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

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


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


ranmap is available in a FORTRAN90 version.

Related Data and Programs:



  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,
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  3. Michael Barnsley,
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    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,
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    Addison Wesley, 1995,
    ISBN: 0201626306,
    LC: QA614.86.W34.

Source Code:

Last revised on 24 August 2020.