Video: Visualization of Riemann Surfaces

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This animation depicts a disk of the complex plane as it is acted upon by a range of polynomial equations.

For the most part, f(z) = z*(z^k - 1) for k=1 to 6.
A blend of three different functions is used to control the height coordinate.
Spherical shapes are generated using stereographic projection.

I wrote custom scripts to model and animate the geometry.
For presentation I used a dielectric glass material and a 'final gather' lighting setup.
Views: 1,234
Added: 3 years ago.
Topic: Differential Geometry

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