dragon_chaos
dragon_chaos,
a Python code which
creates a dot-plot of a dragon by repeated applying
a randomized linear transformation to a starting point.
Licensing:
The information on this web page is distributed under the MIT license.
Languages:
dragon_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 Programs:
cobweb_plot,
a Python code which
displays a cobweb plot illustrating the process of function iteration,
by John D Cook.
collatz,
a Python code which
computes and analyzes the Collatz
sequence, also known as the hailstone sequence or 3n+1 sequence;
julia_set,
a Python code which
computes and plots a Julia set,
the set of points in the complex plane that remain bounded
under a mapping of the form f(z) = z^2+c.
mandelbrot_orbit,
a Python code which
generates the Mandelbrot iterates arising from a single
starting point;
References:
-
Scott Bailey, Theodore Kim, Robert Strichartz,
Inside the Levy Dragon,
American Mathematical Monthly,
Volume 109, Number 8, October 2002, pages 689-703.
-
Michael Barnsley, Alan Sloan,
A Better Way to Compress Images,
Byte Magazine,
Volume 13, Number 1, January 1988, pages 215-224.
-
Michael Barnsley,
Fractals Everywhere,
Academic Press, 1988,
ISBN: 0120790696,
LC: QA614.86.B37.
-
Michael Barnsley, Lyman Hurd,
Fractal Image Compression,
Peters, 1993,
ISBN: 1568810008,
LC: TA1632.B353
-
John D Cook,
Randomly generated dragon,
https://www.johndcook.com/blog/2025/08/16/randomly-generated-dragon/
Posted 16 August 2025.
-
Darst, Palagallo, Price.
Fractal Tilings in the Plane.
Mathematics Magazine [71]:1, 1998.
-
Alexander Dewdney,
Mathematical Recreations,
Scientific American,
Volume 262, Number 5, May 1990, pages 126-129.
-
Bernt Wahl, Peter VanRoy, Michael Larsen, Eric Kampman,
Exploring Fractals on the Mac,
Addison Wesley, 1995,
ISBN: 0201626306,
LC: QA614.86.W34.
Source Code:
Last revised on 17 August 2025.
