List of mathematical artists explained

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),[1] [2] [3] while Pacioli wrote De divina proportione (On Divine Proportion), with illustrations by Leonardo da Vinci, at the end of the fifteenth century.[4]

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

Contribution to mathematical art-HIDDEN - PLEASE WRITE ARTICLE FIRSTSimon Beck 1958– Landscape Symmetrical patterns of tracks in snow landscapes[5] [6] -->
1951– Architecture Mathematically-based architecture[7] [8] -HIDDEN - PLEASE WRITE ARTICLE FIRSTdate– artform -->
1420–1492 Fine art Mathematical principles of perspective in art;[9] his books include De prospectiva pingendi (On perspective for painting), Trattato d’Abaco (Abacus treatise), and De corporibus regularibus (Regular solids)
1981– Origami "Computational origami": mathematical curved surfaces in self-folding paper sculptures[10] [11] [12]
1882–1950 Textiles Weaving patterns based on the expansion of multivariate polynomials[13]
1968– Digital art Video art, VJing[14] [15] [16] [17] [18]
1471–1528 Fine art Mathematical theory of proportion[19] [20]
1922–1994 Fine art Use of group theory, self-replicating shapes in art[21] [22]
1898–1972 Fine art Exploration of tessellations, hyperbolic geometry, assisted by the geometer H. S. M. Coxeter[23]
1922–2019 Fine art Geometric constructions exploring the infinite, especially mirror mosaics[24]
1940– Digital art Algorist, Digital artist-HIDDEN - PLEASE WRITE ARTICLE FIRSTdate– artform -->
1927–2009 Sculpture Pioneer of geometric forms in sculpture[25] [26] -HIDDEN - PLEASE WRITE ARTICLE FIRSTdate– artform -->
1966– Sculpture Sculpture based on mathematical structures[27] [28]
1955– Sculpture Sculptures of 3-dimensional tessellations (lattices)[29] [30]
1980– Fine art Equations-inspired mathematical visual art including mathematical structures.[31] [32]
1930– Fine art Geometric abstraction in Constructivist art[33] [34]
1452–1519 Fine art Mathematically-inspired proportion, including golden ratio (used as golden rectangles)[35]
1949– Sculpture Sculptures of minimal surfaces, saddle surfaces, and other mathematical concepts[36]
1890–1976 Fine art Photographs and paintings of mathematical models in Dada and Surrealist art[37]
1990– Fine art Exploration of tessellations (resembling rep-tiles)[38] [39]
1447–1517 Fine art Polyhedra (e.g. rhombicuboctahedron) in Renaissance art;[40] proportion, in his book De divina proportione
1929–2011 Sculpture Mathematically-inspired sculpture[41] [42]
1943– Fine art Painting, sculpture and computer visualizations of four-dimensional geometry[43] -1985– artform -->
1984– Visual computer poetry Geometry-inspired poetry [44]
2014– Fine art Mathematical concepts (toposes, Brown representability, Euler's identity, etc) play a central role in his artwork.[45] [46] [47]
1941– Digital art computer graphics, geometric modelling, and sculpture[48] [49] [50]
1948– Photography,
sculpture
Photography and sculptures of mathematical models,[51] inspired by the work of Man Ray [52] and Marcel Duchamp[53] [54]
1954– Textiles Crochets of hyperbolic space[55]
1942–2015 Architecture Mathematically-inspired sculpture and architecture with polyhedral, spherical shapes and tensile structures [56] [57]
1397–1475 Fine art Innovative use of perspective grid, objects as mathematical solids (e.g. lances as cones)[58] [59]
[Mikołaj Jakub Kosmalski|Kosmalski, Mikołaj Jakub || 1986 || Digital art || Exploration 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.<ref>[[Artmajeur]] - Web site: Mikołaj Jakub Kosmalski. Artist's website at artmajeur.com. . |-| Verhoeff, Jacobus || 1927–2018 || Sculpture || Escher-inspired mathematical sculptures such as lattice configurations and fractal formations[60] |-| [Anduriel Widmark|Widmark, Anduriel || 1987– || Sculpture || Geometric [[glass sculpture]] using tetrastix, and knot theory[61] [62] |}

