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.
"Sculpture System No. 5 (2009)" by Richard Grimes (www.richardgrimes.net) and Edmund Harriss (University Of Leicester)
Deltahedra are polyhedra where all the faces are regular triangles. Sculpture system 5 is a system to build any deltahedron using a triangular shapes that hinge together. Using just twenty of these shapes a huge variety of polyhedra can be made. The actual sculpture was built by a group of volunteers who also able to design the final shape that was actually built. --- Edmund Harriss