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.

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..

Home > 2015 Mathematical Art Exhibition
Click to view full size image

"Partitions Study: On the Grid," by Margaret Kepner (Washington, DC)

Archival Inkjet Print, 2014
A multiplicative partition of a number is an expression consisting of integer factors that produce the number when multiplied together. An unordered multiplicative partition is usually called a factorization. This work presents each of the factorizations of the integers from 1 to 28 in a symbolic representation based on subdividing a square. For example, "7 x 3" is a factorization of 21. It is represented by a square divided into a grid of 7 rows and 3 columns – see the symbol in the lower-left corner. The uniform grids corresponding to square numbers are highlighted in red. This piece is formatted so it can be cut in a spiral fashion and folded to create a 64-page accordion book of factorization diagrams. --- Margaret Kepner (

jmm15-h-w-segerman.jpg jmm15-irvine.jpg jmm15-kepner.jpg jmm15-meyer.jpg jmm15-mitchell.jpg

American Mathematical Society