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 ands, 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.

 Explore the world of mathematics and art, share an e-postcard, and bookmark this page to see new featured works..

Most viewed - Simon Beck's Snow and Sand Patterns
 "Sierpinski Triangle," by Simon Beck1239 viewsPattern 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 (http://www.facebook.com/snowart8848)
 "3D Koch at Arc2000," by Simon Beck1069 viewsPattern made in snow with snowshoes. This is from my Facebook album titled Reinterpretations. This means the photos have been modified using the well-known program by Adobe. In general I shrink the horizontal dimension, darken the highlights a little, increase the contrast, shift the blue/red balance towards the blue, and increase the colour saturation. The grid of hexagons was surveyed working outwards from the centre, then the fractal exterior was added. --- Simon Beck (http://www.facebook.com/snowart8848)
 "Tsunami Memorial," by Simon Beck1009 viewsPattern made in snow with snowshoes. 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
 "Snow Pattern #5 at ARC 2000," by Simon Beck960 viewsPattern made in snow with snowshoes. The attempt at the 3D effect has been reasonably successful except where I ran out of reasonably flat snow! These bluish pictures have been processed in Photoshop and distorted to improve the proportions. This was done with Roberto Lebel at ARC 2000, a ski area in France. --- Simon Beck (http://www.facebook.com/snowart8848)
 "Circles 16 at Arc2000 Lakes 2012," by Simon Beck896 viewsPattern made in snow with snowshoes. This was done using the faintly visible ghost of an earlier design on the same site. Enough was visible despite recent snow fall for me to be able to find the corners of the roughly triangular figures without having to do any surveying. One person likened this image to a crocheted doily, another to a crop circle. This was done in 2012 at ARC 2000 is a ski area in France. --- Simon Beck (http://www.facebook.com/snowart8848)
 "Mandelbrot set in the sand," by Simon Beck (https://www.facebook.com/snowart8848/) 527 viewsPattern made of footprints in the sand and a rake as a tool at Brean Down in the U.K. It's a race against the tide, it's nine hours of furious work. Find a time lapse video of the creation at http://youtu.be/MVzGyAAtHiU --- Simon Beck (https://www.facebook.com/snowart8848/)
 "Mandelbrot set in the sand, view two" by Simon Beck (https://www.facebook.com/snowart8848/) 479 viewsPattern made of footprints in the sand and a rake as a tool at Brean Down in the U.K. It's a race against the tide, it's nine hours of furious work. Find a time lapse video of the creation at http://youtu.be/MVzGyAAtHiU --- Simon Beck (https://www.facebook.com/snowart8848/)
 "Serpinski Triangle at Peisey-Vallandry," by Simon Beck (https://www.facebook.com/snowart8848/)409 viewsPattern made in snow with snowshoes at Peisey-Vallandry. --- --- Simon Beck (https://www.facebook.com/snowart8848/)
 "Sierpinski Tringle at Brean Down," by Simon Beck (https://www.facebook.com/snowart8848/) 364 viewsPattern made of footprints in the sand and a rake as a tool was made at Brean Down, UK. It's a race against the tide, it's nine hours of furious work. -- Simon Beck (https://www.facebook.com/snowart8848/
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 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