ranmap

ranmap, a FORTRAN90 code which carries out iterated weighted affine mappings and creates EPS images of the results.

The program is interactive, allowing the user to choose some predefined mappings, including

• the cross;
• the dragon;
• the fern;
• the leaf;
• the Levy dragon;
• the tree;
• the triangle;
• a random mapping;
• a user-defined mapping;

Thanks to Marc Berger of Carnegie Mellon University for introducing me to this topic!

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

ranmap is available in a FORTRAN90 version.

Related Data and Programs:

ranmap_test

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:

• ranmap.f90, the source code;
• ranmap.sh, compiles the source code;