Project: Projecting Fractals onto the Riemann Sphere

Feb 26

Click to see gallery of full-sized images…

Introduction

Having explored many of the classic (and not classic) representations of the Mandelbrot Set, I wanted to create more 3D representations of the fractal - and after happening upon this video, I knew that I wanted to further explore Riemann Sphere projections. This visualization can show both the classic and inverse Mandelbrot at the same time, and provided me with a new way to visualize those fractals I had previously generated. While I’ve added some images here that showcase this visualization, a more expansive gallery with animations can be found here given that it is more difficult to visualize dynamic 3D objects as a static image.