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""The connection between mathematics and art goes back thousands of years. Mathematics has been used in the design of Gothic cathedrals, Rose windows, oriental rugs, mosaics and tilings. Geometric forms were fundamental to the cubists and many abstract expressionists, and award-winning sculptors have used topology as the basis for their pieces. Dutch artist M.C. Escher represented infinity, Möbius bands, tessellations, deformations, reflections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works.


Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematics--origami, computer-generated landscapes, tesselations, fractals, anamorphic art, and more.


Visit the albums in Mathematical Imagery
Simulated Snowflakes Crocheted Lorenz Manifolds 2009 Mathematical Art Exhibition
Jean-Francois Colonna :: A Gateway Between Art and Science Gwen L. Fisher :: Woven Beads Dejenie A. Lakew :: Hyper Symmetries
Nathan Selikoff :: Algorithmic Artwork Chaim Goodman-Strauss :: Symmetries Robert J. Lang :: Origami
Carlo Séquin :: Mathematical Images Anne M. Burns :: Gallery of "Mathscapes" George Hart :: Geometric Sculptures
Fractal Art :: Beauty and Mathematics Seifert Surfaces Robert Straight :: Toroids and Plaids
Quilts Mike Field :: Realizations Knots
Bradford Hansen-Smith :: Wholemovement 3D-XplorMath Thomas Hull :: The mathematics of origami
Notices of the American Mathematical Society :: Cover Art    
Notices of the American Mathematical Society :: Cover Art


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People have long been fascinated with repeated patterns that display a rich collection of symmetries. The discovery of hyperbolic geometries in the nineteenth century revealed a far greater wealth of patterns, some popularized by Dutch artist M. C. Escher in his Circle Limit series of works. The cover illustration on this issue of the Notices portrays a pattern which is symmetric under a group generated by two Möbius transformations. These are not distance-preserving, but they do preserve angles between curves and they map circles to circles. See Double Cusp Group by David J. Wright in Notices of the American Mathematical Society (December 2004, p. 1322).

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Mathematical Imagery Galleries & Museums
Bridges: Mathematical Connections in Art, Music, and Science
M.C. Escher: the Official Website
Images and Mathematics, MathArchives
The Institute for Figuring
Kalendar, by Herwig Hauser
The KnotPlot Site
Mathematical Imagery by Jos Leys
Mathematics Museum (Japan)
Visual Mathematics Journal
Mathematical Imagery Articles & Resources
Art & Music, MathArchives
Geometry in Art & Architecture, by Paul Calter (Dartmouth College)
Harmony and Proportion, by John Boyd-Brent
International Society of the Arts, Mathematics and Architecture
Journal of Mathematics and the Arts
Mathematics and Art, the April 2003 Feature Column by Joe Malkevitch
Maths and Art: the whistlestop tour, by Lewis Dartnell
Mathematics and Art, (The theme for Mathematics Awareness Monthin 2003)
Viewpoints: Mathematics and Art, by Annalisa Crannell (Franklin & Marshall College) and Marc Frantz (Indiana University)