fern

fern_chaos, a Python code which applies a randomized linear map to a starting point to compute the Barnsley fractal fern.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

fern_chaos is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

cross_chaos, a Python code which creates a dot-plot of an elaborate cross by repeated applying a randomized linear transformation to a starting point.

dragon_chaos, a Python code which creates a dot-plot of a dragon by repeated applying a randomized linear transformation to a starting point.

python_plots, a Python code which uses plotting to illustrate a mathematical structure, such as an iterative map, a fractal, a curve or surface.

Reference:

1. Michael Barnsley,
   Fractals Everywhere,
   Academic Press, 1988,
   ISBN: 0120790696,
   LC: QA614.86.B37.
2. Cleve Moler,
   Experiments with MATLAB,
   ebook: https://www.mathworks.com/moler/exm/index.html

Source Code:

• fern_chaos.py, calls all the tests.
• fern_chaos.sh, runs all the tests.
• fern_chaos.txt, the output file.

• fern_chaos.png, a PNG file of the image, using 10000 points;