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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# "Magic Square 8 Study: A Breeze over Gwalior," by Margaret Kepner (Washington, DC)

## 20" x 20", archival inkjet print, 2013 "I enjoy exploring the possibilities for conveying ideas in new ways, primarily visually. I have a background in mathematics, which provides me with a never-ending supply of subject matter. " This work is based on a magic square of order 8, expressed in a visual format similar to a traditional quilt pattern. The magic square, known as the Gwalior Square, is an 8x8 array of numbers from 0 to 63, such that every row and column adds up to 252, the 'magic constant.' The two main diagonals, as well as every broken diagonal, also sum to 252. The numbers in the square are represented in base 2 and base 4. Nested squares serve as the number places in the base systems, and suggest the Log Cabin quilt structure. For each of the 64 squares, half is shown in base 2 and the other half in base 4. The squares are oriented to create the 'pinwheel' quilt pattern. This pattern groups together 2x2 arrays of 4 numbers, all of which sum to 126. --- Margaret Kepner (http://mekvisysuals.yolasite.com)

 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