relate in the first instance to object characteristics as defined by geometry. Though vision is three-dimensional, in many situations depth can be factored out and attention concentrated on ...

  9. Quadrivium - Wikipedia

    en.wikipedia.org/wiki/Quadrivium

    The quadrivium was the upper division of medieval educational provision in the liberal arts, which comprised arithmetic (number in the abstract), geometry (number in space), music (number in time), and astronomy (number in space and time). Educationally, the trivium and the quadrivium imparted to the student the seven essential thinking skills ...