External links

Notes and References

  1. Piero della Francesca, De Prospectiva Pingendi, ed. G. Nicco Fasola, 2 vols., Florence (1942).
  2. Piero della Francesca, Trattato d'Abaco, ed. G. Arrighi, Pisa (1970).
  3. Piero della Francesca, L'opera "De corporibus regularibus" di Pietro Franceschi detto della Francesca usurpata da Fra Luca Pacioli, ed. G. Mancini, Rome, (1916).
  4. Web site: Swetz . Frank J. . Katz . Victor J. . Mathematical Treasures - De Divina Proportione, by Luca Pacioli . Mathematical Association of America . 7 June 2015.
  5. News: Snowshoes + Math=Chillingly Beautiful Snow Art . 12 August 2014 . Jacqueline . Howard . The Huffington Post.
  6. News: Simon Beck's astonishing landscape and snow art illustrates the cold beauty of mathematics – in pictures . 6 November 2014 . Alex . Bellos . The Guardian.
  7. Web site: Monthly essays on mathematical topics: Mathematics and Art . . 7 June 2015.
  8. Web site: Greene . Robert . How Santiago Calatrava blurred the lines between architecture and engineering to make buildings move . 20 January 2013 . Arch daily . 7 June 2015.
  9. Book: Field, J. V. . Judith V. Field . Piero della Francesca. A Mathematician's Art . 2005 . Yale University Press . 0-300-10342-5 .
  10. News: Video: Origami Artists Don't Fold Under Pressure . 2 July 2014 . Elizabeth . Yuan . The Wall Street Journal.
  11. Web site: Demaine. Erik. Demaine. Martin. Curved-Crease Sculpture. 8 June 2015.
  12. Web site: Erik Demaine and Martin Demaine. MoMA. Museum of Modern Art. 8 June 2015.
  13. Book: Dietz, Ada K. . Louisville, Kentucky . The Little Loomhouse . Algebraic Expressions in Handwoven Textiles . 1949 . 2015-06-07 . https://web.archive.org/web/20160222003421/http://www.cs.arizona.edu/patterns/weaving/monographs/dak_alge.pdf . 2016-02-22 . dead .
  14. Web site: Birch . K. . Cogito Interview: Damien Jones, Fractal Artist . 20 August 2007 . 7 June 2015 . https://web.archive.org/web/20070827160027/http://www.cogito.org/Interviews/InterviewsDetail.aspx?ContentID=16808 . 27 August 2007 . dead .
  15. Web site: Bamberger. A.. San Francisco Art Galleries - Openings. 2007-01-18. 2008-03-11.
  16. Web site: Gallery representing Draves' video art. 2008-03-11 . https://web.archive.org/web/20080606060122/http://www.baxterchangpatri.com/artwork.html . 2008-06-06.
  17. Web site: VJ: It's not a disease. Keyboard Magazine. April 2005. 2015-06-08. https://web.archive.org/web/20080412020022/http://www.keyboardmag.com/article/vj-its-not/apr-05/7446. 2008-04-12. dead.
  18. Web site: Incomprehensible. Alec . Wilkinson . New Yorker Magazine . 2004-06-07.
  19. Web site: Feature Column from the AMS . . 7 June 2015.
  20. Web site: Albrecht Dürer . University of St Andrews . 7 June 2015.
  21. Beineke . Lowell . Wilson . Robin . 10.1007/s00283-009-9120-4 . . The Early History of the Brick Factory Problem . 2010 . 32 . 2 . 41–48. 122588849 .
  22. Web site: Ernest . Paul . John Ernest, A Mathematical Artist . University of Exeter . 7 June 2015.
  23. Web site: M.C. Escher and Hyperbolic Geometry . The Math Explorers' Club . 2009 . 7 June 2015.
  24. Web site: BBC 100 Women 2015: Iranian artist Monir Farmanfarmaian. BBC. 27 November 2015. 26 November 2015.
  25. News: Peter Forakis, a Sculptor of Geometric Forms, Is Dead at 82 . 17 December 2009 . Roberta . Smith . . 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..
  26. Web site: Peter Forakis, Originator of Geometry-Based Sculpture, Dies at 82. Art Daily. 7 June 2015.
  27. Web site: The Math Geek Holiday Gift Guide . . November 23, 2014 . June 7, 2015.
  28. Web site: Hanna. Raven. Gallery: Bathsheba Grossman. Symmetry Magazine. 7 June 2015.
  29. Web site: George W. Hart. Bridges Math Art. 7 June 2015.
  30. Web site: George Hart. Simons Foundation. 7 June 2015.
  31. Web site: EQUATION POETRY . Rochallyi . Radoslav . 2021 . . . Washington D.C. . en .
