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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.

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 FILE 15/24

# "Hope in Base 8," by Sally Eyring (Watertown, MA)

## Woven cotton, 2013 Weaving technology is closely related to the computer industry - Hollerith cards were a direct inspiration from dobby looms. In this piece the word HOPE is translated into a weaving pattern using an 8 shaft loom. Using ANSII codes - A is represented as 101, B as 102, etc. up to Z represented as 132. First 100 was subtracted from each code to create a workable weave structure. Next, 1 was added to each code (using base 10) because weaving software programs number the shafts from 1 to 8. That resulted in representing A by 12, B by 13, etc. with Z represented as 43. Thus, the word "HOPE" is represented by 8 threads. Rotating the set of numbers by 1, 7 times, created a twill weave with a repeat of 64 threads, producing "HOPE", woven in base 8. The colors depict the colors of a sunrise; the red and orange raising out of the black of night. --- Sally Eyring (http://sallyglassdreams.blogspot.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