Convergent Orbit Trap 

Convergent Orbit Trap Examples
The Convergent Orbit Trap examples apply a Circle Orbit Trap to a Julia Fractal based on the Fractal Equation Convergent Map 1. Zoom In/OutZoom In or Zoom Out to examine different parts of the fractal. Execute the Home command on the View menu of the Fractal Window to reset the fractal to the default position/magnification, and then Zoom In to other areas. Remember that as you Zoom In, you may need to increase the Max Dwell property found in the Orbit Trap Orbit Generation section of the General page. Play with the Fractal Equation's PropertiesYou can change the equation's properties for more variations. Select the equation's properties page:
General Play with the equation's properties. Change the Julia ConstantYou can generate other Julia Fractals based on the same equation. Select the Fractal Equation:
General Uncheck the Julia checkbox, execute the Home command on the View menu of the Fractal Window to reset the Mandelbrot fractal to the default position/magnification, and use the Preview Julia command to explore the Mandelbrot's many different Julia Fractals. See Working with Julia Fractals for details. Alternatively, you can change the Julia Constant property on the Fractal Equation page, and then click the Preview Fractal toolbar button on the Properties Window to generate a preview of your change in the Preview Window. Change the Fractal EquationYou can change the Fractal Equation used to generate the fractal. Select the Fractal Equation:
General Change the Based On property to one of the following Fractal Equations:
Then execute the Home command on the View menu of the Fractal Window to reset the Mandelbrot fractal to the default position/magnification, and use the Preview Julia command to explore the Mandelbrot's many different Julia Fractals. See Working with Julia Fractals for details. Remember to navigate to the properties page for the equation (found under the equation in the page hierarchy) and play with the different properties found there. Many of the equations support properties that can be used to generate lots of different variations. Change the Orbit TrapYou can try out different Orbit Traps. Select Orbit Trap Map:
General Change the Type property to one of the following:
Each of these orbit traps have properties (on the page found under the Orbit Trap Map page) to manipulate the trap and thereby change the resulting fractal. You can also try out the other builtin Orbit Trap programs. Set Type to Instructions, and then select Instructions: Circle:
General Change the Based On property to one of the following Orbit Traps:
Each of these programs have properties (on the properties page found under the orbit trap) to manipulate the trap and thereby change the resulting fractal. There are several orbit traps not given in the above list since they are standalone fractals or are too complex to display in this context. Change the TransformationYou can apply a transformation to the initial orbit point, or to each orbit point prior to passing it to the orbit trap. Execute the Home command on the View menu of the Fractal Window to reset the fractal to the default position/magnification before you adjust the transformation. Then change the transformation and Zoom In to interesting areas of the transformed image. To apply a transformation to the initial orbit point, select the Identity transformation:
General Change the Based On property to select a transformation and then open the transformation's properties page (found under the transformation in the page hierarchy), and play with the transformation's properties. See Transformation Support for details. To apply a transformation to each orbit point prior to passing it to the orbit trap, select the Identity transformation:
General Change the Based On property to select a transformation and then open the transformation's properties page (found under the transformation in the page hierarchy), and play with the transformation's properties. See Transformation Support for details. Change the Triangle MetricYou can change the secondary coloring applied to the resulting image by setting the Triangle Metric property. Select the Triangle Metric page: Change the Triangle Metric property in the p1 section. You can change the other properties on this page too. See Triangle Metric for details. Play with ColorTo play with color, select the color controller's properties page:
General Change the Offset property, and the Power and Factor properties in the Value 2 section, to change how the colors are mapped onto the image. 
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