🌵 Fractals

A Geometric Jewellery Store

Photo by Mykola/Kolya Korzh on Unsplash

Introduction

Let us listen to the late great Benoit Mandelbrot, on the Art of Roughness.

The Art of Roughness

A Little ( just a little?) of Maths…

What am \(i\)?

Dude, what’s the square root of -1?? 🙀 🙀 🙀

What can you do repeatedly to arrive at \([-1, 0]\)?

Complex Planes

The Complex Plane

Julia, and Julia, and still more Julia….

Julia, Julia, and Julia

Jewellery Shopping with Mandelbrot

Ever gone shopping for jewellery? How is the place organized? That is a good metaphor for how Mandelbrot Set is generated!!

The Mandelbrot Set

Wait, But Why?

To be Written Up.

References

1. Menger Sponge: https://blogs.scientificamerican.com/roots-of-unity/a-few-of-my-favorite-spaces-the-menger-sponge/

Use XaOS to make Mandelbrot and Julia fractals.