List of mathematical artists

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Broken lances lying along perspective lines[1] in Paolo Uccello's The Battle of San Romano, 1438
Small stellated dodecahedron, from De divina proportione by Luca Pacioli, woodcut by Leonardo da Vinci. Venice, 1509
Albrecht Dürer's 1514 engraving Melencolia, with a truncated triangular trapezohedron
File:Man Ray, Rencontre dans la porte tournante.jpg
Rencontre dans la porte tournante by Man Ray, 1922, with helix
File:Tony Robbin artwork.JPG
Four-dimensional geometry in Painting 2006-7 by Tony Robbin
Mathematical sculpture by Bathsheba Grossman, 2007
Heart by Hamid Naderi Yeganeh, 2014, using a family of trigonometric equations[2]

This is a list of artists who actively explored mathematics in their artworks.[3] Art forms practised by these artists include painting, sculpture, architecture, textiles and origami.

Some artists such as Piero della Francesca and Luca Pacioli went so far as to write books on mathematics in art. Della Francesca wrote books on solid geometry and the emerging field of perspective, including De Prospectiva Pingendi (On Perspective for Painting), Trattato d’Abaco (Abacus Treatise), and De corporibus regularibus (Regular Solids),[4][5][6] while Pacioli wrote De divina proportione (On Divine Proportion), with illustrations by Leonardo da Vinci, at the end of the fifteenth century.[7]

Merely making accepted use of some aspect of mathematics such as perspective does not quality an artist for admission to this list.

The term "fine art" is used conventionally to cover the output of artists who produce a combination of paintings, drawings and sculptures.

List

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Further information: mathematics and art
Mathematical artists
Artist Dates Artform Contribution to mathematical art
Calatrava, Santiago 1951– Architecture Mathematically-based architecture[3][8]
Da Vinci, Leonardo 1452–1519 Fine art Mathematically-inspired proportion, including golden ratio (used as golden rectangles)[9][10]
Della Francesca, Piero 1420–1492 Fine art Mathematical principles of perspective in art;[11] his books include De prospectiva pingendi (On perspective for painting), Trattato d’Abaco (Abacus treatise), and De corporibus regularibus (Regular solids)
Demaine, Erik and Martin 1981– Origami "Computational origami": mathematical curved surfaces in self-folding paper sculptures[12][13][14]
Dietz, Ada 1882–1950 Textiles Weaving patterns based on the expansion of multivariate polynomials[15]
Draves, Scott 1968– Digital art Video art, VJing[16][17][18][19][20]
Dürer, Albrecht 1471–1528 Fine art Mathematical theory of proportion[9][21]
Ernest, John 1922–1994 Fine art Use of group theory, self-replicating shapes in art[22][23]
Escher, M. C. 1898–1972 Fine art Exploration of tessellations, hyperbolic geometry, assisted by the geometer H. S. M. Coxeter[9][24]
Farmanfarmaian, Monir 1924– Fine art Geometric constructions exploring the infinite, especially mirror mosaics[25]
Ferguson, Helaman 1940– Digital art Algorist, Digital artist[3]
Forakis, Peter 1927–2009 Sculpture Pioneer of geometric forms in sculpture[26][27]
Grossman, Bathsheba 1966– Sculpture Sculpture based on mathematical structures[28][29]
Hart, George W. 1955– Sculpture Sculptures of 3-dimensional tessellations (lattices)[3][30][31]
Hill, Anthony 1930– Fine art Geometric abstraction in Constructivist art[32][33]
Longhurst, Robert 1949– Sculpture Sculptures of minimal surfaces, saddle surfaces, and other mathematical concepts[34]
Man Ray 1890–1976 Fine art Photographs and paintings of mathematical models in Dada and Surrealist art[35]
Naderi Yeganeh, Hamid 1990– Fine art Exploration of tessellations (resembling rep-tiles)[36][37]
Pacioli, Luca 1447–1517 Fine art Polyhedra (e.g. rhombicuboctahedron) in Renaissance art;[9][38] proportion, in his book De divina proportione
Perry, Charles O. 1929–2011 Sculpture Mathematically-inspired sculpture[3][39][40]
Robbin, Tony 1943– Fine art Painting, sculpture and computer visualizations of four-dimensional geometry[41]
Sugimoto, Hiroshi 1948– Photography,
sculpture		 Photography and sculptures of mathematical models,[42] inspired by the work of Man Ray [43] and Marcel Duchamp[44][45]
Taimina, Daina 1954– Textiles Crochets of hyperbolic space[46]
Uccello, Paolo 1397–1475 Fine art Innovative use of perspective grid, objects as mathematical solids (e.g. lances as cones)[47][48]
Verhoeff, Jacobus 1927– Sculpture Escher-inspired mathematical sculptures such as lattice configurations and fractal formations[3][49]

References

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External links

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  4. ↑ Piero della Francesca, De Prospectiva Pingendi, ed. G. Nicco Fasola, 2 vols., Florence (1942).
  5. ↑ Piero della Francesca, Trattato d'Abaco, ed. G. Arrighi, Pisa (1970).
  6. ↑ Piero della Francesca, L'opera "De corporibus regularibus" di Pietro Franceschi detto della Francesca usurpata da Fra Luca Pacioli, ed. G. Mancini, Rome, (1916).
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