Orbit Traps - Part 4

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In Part 4 of the tutorial, we are going to try out a few more Orbit Trap Controllers.

Change the Based On property to Gradient Map - Value Sum.

This controller maps the sum of 2 sample point values to a gradient index.

Select the program's Properties page and change Color Scheme to 4 Colors - Cornflower Blue, Steel Blue, Alice Blue, Slate Blue, and in the Value 2 section, set Factor to 2.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Value Sum)

Here, we combine the sample's Trap Angle and Trap Count to color the trap. The Trap Count lets you see the traps for higher dwells painted onto the traps with lower dwells.

Next, set Color Scheme to 4 Colors - Copper, Gold, Silver, Bronze, and in the Value 2 section, set Value to Magnitude, Power to 2, and Factor to 1.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Value Sum)

Here, the sample's Trap Angle and Magnitude are used to color the traps.

Next, set Color Scheme to 4 Colors - Forest Green, Cadet Blue, Alice Blue, Slate Gray, in the Value 1 section, set Value to Alternate 1 Value and Power to 0.25, and in the Value 2 section, set Factor to -1.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Value Sum)

This combination of properties colors the traps based on the sample's Magnitude and the data associated with Alternate Mapping 1 setting (Minimum Value).

Change the Based On property to Gradient Map - Striped Values.

This controller maps 2 sample point values to a gradient index, and uses a 3rd value to switch between the 2 indexes. This injects a striped pattern into the design based on the 3rd value.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Striped Values)

Select the program's Properties page and examine the settings. This controller switches between 2 gradient mappings based on a 3rd data value. The Stripe section controls which sample field (Dwell (Raw)) is used to toggle the gradient mappings which are defined in the Value 1 and Value 2 sections. This creates the striped appearance mapped onto the traps.

In the Value 2 section, set Value to Magnitude and Factor to 1.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Striped Values)

Here we have changed the sample field (Magnitude) used to define the 2nd gradient mapping.

Next, go back to the Gradient Map - Striped Values page and scroll down to the 3D Mapping section, and check Apply Depth near the bottom of the section.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Striped Values)

This adds a metallic quality to the traps.

Select the program's Properties page and change the properties to match those below.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Striped Values)

Here, we have changed the field we use to define the stripes (Alternate 1 Value) and set both Value 1 and Value 2 to Magnitude but with different gradient offsets. This has the effect of overlaying the Alternate 1 Value pattern on top of the pattern based on the sample's Magnitude.

Change the Based On property to Gradient Map - Dwell/Index.

Unlike the controllers we have seen thus far, this controller does not allow you to to choose 1 of the gradients included in the controller's gradient list to color the traps. Instead, this controller uses sample data to choose which gradient to use. By default, Sample.TrapDwellRaw is used to index into the list of gradients so we color each trap dwell using a different gradient.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Dwell/Index)

Notice how the gradient changes as the trap's dwell increases.

Select the program's Properties page and set Value to Magnitude in the Value Map section.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Dwell/Index)

Once again, the sample's Magnitude is painted onto the surface of the orbit trap but the effect is richer since we vary the gradient for the different trap dwells.

Next, set Value to Alternate 1 Value and Power to 0.25 in the Value Map section.

Execute the Display Fractal command on the Tools menu of the Fractal Window to generate the fractal image.

Orbit Trap (Gradient Map - Dwell/Index)

In this image, the sample's Alternate Mapping 1 setting (Minimum Value) is painted onto the trap. By changing the Alternate Mapping 1 you can color the trap in many different ways.

Several other combinations of Value and Power also product nice results. For example, try:

  • Value set to Trap Count and Power set to 0.25
  • Value set to Alternate 1 Angle and Power set to 1
  • Value set to Alternate 1 Index and Power set to 0.25

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