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 image is centered on -4.125, magnified 40x from the original fractal. The overall shape of this figure is just barely visible in the complete depiction, but, as shown in this image, it is heavily laced with detail. This figure is particularly interesting because it is set apart from the rest of the “main” fractal body, and further so far I had not found it repeated elsewhere in the fractal. This image was created with 100 iterations of tetration. See hi-resolution versions of Tetration Fractals. --- Stephen Ren