List of mathematical artists

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File:San Romano Battle (Paolo Uccello, London) 01.jpgs lying along perspective lines{{cite web|last1=Benford|first1=Susan|title=Famous Paintings: The Battle of San Romano|url=http://www.themasterpiececards.com/famous-paintings-reviewed/bid/27919/Famous-Paintings-The-Battle-of-San-Romano|website=Masterpiece Cards|access-date=8 June 2015}} in Paolo Uccello's The Battle of San Romano, 1438]]

File:Stellated Dodecahedron Luca Pacioli and Leonardo da Vinci 1509.jpg, from De divina proportione by Luca Pacioli, woodcut by Leonardo da Vinci. Venice, 1509]]

File:Albrecht Dürer - Melencolia I - Google Art Project (427760).jpg's 1514 engraving Melencolia, with a truncated triangular trapezohedron and a magic square]]

File:Man Ray, Rencontre dans la porte tournante.jpg, 1922, with helix]]

File:Tony Robbin artwork.JPG in Painting 2006-7 by Tony Robbin]]

File:Bathsheba Grossman geometric art.jpg, 2007, a sculpture with dodecahedral symmetry]]

File:Heart by Hamid Naderi Yeganeh.jpg, 2014, using a family of trigonometric equations{{cite web |title=Mathematical Imagery: Mathematical Concepts Illustrated by Hamid Naderi Yeganeh |url=https://www.ams.org/mathimagery/thumbnails.php?album=40 |publisher=American Mathematical Society |access-date=8 June 2015}}]]

File:Mikołaj Kosmalski Anioł V.jpg

This is a list of artists who actively explored mathematics in their artworks. 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),Piero della Francesca, De Prospectiva Pingendi, ed. G. Nicco Fasola, 2 vols., Florence (1942).Piero della Francesca, Trattato d'Abaco, ed. G. Arrighi, Pisa (1970).Piero della Francesca, L'opera "De corporibus regularibus" di Pietro Franceschi detto della Francesca usurpata da Fra Luca Pacioli, ed. G. Mancini, Rome, (1916). while Pacioli wrote De divina proportione (On Divine Proportion), with illustrations by Leonardo da Vinci, at the end of the fifteenth century.{{cite web |last1=Swetz |first1=Frank J. |last2=Katz |first2=Victor J. |title=Mathematical Treasures - De Divina Proportione, by Luca Pacioli |url=http://www.maa.org/publications/periodicals/convergence/mathematical-treasures-de-divina-proportione-by-luca-pacioli |publisher=Mathematical Association of America |access-date=7 June 2015}}

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

{{further|mathematics and art}}

class="wikitable sortable"

|+ Mathematical artists

! Artist !! Dates !! Artform

Contribution to mathematical art

Calatrava, Santiago1951–ArchitectureMathematically-based architecture{{cite web | url=https://www.ams.org/samplings/feature-column/fcarc-art4 | title=Monthly essays on mathematical topics: Mathematics and Art | publisher=American Mathematical Society | access-date=7 June 2015}}{{cite web | last1=Greene | first1=Robert | title=How Santiago Calatrava blurred the lines between architecture and engineering to make buildings move | date=20 January 2013 | url=http://www.archdaily.com/321403/how-santiago-calatrava-blurred-the-lines-between-architecture-and-engineering-to-make-buildings-move/ | publisher=Arch daily | access-date=7 June 2015}}

