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 userdefined 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:

Scott Bailey, Theodore Kim, Robert Strichartz,
Inside the Levy Dragon,
American Mathematical Monthly,
Volume 109, Number 8, October 2002, pages 689703.

Michael Barnsley, Alan Sloan,
A Better Way to Compress Images,
Byte Magazine,
Volume 13, Number 1, January 1988, pages 215224.

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

Alexander Dewdney,
Mathematical Recreations,
Scientific American,
Volume 262, Number 5, May 1990, pages 126129.

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 24 August 2020.