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.
This is the main fractal, and all the other images in this gallery are zoomed in from here. This image is centered on the origin, with the real axis ranging from -6 to 6 and the imaginary ranging from -3.375i to 3.375i . This image was generated with 100 iterations of tetration. See hi-resolution versions of Tetration Fractals . --- Stephen Ren