leaf_chaos

leaf_chaos, a MATLAB code which applies a randomized linear map to a starting point to compute a dot-plot image of a leaf.

Licensing:

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

Languages:

leaf_chaos is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

leaf_chaos_test

cross_chaos, a MATLAB code which creates a dot-plot of a cross by repeatedly applying a randomized linear transformation to a starting point.

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

fern_chaos, a MATLAB code which applies a randomized linear map to a starting point to compute a dot-plot of the Barnsley fractal fern.

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

Reference:

1. Scott Bailey, Theodore Kim, Robert Strichartz,
   Inside the Levy dragon,
   American Mathematical Monthly,
   Volume 109, Number 8, October 2002, pages 689-703.
2. Michael Barnsley, Alan Sloan,
   A Better Way to Compress Images,
   Byte Magazine,
   Volume 13, Number 1, January 1988, pages 215-224.
3. Michael Barnsley,
   Fractals Everywhere,
   Academic Press, 1988,
   ISBN: 0120790696,
   LC: QA614.86.B37.
4. Michael Barnsley, Lyman Hurd,
   Fractal Image Compression,
   Peters, 1993,
   ISBN: 1568810008,
   LC: TA1632.B353
5. Alexander Dewdney,
   Mathematical Recreations,
   Scientific American,
   Volume 262, Number 5, May 1990, pages 126-129.
6. Bernt Wahl, Peter VanRoy, Michael Larsen, Eric Kampman,
   Exploring Fractals on the Mac,
   Addison Wesley, 1995,
   ISBN: 0201626306,
   LC: QA614.86.W34.

Source Code:

• leaf_chaos.m, the source code;