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A sketch (ultimately from Greek σχέδιος – schedios, "done extempore" [1] [2] [3]) is a rapidly executed freehand drawing that is not usually intended as a finished work. [4] A sketch may serve a number of purposes: it might record something that the artist sees, it might record or develop an idea for later use or it might be used as a ...
Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.The shapes studied in geometric modeling are mostly two- or three-dimensional (solid figures), although many of its tools and principles can be applied to sets of any finite dimension.
Photomontage featuring an ambigram "Escher" and reversible tessellation background.. Drawing Hands is a lithograph by the Dutch artist M. C. Escher first printed in January 1948.
Leonardo da Vinci's Vitruvian Man (c. 1485) Accademia, Venice. Drawing is a visual art that uses an instrument to mark paper or another two-dimensional surface. The instruments used to make a drawing are pencils, crayons, pens with inks, brushes with paints, or combinations of these, and in more modern times, computer styluses with graphics tablets or gamepads in VR drawing software.
In the mathematical theory of categories, a sketch is a category D, together with a set of cones intended to be limits and a set of cocones intended to be colimits. A model of the sketch in a category C is a functor: that takes each specified cone to a limit cone in C and each specified cocone to a colimit cocone in C
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Mathematics and art are related in a variety of ways. 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 ...