3d_chaotic_ode.html
A thread on Google reporting a simple three variable set of difference equations which results in a chaotic sequence.
3n1.gif
A trio of fractal graphics, used as image tokens.
Java_Fractals/
A collection of Java applets which produce fractals. The source code is also provided. A couple were written using C on an Apple MacIntosh, the code is around on paper but I have never bothered to port it to a current vintage machine.
akira.gif
A handmade fractal constructed by modifying the graphic triangle.gif (below) then superimposing an inverted version to create the Star of David shape but sequencing the segment copies so that they overlap in an interesting manner. Named for Akira Bergman whose construction of a fractal star of David led me to attempt this construction.
dim_list.html
A white paper sketching a concept for the application of fractal dimensions more widely.
fractal_stars/
A collection of material produced by replacing the points of a star with a star whose points are also constructed that way. (recurse indefinitely.) Assuredly self-similar! Done using postscript as a language. Some of the images include a listing for the postscript code. Also, note that when constructed as a filled graphic, the seven point fractal star has internal cavities which seem close to the Mandelbrot in shape.
links.html
A scrollable list of fractal sites. Includes these pages (at the bottom.) Originally, this was the introduction page for this directory.
penrose.gif
A graphic for creating a background composed of triangles which Roger Penrose discovered for tiling the plane with a non-repeating pattern. In theory, you cannot use such a filled plane for background. How did I do it? I cheat! Look closely.
rasterless/
A java applet demonstrating a technique for plotting a fractal by sampling (pseudo) randomly across the entire image field and gradually completing the whole image. With today's computers, the computing is so fast it hardly makes a difference. When originally developed, this technique would allow the user to see the general shape of a graphic without waiting several minutes (or hours!) for all the details to be completed.
source/
A collection of old text files with the c language source for many common fractals and some not so common ones.
tetrahedral_mirror.jpg
An attempt to construct (using an image editor) an analog of wada basin fractals.
triangle.gif
A better attempt at constructing (using an image editor) an analog of the wada basin fractal.The wadabasin fractal is the result of the multiple reflections in a stack of four mirrored balls, arranged in the usual cannonball stack. A somewhat less impressive image is obtained by arranging four triangular flat mirrors in a tetrahedron configuration. (I used CDs)