Della Francesca, Piero1420–1492Fine artMathematical principles of perspective in art;{{cite book | last=Field | first=J. V. |author-link= Judith V. Field | title=Piero della Francesca. A Mathematician's Art | date=2005 | publisher=Yale University Press | isbn=0-300-10342-5 | url=https://www.ams.org/notices/200703/rev-emmer.pdf}} 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{{cite news | title=Video: Origami Artists Don't Fold Under Pressure | url= https://blogs.wsj.com/metropolis/2014/07/02/video-origami-artists-dont-fold-under-pressure/ | date=2 July 2014 | first=Elizabeth | last=Yuan | work=The Wall Street Journal}}{{cite web|last1=Demaine|first1=Erik|last2=Demaine|first2=Martin|title=Curved-Crease Sculpture|url=http://erikdemaine.org/curved/|access-date=8 June 2015}}{{cite web|title=Erik Demaine and Martin Demaine|url=http://www.moma.org/collection//browse_results.php?object_id=110195|website=MoMA|publisher=Museum of Modern Art|access-date=8 June 2015}}
Dietz, Ada1882–1950TextilesWeaving patterns based on the expansion of multivariate polynomials{{cite book | last=Dietz | first=Ada K. | location=Louisville, Kentucky | publisher=The Little Loomhouse | title=Algebraic Expressions in Handwoven Textiles | url=http://www.cs.arizona.edu/patterns/weaving/monographs/dak_alge.pdf | year=1949 | access-date=2015-06-07 | archive-url=https://web.archive.org/web/20160222003421/http://www.cs.arizona.edu/patterns/weaving/monographs/dak_alge.pdf | archive-date=2016-02-22 | url-status=dead }}
Draves, Scott1968–Digital artVideo art, VJing{{cite web | last=Birch | first=K. | url=http://www.cogito.org/Interviews/InterviewsDetail.aspx?ContentID=16808 | title=Cogito Interview: Damien Jones, Fractal Artist | date=20 August 2007 | access-date=7 June 2015 | archive-url=https://web.archive.org/web/20070827160027/http://www.cogito.org/Interviews/InterviewsDetail.aspx?ContentID=16808 | archive-date=27 August 2007 | url-status=dead }}{{cite web| last=Bamberger|first=A.|url=http://www.artbusiness.com/1open/011807.html |title=San Francisco Art Galleries - Openings|date=2007-01-18|access-date=2008-03-11}}{{cite web |url=http://www.baxterchangpatri.com/artwork.html|title=Gallery representing Draves' video art|access-date=2008-03-11 |archive-url = https://web.archive.org/web/20080606060122/http://www.baxterchangpatri.com/artwork.html | archive-date=2008-06-06}}{{cite web|url=http://www.keyboardmag.com/article/vj-its-not/apr-05/7446|title=VJ: It's not a disease|publisher=Keyboard Magazine|date=April 2005|access-date=2015-06-08|archive-url=https://web.archive.org/web/20080412020022/http://www.keyboardmag.com/article/vj-its-not/apr-05/7446|archive-date=2008-04-12|url-status=dead}}{{cite web|url=http://www.newyorker.com/archive/2004/06/07/040607ta_talk_wilkinson |first=Alec |last=Wilkinson |title=Incomprehensible|publisher=New Yorker Magazine |date=2004-06-07}}
Dürer, Albrecht1471–1528Fine artMathematical theory of proportion{{cite web | url=https://www.ams.org/samplings/feature-column/fcarc-art1 | title=Feature Column from the AMS | publisher=American Mathematical Society | access-date=7 June 2015}}{{cite web|title=Albrecht Dürer | url=http://www-history.mcs.st-and.ac.uk/Biographies/Durer.html | publisher=University of St Andrews | access-date=7 June 2015}}
Ernest, John1922–1994Fine artUse of group theory, self-replicating shapes in art{{cite journal | last1=Beineke | first1=Lowell | last2=Wilson | first2=Robin | doi=10.1007/s00283-009-9120-4 | journal=The Mathematical Intelligencer | title=The Early History of the Brick Factory Problem | year=2010 | volume=32 | issue =2 | pages=41–48| s2cid=122588849 }}{{cite web | last1=Ernest | first1=Paul |title=John Ernest, A Mathematical Artist | url=http://people.exeter.ac.uk/PErnest/pome24/ernest_john_ernest_a_mathematical_artist.doc | publisher=University of Exeter | access-date=7 June 2015}}
Escher, M. C.1898–1972Fine artExploration of tessellations, hyperbolic geometry, assisted by the geometer H. S. M. Coxeter{{cite web | url=http://www.math.cornell.edu/~mec/Winter2009/Mihai/ | title=M.C. Escher and Hyperbolic Geometry | publisher=The Math Explorers' Club | date=2009 | access-date=7 June 2015}}
Farmanfarmaian, Monir1922–2019Fine artGeometric constructions exploring the infinite, especially mirror mosaics{{cite web|title=BBC 100 Women 2015: Iranian artist Monir Farmanfarmaian|url=https://www.bbc.co.uk/news/world-34921446|publisher=BBC|access-date=27 November 2015|date=26 November 2015}}
Ferguson, Helaman1940–Digital artAlgorist, Digital artist

