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.
"Escher's 'Belvedere'," copyright Andrew Lipson. Made of Lego ®
Daniel Shiu and I worked on this as a joint project. We discovered a few nasty surprises that Escher had hidden in the picture (other than the obvious one). And we had to get the camera position just right for the picture to come out OK. The domes on top, and the slightly protruding cell wall at the near end of the bottom level, were both interesting exercises in half-brick spacing, and many of those useful 1x2 plate offset bricks with the single stud on top were used. We took a small liberty with the guy in the red hat at the bottom of the picture. In Escher's original, he's holding an "impossible cube", but in our version he's holding an impossible Lego® square. Well, OK, not quite impossible if you've got a decent pair of pliers (ouch). See photos of the construction in progress . Lego® is a trademark of The Lego Group. On my website I post images of M.C. Escher's original works (C) Cordon Art, Baarn, the Netherlands on his website, used with permission, so that you may compare with the Lego® creations. All rights reserved. --- Andrew Lipson (http://www.andrewlipson.com/mathlego.htm)