Sierpinski Cycloid

The Sierpinski Cycloid example injects a cycloid variation into the classic Sierpinski N-gon.

Experiment 1

Change the attractor. To do this, select the equation's Properties page:

General
    Orbital / IFS / Strange Attractor
        Orbital Equation: Sierpinski N-gons
            Properties

Change any of the property values. It works best to set Vertices relative to the Cusps property found on the cycloid variation's properties page (see Experiment 2). Set Cusps as a multiple of Vertices or vice versa, or set both with a common multiple (e.g., Vertices = 6 and Cusps = 9).

Experiment 2

Change the cycloid properties. To do this, select the variation's Properties page:

General
    Orbital / IFS / Strange Attractor
        Orbit Variation
            Cycloid
                Properties

Change any of the property values.

Experiment 3

Change the transformation applied to the base fractal. To do this, select the transformation's Properties page:

General
    Orbital / IFS / Strange Attractor
        Transformation 1
            Composite Function
                Properties

Set the F(z) property to one of the complex functions in the list. You can change some of the other properties on this page for more variations.