Forakis, Peter1927–2009SculpturePioneer of geometric forms in sculpture{{cite news | title=Peter Forakis, a Sculptor of Geometric Forms, Is Dead at 82 | url= https://www.nytimes.com/2009/12/16/arts/design/16forakis.html | date=17 December 2009 | first=Roberta | last=Smith | work=The New York Times | quote=Often consisting of repeating, flattened volumes tilted on a corner, Mr. Forakis’s work had a mathematical demeanor; sometimes it evoked the black, chunky forms of the Minimalist sculptor Tony Smith.}}{{cite web|title=Peter Forakis, Originator of Geometry-Based Sculpture, Dies at 82|url=http://artdaily.com/news/34722/Peter-Forakis--Originator-of-Geometry-Based-Sculpture--Dies-at-82#.VXRbbUZ0dIQ|publisher=Art Daily|access-date=7 June 2015}}

Grossman, Bathsheba1966–SculptureSculpture based on mathematical structures{{cite web | url= http://blogs.scientificamerican.com/roots-of-unity/the-math-geek-holiday-gift-guide/ | title=The Math Geek Holiday Gift Guide | publisher=Scientific American | date=November 23, 2014 | access-date=June 7, 2015}}{{cite web|last1=Hanna|first1=Raven|title=Gallery: Bathsheba Grossman|url=http://www.symmetrymagazine.org/article/september-2005/gallery-bathsheba-grossman|publisher=Symmetry Magazine|access-date=7 June 2015}}
Hart, George W.1955–SculptureSculptures of 3-dimensional tessellations (lattices){{cite web|title=George W. Hart|url=http://www.bridgesmathart.org/art-exhibits/jmm09/hart.html|publisher=Bridges Math Art|access-date=7 June 2015}}{{cite web|title=George Hart|url=https://www.simonsfoundation.org/authors/george-hart/|publisher=Simons Foundation|access-date=7 June 2015}}
Radoslav Rochallyi1980–Fine artEquations-inspired mathematical visual art including mathematical structures.{{cite web |url= https://www.mathvalues.org/masterblog/equation-poetry |title= EQUATION POETRY |last= Rochallyi |first= Radoslav

|year= 2021 |editor = Deanna Haunsperger |publisher= Mathematical Association of America |location= Washington D.C. |language= en

|asin= }}{{cite journal | author = | date= 2021-05-08| title = The World Pretends to Be Burning| editor = Lorenzo Bartolucci, Katherine G. T. Whatley| journal = Mantis, Stanford Journal of Poetry, Criticism, and Translations.| page = 128| issue = 19| publisher = Stanford University| issn = 1540-4544| oclc = 49879239}}

Hill, Anthony1930–Fine artGeometric abstraction in Constructivist art{{cite web|title=Anthony Hill|url=https://artimage.org.uk/artists/h/hill-anthony/|publisher=Artimage|access-date=7 June 2015}}{{cite web|title=Anthony Hill: Relief Construction 1960-2|url=http://www.tate.org.uk/art/artworks/hill-relief-construction-t00567|publisher=Tate Gallery|access-date=7 June 2015 |quote=The artist has suggested that his constructions can best be described in mathematical terminology, thus ‘the theme involves a module, partition and a progression’ which ‘accounts for the disposition of the five white areas and permuted positioning of the groups of angle sections’. (Letter of 24 March 1963.)}}
Leonardo da Vinci1452–1519Fine artMathematically-inspired proportion, including golden ratio (used as golden rectangles){{cite web|title=Leonardo DaVinci and the Golden Section|url=http://mathcentral.uregina.ca/beyond/articles/Art/DaVinci.html|publisher=University of Regina|access-date=7 June 2015}}
Longhurst, Robert1949–SculptureSculptures of minimal surfaces, saddle surfaces, and other mathematical concepts{{cite journal| author=Friedman, Nathaniel | title=Robert Longhurst: Three Sculptures | journal=Hyperseeing | date=July 2007 | pages=9–12 | quote=The surfaces [of Longhurst's sculptures] generally have appealing sections with negative curvature (saddle surfaces). This is a natural intuitive result of Longhurst's feeling for satisfying shape rather than a mathematically deduced result.}}
Man Ray1890–1976Fine artPhotographs and paintings of mathematical models in Dada and Surrealist art{{cite web | title=Man Ray–Human Equations A Journey from Mathematics to Shakespeare February 7 - May 10, 2015 | url=http://www.phillipscollection.org/events/2015-02-07-exhibition-man-ray-human-equations | publisher=Phillips Collection | access-date=7 June 2015}}
Naderi Yeganeh, Hamid1990–Fine artExploration of tessellations (resembling rep-tiles){{cite news | title=Catch of the day: mathematician nets weird, complex fish | url=https://www.theguardian.com/science/alexs-adventures-in-numberland/2015/feb/24/catch-of-the-day-mathematician-nets-weird-complex-fish | date=24 February 2015 | first=Alex | last=Bellos | work=The Guardian}}{{cite web |url=http://mathmunch.org/2015/04/15/continents-math-explorers-club-and-i-use-math-for/|title=Continents, Math Explorers' Club, and "I use math for…" |publisher=mathmunch.org |date=April 2015 |access-date=June 7, 2015}}
Pacioli, Luca1447–1517Fine artPolyhedra (e.g. rhombicuboctahedron) in Renaissance art;{{cite web |last1=Hart |first1=George |title=Luca Pacioli's Polyhedra |url=http://www.georgehart.com/virtual-polyhedra/pacioli.html |access-date=7 June 2015}} proportion, in his book De divina proportione
Perry, Charles O.1929–2011SculptureMathematically-inspired sculpture{{cite web | url=http://mathworld.wolfram.com/Dodecahedron.html | title=Dodecahedron | publisher=Wolfram MathWorld | access-date=7 June 2015}}{{cite news | title=Charles O. Perry Dies at 81; Sculptor Inspired by Geometry | author=William Grimes | url=https://www.nytimes.com/2011/02/11/arts/design/11perry.html?_r=1&ref=obituaries | newspaper=New York Times |date=11 February 2011 |access-date=November 10, 2012}}
Robbin, Tony1943–Fine artPainting, sculpture and computer visualizations of four-dimensional geometry{{cite book |last1=Radcliff |first1=Carter |last2=Kozloff |first2=Joyce |last3=Kushner |first3=Robert |title=Tony Robbin: A Retrospective |date=2011 |publisher=Hudson Hills Press |isbn=978-1-555-95367-6}}