  32. . 2021-05-08. The World Pretends to Be Burning. Lorenzo Bartolucci, Katherine G. T. Whatley. Mantis, Stanford Journal of Poetry, Criticism, and Translations.. 128. 19. Stanford University. 1540-4544. 49879239.
  33. Web site: Anthony Hill. Artimage. 7 June 2015.
  34. Web site: Anthony Hill: Relief Construction 1960-2. Tate Gallery. 7 June 2015 . 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.).
  35. Web site: Leonardo DaVinci and the Golden Section. University of Regina. 7 June 2015.
  36. Friedman, Nathaniel . Robert Longhurst: Three Sculptures . Hyperseeing . July 2007 . 9–12 . 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..
  37. Web site: Man Ray–Human Equations A Journey from Mathematics to Shakespeare February 7 - May 10, 2015 . Phillips Collection . 7 June 2015.
  38. News: Catch of the day: mathematician nets weird, complex fish . 24 February 2015 . Alex . Bellos . The Guardian.
  39. Web site: Continents, Math Explorers' Club, and "I use math for…" . mathmunch.org . April 2015 . June 7, 2015.
  40. Web site: Hart . George . Luca Pacioli's Polyhedra . 7 June 2015.
  41. Web site: Dodecahedron . . 7 June 2015.
  42. News: Charles O. Perry Dies at 81; Sculptor Inspired by Geometry . William Grimes . New York Times . 11 February 2011 . November 10, 2012.
  43. Book: Radcliff . Carter . Kozloff . Joyce . Kushner . Robert . Tony Robbin: A Retrospective . 2011 . Hudson Hills Press . 978-1-555-95367-6.
  44. Web site: Mermo . Goupi press . 8 Jul 2024.
  45. Web site: levi . ryan . Alcatraz Displays Irrational Numbers & Irrationally Long Prison Sentences . kqed.
  46. Web site: Mastroianni . brian . The perfect equation: Artist combines math and art . fox news. 26 May 2015 .
  47. Web site: A Hedge Funder's Merger of Aesthetics and Math. Dietrich . Chris . . April 2, 2016.
  48. Web site: Carlo H. Séquin | EECS at UC Berkeley . Eecs.berkeley.edu . 2015-02-21 . 2015-03-02.
  49. Web site: curriculum vitae: Carlo H Sequin . Cs.berkeley.edu . 2015-03-02.
  50. Web site: Séquin . Carlo . Carlo Séquin Mathematical Art Galleries . gallery.bridgesmathart.org.
  51. Web site: Portfolio Slideshow (Mathematical Forms). New York Times. 9 June 2015 . Mathematical Form 0009: Conic surface of revolution with constant negative curvature. x = a sinh v cos u; y = a sinh v sin u; z = ....
  52. Web site: Hiroshi Sugimoto: Conceptual Forms and Mathematical Models. Phillips Collection . 9 June 2015.
  53. Web site: Hiroshi Sugimoto . Gagosian Gallery . 9 June 2015 . Conceptual Forms (Hypotrochoid), 2004 Gelatin silver print.
  54. Web site: art21: Hiroshi Sugimoto . PBS . 9 June 2015 . https://web.archive.org/web/20150711193527/http://ec2-75-101-145-29.compute-1.amazonaws.com/art21/artists/hiroshi-sugimoto . 11 July 2015 . dead .
  55. Web site: A Cuddly, Crocheted Klein Quartic Curve . . 17 November 2013 . 7 June 2015.
  56. Web site: Architectural Mad Scientist Einar Thorsteinn Passes Away at 73. May 6, 2015. 12 May 2015. curbed.com. Wisniewski. Katherine.
  57. News: Ingenuity - Einar Thorsteinn. https://web.archive.org/web/20150527015859/http://iceland-times.com/section.php?id=3988&id_art=5272. dead. 2015-05-27. 14 May 2015. Icelandic Times. 7. 2011.
  58. Web site: Paolo Uccello . J. Paul Getty Museum . 7 June 2015.
  59. Web site: The Battle of San Romano, Paolo Uccello (c1435-60) . The Guardian . 7 June 2015 . 29 March 2003 . 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..
  60. Web site: Koos Verhoeff - mathematical art. Ars et Mathesis. 8 June 2015. https://web.archive.org/web/20020410111315/http://www.arsetmathesis.nl/verhoeff.htm. 10 April 2002. dead.
  61. Widmark . Anduriel . Stixhexaknot: a symmetric cylinder arrangement of knotted glass . Journal of Mathematics and the Arts . 167–169 . 10.1080/17513472.2020.1734517 . 2 April 2020. 14 . 1–2 . 221057663 .
  62. Book: Widmark . Anduriel . Sculpture Design with Hexastix and Related Non-Intersecting Cylinder Packings . 293–296 . en . 1 July 2021. 9781938664397 .