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.
Lines emerge from regular grid positions in the canvas, and proceed to grow according to a vector field defined by Perlin noise, a generative texture first created by Ken Perlin for computer animation in the 1982 movie "Tron". As the lines grow in this image, they slowly change color from red to yellow, producing the fiery effect. Coded in Processing. --- Daniel Gries (Hopkins School, New Haven, CT)