Ri Ekl1984–Visual computer poetryGeometry-inspired poetry {{cite web | url=https://superpresent.org/wp-content/uploads/2024/06/V4N3-pdf.pdf | title=Mermo | publisher=Goupi press | access-date=8 Jul 2024}}
Saiers, Nelson2014–Fine artMathematical concepts (toposes, Brown representability, Euler's identity, etc) play a central role in his artwork.{{cite web |last1=levi |first1=ryan |title=Alcatraz Displays Irrational Numbers & Irrationally Long Prison Sentences |url=https://www.kqed.org/arts/12603270/alcatraz-displays-irrational-numbers-irrationally-long-prison-sentences |website=kqed}}{{cite web |last1=Mastroianni |first1=brian |title=The perfect equation: Artist combines math and art |url=https://www.foxnews.com/science/the-perfect-equation-artist-combines-math-and-art |website=fox news|date=26 May 2015 }}{{cite web |title=A Hedge Funder's Merger of Aesthetics and Math|last1=Dietrich |first1=Chris |url=https://www.barrons.com/articles/a-hedge-funders-merger-1459570721 |website=Barron's |date=April 2, 2016}}
Séquin, Carlo1941–Digital artcomputer graphics, geometric modelling, and sculpture{{cite web|url=http://www.eecs.berkeley.edu/Faculty/Homepages/sequin.html |title=Carlo H. Séquin | EECS at UC Berkeley |publisher=Eecs.berkeley.edu |date=2015-02-21 |accessdate=2015-03-02}}{{cite web|url=http://www.cs.berkeley.edu/~sequin/BIO/curvitae.html |title=curriculum vitae: Carlo H Sequin |publisher=Cs.berkeley.edu |date= |accessdate=2015-03-02}}{{cite web |last1=Séquin |first1=Carlo |title=Carlo Séquin {{!}} Mathematical Art Galleries |url=http://gallery.bridgesmathart.org/exhibitions/2020-bridges-conference/sequin |website=gallery.bridgesmathart.org}}
Sugimoto, Hiroshi1948–Photography,
sculpture
Photography and sculptures of mathematical models,{{cite web|title=Portfolio Slideshow (Mathematical Forms)|url=https://www.nytimes.com/slideshow/2004/12/02/magazine/20041205_PORTFOLIO_SLIDESHOW_1.html?_r=0|work=New York Times|access-date=9 June 2015 |quote=Mathematical Form 0009: Conic surface of revolution with constant negative curvature. x = a sinh v cos u; y = a sinh v sin u; z = ...}} inspired by the work of Man Ray {{cite web |url=http://www.phillipscollection.org/events/2015-02-07-exhibition-hiroshi-sugimoto |title=Hiroshi Sugimoto: Conceptual Forms and Mathematical Models|publisher=Phillips Collection |access-date=9 June 2015}} and Marcel Duchamp{{cite web |title=Hiroshi Sugimoto |url=http://www.gagosian.com/artists/hiroshi-sugimoto/|publisher=Gagosian Gallery |access-date=9 June 2015 |quote=Conceptual Forms (Hypotrochoid), 2004 Gelatin silver print}}{{cite web |title=art21: Hiroshi Sugimoto |url=http://ec2-75-101-145-29.compute-1.amazonaws.com/art21/artists/hiroshi-sugimoto |publisher=PBS |access-date=9 June 2015 |archive-url=https://web.archive.org/web/20150711193527/http://ec2-75-101-145-29.compute-1.amazonaws.com/art21/artists/hiroshi-sugimoto |archive-date=11 July 2015 |url-status=dead }}
Taimina, Daina1954–TextilesCrochets of hyperbolic space{{cite web | url=http://blogs.scientificamerican.com/roots-of-unity/a-cuddly-crocheted-klein-quartic-curve/ | title=A Cuddly, Crocheted Klein Quartic Curve | publisher=Scientific American | date=17 November 2013 | access-date=7 June 2015}}
