๐ŸŒต Fractals

A Geometric Jewellery Store

Introduction

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

A Little ( just a little?) of Mathsโ€ฆ

What am \(i\)?

Dude, whatโ€™s the square root of -1?? ๐Ÿ™€ ๐Ÿ™€ ๐Ÿ™€

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

Complex Planes

Julia, and Julia, and still more Juliaโ€ฆ.

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!!

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.

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