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.

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

 "Lorenz Attractor," a pancake by Nathan Shields (www.10minutemath.com)A Lorenz attractor comes from a system of three differential equations created to model convection in the atmosphere, and frequently used to show the sensitivity of a chaotic system to initial conditions. For another chaotic system, invite your kids to help design the pancakes. To see about making your own fractal pancakes, as well as other topics I find interesting as a math teacher, check out my blog. --- Nathan Shields (www.10minutemath.com)
 "Mandelbrot Set," a pancake by Nathan Shields (www.10minutemath.com)The Mandelbrot Set, which is one of the tastiest fractals, is the collection of points c on the complex plane which allow the iterated transformation z = z² + c to remain within a given threshold. I've always been awestruck by the infinite complexity that springs from that simple equation. To see about making your own fractal pancakes, as well as other topics I find interesting as a math teacher, check out my blog. --- Nathan Shields (www.10minutemath.com)
 "Pythagorean Tree," a pancake by Nathan Shields (www.10minutemath.com)This fractal, like many others, is fun to doodle at faculty meetings. Here, each triple of touching squares encloses a right triangle in a traditional visualization of the Pythagorean Theorem. To see about making your own fractal pancakes, as well as other topics I find interesting as a math teacher, check out my blog. --- Nathan Shields (www.10minutemath.com)
 "Sierpinski Sieve," a pancake by Nathan Shields (www.10minutemath.com)A Sierpinski triangle is a fractal, a structure that displays self-similarity at various scales. This fractal is created by recursively removing triangular pieces from the structure indefinitely - of course, the pancake isn't very hearty if you really do this, but you get the idea. To see about making your own fractal pancakes, as well as other topics I find interesting as a math teacher, check out my blog. --- Nathan Shields (www.10minutemath.com)

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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