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:
-
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
-
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 24 August 2020.