https://github.com/josecelano/mandelbrot-orbit

Small python script to plot the orbit of a Mandelbrot Set point
https://github.com/josecelano/mandelbrot-orbit

fractal mandelbrot orbit period period-checking plot python

Last synced: 20 days ago
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Small python script to plot the orbit of a Mandelbrot Set point

• Host: GitHub
• URL: https://github.com/josecelano/mandelbrot-orbit
• Owner: josecelano
• License: mit
• Created: 2020-06-14T20:18:41.000Z (over 4 years ago)
• Default Branch: master
• Last Pushed: 2020-06-26T20:27:32.000Z (over 4 years ago)
• Last Synced: 2024-12-17T06:07:40.977Z (20 days ago)
• Topics: fractal, mandelbrot, orbit, period, period-checking, plot, python
• Language: Python
• Size: 107 KB
• Stars: 0
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • Changelog: CHANGES.rst
  • License: LICENSE

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README

        
[![Build Status](https://travis-ci.com/josecelano/mandelbrot-orbit.svg?branch=master)](https://travis-ci.com/josecelano/mandelbrot-orbit)

## Mandelbrot Orbit

This program generates the orbit for a given Mandelbrot point. Something like:

![Orbit of a mandelbrot point](mandelbrot-orbit-sample.png)

That's the orbit of point (-1.3,0) which has period 4.

### Math

This is the Mnadelbrot Set basic formula:

```

f(z) = z² + c

```

where `z` and `c` are complex number. 

The Mandelbrot set is the set of complex numbers `c` for which the function does not diverge when iterated from z=0.

Than means, given a `c` complex number, if you apply the formula to that number `n` times using the previous result as the new `z` number, that `c` belongs to Mandelbrot Set if the sequence does not diverge.

This python script plots the series for a given complex point.

### Prerequisites

```

Python 3.6.9

pytest-5.3.5

```

### Usage

Install:

```

./bin/install

```

Run:

```

mandelbrot-orbit '{ZX}' '{ZY}' {NUM_ITERATIONS} {OUPUTFILE}

mandelbrot-orbit -0.1 0.7 100 ./mandelbrot_orbit.png

```

The script generates an image: `mandelbrot-orbit.png`

### Development

Setup:

```bash

./bin/dev-setup

```

Running the tests:

```bash

./bin/test

```

Run:

```bash

./bin/run '-0.1' '0.7' 100 ./output/mandelbrot_orbit.png

```

### Troubleshooting

You could see this error:

```

/home/josecelano/.local/lib/python3.6/site-packages/matplotlib/backends/backend_gtk3.py:195: Warning: Source ID 8 was not found when attempting to remove it

  GLib.source_remove(self._idle_draw_id)

```

It seems to be a known issue pending to release:

https://stackoverflow.com/questions/29540845/how-can-i-deactivate-warning-source-id-510-was-not-found-when-attempting-to-re

### TODO

* Although calculations are done with an arbitrary precision library, we use `matplotlib` to generate the graph and that package uses a float type for data source so we cannot plot a point with greater precision than the language float precision.