Circle Orbit Trap - Fractal Science Kit Example
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The Circle Orbit Trap example displays a circle Orbit Trap.
Experiment 1
Change the properties to define the Circle. To do this, select the Circle properties page:
General
Mandelbrot / Julia / Newton
Orbit
Trap
Orbit Trap Map
Circle
Increase/decrease the Line Width property to change the width of the curve used to define the trap. You can also change the Center and Radius properties to control the location and size of the trap on the complex plane.
Experiment 2
Use the Preview Julia command to explore the Julia fractals for this example.
Experiment 3
Try out different Fractal Equations. To do this, select the Fractal Equation: Trig 6 properties page:
General
Mandelbrot / Julia /
Newton
Fractal Equation: Trig 6
Change the Based On property to any of the different Fractal Equations. Note that a few of the equations do not lend themselves to an orbit trap representation (e.g., Barnsley, Julia Map). If the image does not look good, simply select another equation. Most equations look great when used with orbit traps.
For each equation you try, make sure to select the equation's Properties page (if found) and play with the different settings.
Experiment 4
Change the transformation applied to the base fractal. To do this, select the transformation's Properties page:
General
Mandelbrot / Julia / Newton
Transformation
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.
Experiment 5
Change the transformation applied to the orbit point prior to applying the trap. To do this, select the transformation's Properties page:
General
Mandelbrot / Julia / Newton
Orbit
Trap
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.