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.
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
+ Mathematical artists Artist Dates Artform Contribution to mathematical art Calatrava, Santiago 1951– Architecture Mathematically-based architecture Della Francesca, Piero 1420–1492 Fine art Mathematical principles of perspective in art; 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 Dietz, Ada 1882–1950 Textiles Weaving patterns based on the expansion of multivariate polynomials Draves, Scott 1968– Digital art Video art, VJing Dürer, Albrecht 1471–1528 Fine art Mathematical theory of proportion Ernest, John 1922–1994 Fine art Use of group theory, self-replicating shapes in art Escher, M. C. 1898–1972 Fine art Exploration of tessellations, hyperbolic geometry, assisted by the geometer H. S. M. Coxeter Farmanfarmaian, Monir 1922–2019 Fine art Geometric constructions exploring the infinite, especially mirror mosaics Ferguson, Helaman 1940– Digital art Algorist, Digital artist Fomenko, Anatoly 1940- Illustration Fantastical illustrations representing concepts from the mathematical field of topology Forakis, Peter 1927–2009 Sculpture Pioneer of geometric forms in sculpture Grossman, Bathsheba 1966– Sculpture Sculpture based on mathematical structures Hart, George W. 1955– Sculpture Sculptures of 3-dimensional tessellations (lattices) Radoslav Rochallyi 1980– Fine art Equations-inspired mathematical visual art including mathematical structures. Hill, Anthony 1930– Fine art Geometric abstraction in Constructivist art Leonardo da Vinci 1452–1519 Fine art Mathematically-inspired proportion, including golden ratio (used as golden rectangles) Longhurst, Robert 1949– Sculpture Sculptures of minimal surfaces, saddle surfaces, and other mathematical concepts Man Ray 1890–1976 Fine art Photographs and paintings of mathematical models in Dada and Surrealist art Naderi Yeganeh, Hamid 1990– Fine art Exploration of tessellations (resembling rep-tiles) Pacioli, Luca 1447–1517 Fine art Polyhedra (e.g. rhombicuboctahedron) in Renaissance art; proportion, in his book De divina proportione Perry, Charles O. 1929–2011 Sculpture Mathematically-inspired sculpture Robbin, Tony 1943– Fine art Painting, sculpture and computer visualizations of four-dimensional geometry Ri Ekl 1984– Visual computer poetry Geometry-inspired poetry Saiers, Nelson 2014– Fine art Mathematical concepts (toposes, Brown representability, Euler's identity, etc) play a central role in his artwork. Séquin, Carlo 1941– Digital art computer graphics, geometric modelling, and sculpture Sugimoto, Hiroshi 1948– Photography,sculpture Photography and sculptures of mathematical models, inspired by the work of Man Ray and Marcel Duchamp Taimina, Daina 1954– Textiles Crochets of hyperbolic space Thorsteinn, Einar 1942–2015 Architecture Mathematically-inspired sculpture and architecture with polyhedral, spherical shapes and tensile structures Uccello, Paolo 1397–1475 Fine art Innovative use of perspective grid, objects as mathematical solids (e.g. lances as cones)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.Artmajeur - Verhoeff, Jacobus 1927–2018 Sculpture Escher-inspired mathematical sculptures such as lattice configurations and fractal formations Widmark, Anduriel 1987– Sculpture Geometric glass sculpture using tetrastix, and knot theory
References
External links Saint Louis University: List of mathematical artists, by field