An origami crab folded from one sheet of paper by Robert J. Lang, with the crease pattern used to make the object.

Mathematical Imagery explores the connection between mathematics and art, a link that 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. This site is presented by the American Mathematical Society to showcase some of the best math visualizations.