Thorsteinn, Einar1942–2015ArchitectureMathematically-inspired sculpture and architecture with polyhedral, spherical shapes and tensile structures {{Cite web|url = http://curbed.com/archives/2015/05/06/einar-thorstein-olafur-eliasson.php|title = Architectural Mad Scientist Einar Thorsteinn Passes Away at 73|date = May 6, 2015|accessdate = 12 May 2015|website = curbed.com|publisher = |last = Wisniewski|first = Katherine}}{{cite news|title=Ingenuity - Einar Thorsteinn|url=http://iceland-times.com/section.php?id=3988&id_art=5272|archive-url=https://web.archive.org/web/20150527015859/http://iceland-times.com/section.php?id=3988&id_art=5272|url-status=dead|archive-date=2015-05-27|accessdate=14 May 2015|work=Icelandic Times|issue=7|date=2011}}
Uccello, Paolo1397–1475Fine artInnovative use of perspective grid, objects as mathematical solids (e.g. lances as cones){{cite web | title=Paolo Uccello | url=http://www.getty.edu/art/collection/artists/13825/paolo-uccello-italian-about-1397-1475/ | publisher=J. Paul Getty Museum | access-date=7 June 2015}}{{cite web|title=The Battle of San Romano, Paolo Uccello (c1435-60) |url=https://www.theguardian.com/culture/2003/mar/29/art |work=The Guardian |access-date=7 June 2015 |date=29 March 2003 |quote=it is his bold enjoyment of its mathematical development of shapes - the lances as long slender cones, the receding grid of broken arms on the ground, the wonderfully three-dimensional horses, the armoured men as systems of solids extrapolated in space - that makes this such a Renaissance masterpiece.}}
[Mikołaj Jakub Kosmalski|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.Artmajeur - {{cite web |title=Mikołaj Jakub Kosmalski. Artist's website at artmajeur.com. |url=https://www.artmajeur.com/pl/mikolajkosmalski/artworks}}
Verhoeff, Jacobus1927–2018SculptureEscher-inspired mathematical sculptures such as lattice configurations and fractal formations{{cite web|title=Koos Verhoeff - mathematical art|url=http://www.arsetmathesis.nl/verhoeff.htm|publisher=Ars et Mathesis|access-date=8 June 2015|archive-url=https://web.archive.org/web/20020410111315/http://www.arsetmathesis.nl/verhoeff.htm|archive-date=10 April 2002|url-status=dead}}
[Anduriel Widmark|Widmark, Anduriel1987–SculptureGeometric glass sculpture using tetrastix, and knot theory{{cite journal |last1=Widmark |first1=Anduriel |title=Stixhexaknot: a symmetric cylinder arrangement of knotted glass |url=https://doi.org/10.1080%2F17513472.2020.1734517 |journal=Journal of Mathematics and the Arts |pages=167–169 |doi=10.1080/17513472.2020.1734517 |date=2 April 2020|volume=14 |issue=1–2 |s2cid=221057663 |url-access=subscription }}{{cite book |last1=Widmark |first1=Anduriel |title=Sculpture Design with Hexastix and Related Non-Intersecting Cylinder Packings |url=https://archive.bridgesmathart.org/2021/bridges2021-293.html |pages=293–296 |language=en |date=1 July 2021|isbn=9781938664397 }}

References

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