All these images were created with IFS Construction Kit. Click on an image for a larger view. Click on the corresponding ifs file to view the functions systems, or download the file so you can open it in IFS Construction Kit.
 Sierpinski converging to his triangle |
 Durer's Pentagons |
 Barnsley's Spleenworth Fern |
Examples from Gerald Edgar, Measure, Topology, and Fractal Geometry, Springer-Verlag, 1990. [ifs file]
 Heighway Dragon |
 Twin Dragon |
 Levy Dragon |
 McWorter's Pentigree Dragon |
 Pentadentrite |
 Eisenstein Fractions |
 Barnsley's Wreath |
 Koch Snowflake |
Examples from Kevin Lee and Yosef Cohen, Fractal Attraction: A Fractal Design System for the Macintosh, Academic Press, 1991. [ifs file]
 Eiffel Tower |
 Nautilus |
 Spiral 1 |
 Spiral 3 |
 Square Snowflake |
 Starfish |
Examples of tilings from "Fractal Tilings in the Plane," Richard Darst, Judith Palagallo, and Thomas Price, Mathematics Magazine, Vol. 71, No. 1, February 1998, 12-23. [ifs file]
 Horizontal Tiling |
 Terdragon Tiling |
 Gosper Snowflake Tiling |
 4-rep Tile |
 4-rep Tile with Symmetry |
 5-rep Tile with Symmetry |
Examples from "Number Systems With a Complex Base: A Fractal Tool for Teaching Topology," Daniel Goffinet, American Mathematical Monthly, Vol. 98, No. 3 (March 1991), 249-255. [ifs file]
 b = −0.62e2π/7 |
 b = −0.697e2π/5 |
 b = 0.2+0.6i |
 b = 0.5 + 0.5i |
 b = 0.8 + 0.2i |
 b = 0.65 − 0.3i |
Examples of Triangle Fractals motivated by Fractal World by Dave Ryan [ifs file]
 Sierpinski Triangle |
 3 row triangle Triangle |
 3 row fractal with rotations |
 4 row triangle fractal |
 2 rows with reflective symmetry |
 Opposite reflective symmetry |
Examples from Paul Bourke's website on fractals and chaos [ifs file]
 Chaos |
 Leaf |
 Maple Leaf |
 Spiral |
 Mandelbrot like |
 Pascal Gray Code |
 Tree |
 Tree |