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.

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Home > Simon Beck's Snow and Sand Patterns

"Sierpinski Triangle," by Simon Beck

Pattern made in snow with snowshoes.

This work is a variation on a Sierpinski Triangle. The S Triangle is a simple iterative process. Start with the largest triangle, find the midpoints of each edge, draw another triangle linking the midpoints, resulting in 4 triangles, then leave the middle triangle alone and repeat the process on the 3 other triangles. --- Simon Beck (

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American Mathematical Society