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1
Intro
2
Fractals
3
Cox Snowflake
4
Mandelbulbs
5
Mandelbrot Set
6
Household Dimension
7
Fractal Inspiration
8
Fractal Length Formula
9
Space Filling Curves
10
How to Generate a 3D Fractal
11
A Change in the Argument
12
Generating Mandelbulbs
13
Question
Description:
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.

Mandelbulbs - The Search for a 3D Mandelbrot Fractal

Tom Rocks Maths
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