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.
The design(s) are a 5 pointed version of the 'snowflake curve' named by the German mathematician Von Koch. A lot of the inspiration for the snow art comes from the gardens in the temples in Kyoto, where sand is raked in patterns that are the closest thing I have seen elsewhere to the effect I achieve with snow. This work, created on the reservoir at Arc2000, took somewhere between 10 and 15 hours, and was completed in March 2012. On my Facebook there is an incomplete version of this photo that shows the skeleton of the smaller 5-pointed figures, that shows how this has been done. --- Simon Beck (http://www.facebook.com/snowart8848