Math ImageryThe 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 ands, 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.

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Home > Daniel Gries: Digital Works
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"Chaos Game Fractal 3," by Daniel Gries

This image is created with the "Fractal Flame" algorithm, a modification by Scott Draves of the classic Chaos Game algorithm. In this algorithm, a cloud of points is formed when a particle leaps from one position to the next as it is transformed by a linear transformation, randomly selected from a small fixed collection. The colors are a result of a special averaging of colors associated to each transformation. Coded in JavaScript. --- Daniel Gries (Hopkins School, New Haven, CT)

FractalFlame1.jpg FractalFlame2.jpg FractalFlame3.jpg Jellyfish1.jpg Jellyfish2.jpg

American Mathematical Society