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Mandelbrot Fractal

This is just me having fun with the Mandelbrot fractal, my favorite piece of maths ever.

Originally made using Processing, I switched to Go so I could do faster arbitrary precision arithmetics.

See it in action!

Instructions

Create a folder named out in this repository's root:

mkdir out

Adjust the parallel execution settings for your context by tweaking the config.json file.

{
    "Height": "900.0",
    "Width": "1600.0",
    "TargetX": "-1.62917",
    "TargetY": "-0.0203968",
    "Factor": "0.9",
    "MaxItr": 1024,
    "NumberOfIterations": 1000,
    "NumberOfSkips": 30,
    "TotalGroups": 3
}

Take a look below for an explanation about each parameter.

Now, just execute the project:

make video

It takes a lot of time to generate one frame, so I recommend you grab some coffee and donuts while you wait for the task to complete.

Execution Parameters

  • Height and Width: the viewport size in pixels
  • TargetX and TargetY: the target point coordinates
  • Factor: how much to zoom in each iteration
  • MaxItr: how many iterations to determine whether a point is in the fractal or not
  • NumberOfIterations: How many zoom iterations to perform.
  • NumberOfSkips: How many zoom iterations should be skipped from the beginning. That's useful to execute the program in discrete batches instead of a single large one.
  • TotalGroups: how many threads to use