Fractals via iterated contraction mappings. Maple Procedures and art gallery Send e-mail to : Professor Korevaar Links: Professor Korevaar's home page Department of Mathematics FRACTALS! Barnsley fern   Java code to draw nice fern fractals. Lecture Notes:     scaling.pdf"   classical scaling and scaling with affine transformations .     classicalfractals.pdf   classical fractals, before computers.     IFSfractals.pdf   iterated function system fractals Maple Procedures. The files ending in ".mws" are Maple worksheets. Save them to your directory or computer, and open them from Maple.     Lpictures.mws   This Maple file contains the procedures to define affine maps and draw the L-mapping picture.       Lpictures.pdf   Are you worrying that one of your affine transformations might not be a Euclidean contraction, in which case you may not be generating an IFS fractal? Check with the procedure below:     STRETCHTEST.mws         STRETCHTEST.pdf       Examples:       Sierpinski.mws   The code to generate the contractions, the L-picture, and the Sierpinski triangle. You must first enter the commands from Lpictures.mws (or in Maple 10 or higher, copy the Lpictures routines into the Sierpinski.mws file, and exectute them there.)           Sierpinski.pdf       staircase.mws   The Devil's staircase, which is the graph of the Cantor function, is an interesting fractal graph.           staircase.pdf       bush.mws   A bush made with only two generating functions! Art Gallery: These are some of my favorite student constructions, exported as ".jpg" files from Maple. The .pdf file has pictures of the jpg images below:       fractalexamps.pdf       algaetemp.jpg   template       algae.jpg   algae       crosstypetemp.jpg   template       crosstype.jpg   cross       diamondpatterntemp.jpg   template       diamondpattern.jpg   diamond pattern       flamewavetemp.jpg   template       flamewave.jpg   wave of flames       leavestemp.jpg   template       leaves.jpg   leaves swirling in the wind       mountaintemp.jpg   template.       mountain.jpg   mountain       pinetreetemp.jpg   template.       pinetree.jpg   snow-tinged pine tree       punkrockertemp.jpg   template       punkrocker.jpg   punkrocker hair       snowflaketemp.jpg   template       snowflake.jpg   complete Koch snowflake (First generate 1/3 of it, then rotate pieces to get entire flake.)       treetemp.jpg   template.       tree.jpg   Gothic tree.       weavetemp.jpg   template       weave.jpg   weave design for rug