Domain Coloring

Summary

An algorithm for numerically solving certain 2d equations. Help fund future projects: patreon.com/3blue1brown An ... Algorithm Archive: algorithm-archive.org/contents/domain_coloring/domain_coloring.html Source code: In chapter ... I wanted to do something special for Grant Sanderson's (of fame) Summer of Math Exposition 2, so I decided to ... a window onto a complex meromorphic function f(z). Hue is the phase of f, so every zero becomes a rainbow pinwheel spinning ... August Theme is Functions! I coded up an abstract class Function implemented by Monom, Sum, Product, Quotient, Power and ... 7:07 - Mapping hue and brightness 8:11 - Contour maps 8:43 - This animation shows how the Teardrop fractal (variation of the Mandelbrot Set: z^p+c^-1, p=2) changes when p ranges from -8 to ... The Laplace Transform, Fully Animated — Pole Surface + Approximating sin in complex space using the formula sin(x) = sum ( (-1)^n * x^(2n+1) / (2n+1)! ) The summation is from n=0 to the ... Made in Ultra Fractal 6.05 This video shows the plot (z from -10.66 - 6i to 10.66 + 6i) of complex tetration (2 + t i)^^z where t is ...