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Math ImageryThe 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.

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Home > Mike Field :: Realizations

"NeuralNet," by Mike Field (University of Houston)

"NeuralNet" is is part of the generating tile of a planar repeating pattern of type pgg. Repeating patterns of this type have no reflection symmetries but do have many glide reflection symmetries as well as translational symmetries and two-fold centers of rotation. The absence of reflectional symmetries often leads to very fluid and dynamic patterns. The coloring reflects the density of the invariant measure. --- Mike Field

DNA_QuiltAMS.jpg saw.gif RedCenterCUTx.jpg NeuralNet.jpg hex6.jpg
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 Art Exhibit at University of Richmond
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)