IFS Construction Kit Gallery

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 = −0.62e^2π/7	b = −0.697e^2π/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	$3 row triangle fractal$ 3 row triangle Triangle	3 row fractal with rotations	$4 row triangle fractal$ 4 row triangle fractal
2 rows with reflective symmetry	Opposite reflective symmetry