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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)

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

American Mathematical Society