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 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.

Share this page


Jump to one of the galleries



Share this


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

"More fun than a hypercube of monkeys," by Henry Segerman (Oklahoma State University Stillwater, OK) and Will Segerman (Brighton, UK)

PA 2200 Plastic, Selective-Laser-Sintered, Computer Animation (on a tablet computer), 2014
This sculpture was inspired by a question of Vi Hart. This seems to be the first physical object with the quaternion group as its symmetry group. The quaternion group {1,i,j,k,-1,-i,-j,-k} is not a subgroup of the symmetries of 3D space, but is a subgroup of the symmetries of 4D space. The monkey was designed in a 3D cube, viewed as one of the 8 cells of a hypercube. The quaternion group moves the monkey to the other seven cells. We radially project the monkeys onto the 3-sphere, the unit sphere in 4D space, then stereographically project to 3D space. The distortion in the sizes of the monkeys comes only from this last step -- otherwise all eight monkeys are identical. The animation shows the result of rotating the monkeys in the 3-sphere. More information: http://www.segerman.org/pics/monkeys_128_frames_left_mult_rev_5_400.gif. --- Henry Segerman (http://segerman.org) and Will Segerman (http://willsegerman.com)

jmm15-harriss.jpg jmm15-hart.jpg jmm15-h-w-segerman.jpg jmm15-irvine.jpg jmm15-kepner.jpg