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Visualization of Riemann Surfaces
Автор: Dugan Hammock
Загружено: 11 янв. 2011 г.
Просмотров: 37 776 просмотров
Описание:
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.
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![Imaginary Numbers Are Real [Part 13: Riemann Surfaces]](https://ricktube.ru/thumbnail/4MmSZrAlqKc/mqdefault.jpg)
