Mandelbulbs - The Search for a 3D Mandelbrot Fractal

Embark on a captivating journey to Delft, Netherlands, in search of the elusive 3D Mandelbrot Set, known as a 'Mandelbulb'. Explore the fascinating world of fractals, starting with their definition and examples from nature, before creating the Koch Snowflake - a shape with infinite perimeter but finite area. Delve into the 2D Mandelbrot Set and the concept of Hausdorff Dimension, illustrated by the Sierpinski Carpet Fractal. Investigate the Coastline Paradox and Space-filling Curves before venturing into 3D fractals like the Menger Sponge. Finally, utilize the White-Nylander Formula to generate stunning 3D renderings of the Mandelbrot Set, unveiling the mesmerizing Mandelbulbs.

Intro
Fractals
Cox Snowflake
Mandelbulbs
Mandelbrot Set
Household Dimension
Fractal Inspiration
Fractal Length Formula
Space Filling Curves
How to Generate a 3D Fractal
A Change in the Argument
Generating Mandelbulbs
Question