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.

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# "The Three Gates," by Benjamin Wells (University of San Francisco, CA)

## Inkjet on transparencies, mounted on acrylic layers in an acrylic frame hung by a laced beadchain, 11" x 9", hung by a beadchain, plus 11"x7" explanatory placard 2009 (updated from 2002). Symbols from logic map a classical aphorism about watching one's tongue into a visually recursive statement. In addition, the colors of red and green play on the binary nature of electronic gates. An accompanying placard gives the aphorism and lists the symbols used. "The art offered is a melding of symbolism from science and mysticism. The flexibility of computer-aided design and execution supports this blend of ancient and modern expression. I used to think in threes because my name ends in III. (For more about small numbers, see Michael Schneiderâ€™s 'Constructing the Universe.') Although I am now partial to 8, 17, 36, 1111, and 10^10, I wholly support only 1 alone. But three things can start a sequence, give a contrast or equivalence, or triangulate. Here they pose visual riddle. Math is fun, and art can help make that clear. When it can also take a supportive, spiritual, inspirational, cooperative color, then it is a harbinger of a new humanity. I hope to make art that way." --- Benjamin Wells (University of San Francisco, CA)

 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 Month in 2003) MoSAIC - Mathematics of Science, Art, Industry, Culture Viewpoints: Mathematics and Art, by Annalisa Crannell (Franklin & Marshall College) and Marc Frantz (Indiana University) Visual Insight, blog by John Baez