List of mathematical artists

From Wikipedia, the free encyclopedia

This is a list of artists who actively explored mathematics in their artworks.[4] Art forms practised by these artists include painting, sculpture, architecture, textiles and origami.

Broken lances lying along perspective lines[1] in Paolo Uccello's The Battle of San Romano, 1438
"Dodecaedron Abscisum Elevatum Solidum" woodcut by Leonardo da Vinci, from Luca Pacioli's De divina proportione (Venice, 1509) – an "elevated" icosidodecahedron that is augmented with pyramids made of triangles.[2]
Albrecht Dürer's 1514 engraving Melencolia, with a truncated triangular trapezohedron and a magic square
Rencontre dans la porte tournante by Man Ray, 1922, with helix
Four-dimensional geometry in Painting 2006-7 by Tony Robbin
Quintrino by Bathsheba Grossman, 2007, a sculpture with dodecahedral symmetry
Heart by Hamid Naderi Yeganeh, 2014, using a family of trigonometric equations[3]
"Angel V" of Mikołaj Jakub Kosmalski - A cubic curve formed on a finite set of points generated by a parametric formula using trigonometric functions and operations on complex numbers

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),[5][6][7] while Pacioli wrote De divina proportione (On Divine Proportion), with illustrations by Leonardo da Vinci, at the end of the fifteenth century.[8]

Merely making accepted use of some aspect of mathematics such as perspective does not qualify 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

More information Artist, Dates ...
Mathematical artists
ArtistDatesArtformContribution to mathematical art
Calatrava, Santiago1951–ArchitectureMathematically-based architecture[4][9]
Della Francesca, Piero1420–1492Fine artMathematical principles of perspective in art;[10] his books include De prospectiva pingendi (On perspective for painting), Trattato d’Abaco (Abacus treatise), and De corporibus regularibus (Regular solids)
Demaine, Erik and Martin1981–Origami"Computational origami": mathematical curved surfaces in self-folding paper sculptures[11][12][13]
Dietz, Ada1882–1950TextilesWeaving patterns based on the expansion of multivariate polynomials[14]
Draves, Scott1968–Digital artVideo art, VJing[15][16][17][18][19]
Dürer, Albrecht1471–1528Fine artMathematical theory of proportion[20][21]
Ernest, John1922–1994Fine artUse of group theory, self-replicating shapes in art[22][23]
Escher, M. C.1898–1972Fine artExploration of tessellations, hyperbolic geometry, assisted by the geometer H. S. M. Coxeter[20][24]
Farmanfarmaian, Monir1922–2019Fine artGeometric constructions exploring the infinite, especially mirror mosaics[25]
Ferguson, Helaman1940–Digital artAlgorist, Digital artist[4]
Fomenko, Anatoly1940-IllustrationFantastical illustrations representing concepts from the mathematical field of topology[26][27]
Forakis, Peter1927–2009SculpturePioneer of geometric forms in sculpture[28][29]
Grossman, Bathsheba1966–SculptureSculpture based on mathematical structures[30][31]
Hart, George W.1955–SculptureSculptures of 3-dimensional tessellations (lattices)[4][32][33]
Radoslav Rochallyi1980–Fine artEquations-inspired mathematical visual art including mathematical structures.[34][35]
Hill, Anthony1930–Fine artGeometric abstraction in Constructivist art[36][37]
Leonardo da Vinci1452–1519Fine artMathematically-inspired proportion, including golden ratio (used as golden rectangles)[20][38]
Longhurst, Robert1949–SculptureSculptures of minimal surfaces, saddle surfaces, and other mathematical concepts[39]
Man Ray1890–1976Fine artPhotographs and paintings of mathematical models in Dada and Surrealist art[40]
Naderi Yeganeh, Hamid1990–Fine artExploration of tessellations (resembling rep-tiles)[41][42]
Pacioli, Luca1447–1517Fine artPolyhedra (e.g. rhombicuboctahedron) in Renaissance art;[20][43] proportion, in his book De divina proportione
Perry, Charles O.1929–2011SculptureMathematically-inspired sculpture[4][44][45]
Robbin, Tony1943–Fine artPainting, sculpture and computer visualizations of four-dimensional geometry[46]
Ri Ekl1984–Visual computer poetryGeometry-inspired poetry [47]
Saiers, Nelson2014–Fine artMathematical concepts (toposes, Brown representability, Euler's identity, etc) play a central role in his artwork.[48][49][50]
Séquin, Carlo1941–Digital artcomputer graphics, geometric modelling, and sculpture[51][52][53]
Sugimoto, Hiroshi1948–Photography,
sculpture
Photography and sculptures of mathematical models,[54] inspired by the work of Man Ray [55] and Marcel Duchamp[56][57]
Taimina, Daina1954–TextilesCrochets of hyperbolic space[58]
Thorsteinn, Einar1942–2015ArchitectureMathematically-inspired sculpture and architecture with polyhedral, spherical shapes and tensile structures [59][60]
Uccello, Paolo1397–1475Fine artInnovative use of perspective grid, objects as mathematical solids (e.g. lances as cones)[61][62]
Kosmalski, Mikołaj Jakub1986Digital artExploration of spreadsheet software capabilities (OO Calc and MS Excel), generation of finite sets of points by parametric formulas, connecting these points by curved (usually cubic) and broken lines.[63]
Verhoeff, Jacobus1927–2018SculptureEscher-inspired mathematical sculptures such as lattice configurations and fractal formations[4][64]
Widmark, Anduriel1987–SculptureGeometric glass sculpture using tetrastix, and knot theory[65][66]
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