https://github.com/jeremy-rifkin/mandelbrot-trajectories

Looking at shapes generated from tracing escape trajectories of points in the Mandelbrot set.
https://github.com/jeremy-rifkin/mandelbrot-trajectories

Last synced: 9 days ago
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Looking at shapes generated from tracing escape trajectories of points in the Mandelbrot set.

• Host: GitHub
• URL: https://github.com/jeremy-rifkin/mandelbrot-trajectories
• Owner: jeremy-rifkin
• Created: 2021-08-23T22:50:44.000Z (about 3 years ago)
• Default Branch: master
• Last Pushed: 2024-05-05T16:37:35.000Z (6 months ago)
• Last Synced: 2024-05-05T17:42:14.377Z (6 months ago)
• Language: C++
• Homepage: https://rifkin.dev/projects/mandelbrot-trajectories/
• Size: 1.84 MB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 1
• Metadata Files:
  • Readme: README.md

Awesome Lists containing this project

README

        
## Mandelbrot Trajectories

This is an extension / fork of a [previous project](https://github.com/jeremy-rifkin/mandelbrot-orbits).

The Mandelbrot is defined as points $c$ for which the iteration of $z_{n+1} = z_{n}^2 + c$ does

escape towards infinity.

When complex numbers are multiplied, they appear to rotate on the complex plane. Tracing the

trajectories can lead to cool shapes - spirals and stars.



How many points do these spirals/stars have based off of their starting location?

When investigating algorithms to [identify periods of orbits in the Mandelbrot](https://github.com/jeremy-rifkin/mandelbrot-orbits) I came up

with an algorithm that can quantify apparent "shapes". Check out the inter-active app

[**here**](https://rifkin.dev/projects/mandelbrot-trajectories/).

The result of the algorithm is this, displaying the various regions that will produce various

shapes:

![](render.png)

### Project layout:

General overview:

```

bin         - compiled binaries, object files, and dependency files

gui         - typescript and sass gui code

gui-dist    - html code and compiled js

screenshots - trajectory screenshots used on the web page and README

src         - C++ render code

```

Kickstart:

```bash

npm i

make

./bin/mandelbrot.exe

webpack

cp -rv render.png screenshots gui-dist

```