The Fractal Science Kit fractal generator supports hundreds of built-in
fractal types including: Mandelbrot, Julia, Mandelbar, Cubic, Lambda,
Phoenix, Tetrate, Newton, Halley, Nova, Barnsley, Magnet, as well as studies
in convergent fractals, polynomial fractals, root-finding method based
fractals, Julia maps, fractals based on trigonometric and hyperbolic
functions, and fractals based on exponential formulas. Additional fractal
types include: Sierpinski Triangle, IFS, Strange Attractors, Rep-N Tiles,
Symmetric Icons, Symmetric Attractors, Frieze Group Attractors, Wallpaper
Group Attractors, Hyperbolic Attractors, Apollonian Gasket, Circle
Inversion, Mobius Dragon IFS, Mobius Patterns, Grand Julian IFS, Elliptic
Splits IFS, Schottky Group, Kleinian Group, and L-System.
The Fractal Science Kit fractal generator also supports a large collection
of orbit traps that can produce beautiful mathematical art when combined
with complex transformations and other supported features. The built-in
orbit traps include: Circle, Cross, Cycloid of Ceva, Epicycloid, Flower,
Folium, Hypocycloid, Lemniscate, Limacon, Line, Oscillator, Polygon,
Rectangle, Rose, Sectors, Shape, Spiral, Star of David, Super Ellipse, and
Swirl. Many unusual orbit traps are also supported, including: Apollonian
Gasket, Apollonius Grid, Borromean Rings, Circle Inversion, Circle Web,
Circular Vine, Elliptic Circles, Daisy, Epitrochoid Net, Epitrochoid Rose,
Faceted Polygon, Farris Wheels, Farris Wheels Net, Ford Circles, Fractal
Gasket, Harmonograph, Hyperbolic Circles, Isogonal Polygon, Kleinian Group,
Koch Triangle, L-System, Hypotrochoid Net, Lemniscate Net, Limacon Net,
Maurer Rose, Nephroid Net, Parabolic Circles, Parabolic Grid, Penrose Kite,
Polygon Net, Polygon Whirl, Schottky Group, Sierpinski Triangle, Sound
Ornament, Spirolateral, Star Polygon, Steiner Chain, Tangent Circles, and
Unit Circle Group.
