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 bands, tessellations, deformations, reflections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works.

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Home > Daniel Gries: Digital Works
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"Random Walk on Sphere," by Daniel Gries

Paths meander on a sphere with each small step taken at a random turning angle. The turn angle at each step is required to stay near the previous turn angle, as if the steering wheel of a car can only be turned slowly from one position to the next as the car drives forward. Computing random walks on a sphere has to be handled carefully with local coordinates so all random directions have an equal probability. Coded in Processing. --- Daniel Gries (Hopkins School, New Haven, CT)

RandomWalkOnSphere1.jpg ParametricSurface1.jpg OrangePerlin2.jpg Jellyfish2.jpg Jellyfish1.jpg

American Mathematical Society