Advanced Topics in Applying Textures
This tutorial assumes you are already familiar with the material in The Basics of UltraFractal 5 and Its Use of Classes, Changing and Exploring Plug-ins, Transforms as Plug-ins and Application of Texture. As for the first four tutorials we will be using Orbit Traps written by Damien Jones.
One of reasons the new object-oriented version of Ultrafractal offers so many more new approaches to fractal art is that plug-ins can wrap around, or encapsulate other plug-ins to greatly expand the capabilities of a formula. With this tutorial we will be exploring several variants of plug-ins for the Trap texture slot. In the first example we will use a trap shape that normally has little utility for creating textures. This will be accomplished by using TrapShape Block, which plugs into the Trap texture position, and provides additional slots for Trap Position, Trap Shape and the place holder Null Transfer. The key to this example is the Trap Postion slot, into which we will be plugging another wrapper - Transform Merge. Transform Merge has slots for up to 10 transforms. We will use the first two, putting Trap Tiling in the top slot and Trap Position in the next slot. Trap Tiling is the key to producing textures with ordinary trap shapes. Gear Curve will be used as the Trap shape, and Trap Transfer will be plugged into the transfer slot.
Parameters have been changed from their defaults for all the plug-ins in TrapShape Block. Starting with Trap Tiling, tile spacing has been set to (0.03,0.03). This determines the size of the tile grid. In Trap Position trap scale has been decreased to 0.008 so that a copy of the trap shape will fit into each tiling block. For Gear Curve the polar integer is set to 5, creating a 5-pointed star. Finally in Trap Transfer the pre-scale value has been set to 0.5 and the transfer function to log(). The trap transfer values were needed to help maintain the correct shape and coloring of the trap.
Here is the upr. The user should copy it to UltraFractal so that the plug-ins and parameter settings can be examined. The user is encouraged to vary the parameters to see their effects.
Tutorial_8 {
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}
Tutorial_8 image
In the next upr TrapShape Block was used again in place of Trap Texture. For the Trap shape a very special wrapper plug-in was used, called Formula + Gradient Coloring Trap. This wrapper contains a Location plug-in, which is actually a transform, a fractal formula plug-in, and slots for inside and outside coloring of the fractal formula. Many fractal formulas, especially Julia type formulas, often have enough detail to be excellent candidates for texturing. In this example we will use Function Barnsley 1 Julia which is in reb.ulb with outside coloring Exponential Smoothing Gradient, which is also in reb.ulb. No changes were made to Trap Position in the TrapShape Block The maximum iterations in the fractal formula were increased to 50. This slows down the rending but gives better definition to the texture. No changes were made to Exponential Smoothing Gradient, but note that this outside coloring formula also has an additional Texture trap plug-in. This will be left as Flat Texture for this upr. Null Transfer was replaced with Trap Transfer in the TrapShape Block, with pre-scale set to 2 and a transfer function of log().
Here is the upr. The user should copy it to UltraFractal so that the plug-ins and parameter settings can be examined. The user is encouraged to vary the parameters to see their effects.
Tutorial_9 {
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}
Tutorial_9 image
The third example in this tutorial is very similar to the last one (the Tutorial_8 upr and image). The primary change is that the Texture shape within Exponential Smoothing Gradient has a plug-in, so the texture comes from both the fractal formula and the texture plugin! The plug-in used is Monnier's S.F.B.M. II Texture.
Here is the upr. The user should copy it to UltraFractal so that the plug-ins and parameter settings can be examined. The user is encouraged to vary the parameters to see their effects.
Tutorial_10 {
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}
Tutorial_10 image
The last upr is the most complex. As with the previous examples it starts with substituting TrapShape Block for Trap texture. The Trap Position slot has been replaced with Trap Tiling, the Trap Shape slot with Formula + Gradient Coloring Trap, and the Null Transfer slot left unaltered. Within Trap Tiling the tile spacing was set to (0.05,0.05) and the tile rotation set to 45o.
The default fractal formula (Mandelbrot) was left but parameter changes were made. Iterations were increased to 50, magnification was decreased to 0.02 and bailout increased to 1e20. See the image below:
For inside coloring Triangle Inequality Average was used, and for outside coloring Orbit Traps!. This is very interesting. The overall coloring formula is Orbit Traps in dmj.ulb, and for the Mandelbrot formula being used as a texture, Orbit Traps is again being used, in this case, the simplified version in Standard.ulb. The trap shape used for this "internal" Orbit Traps" is actually a texture shape - Kerry Mitchell's Gaussian Integer.
Here is the upr. The user should copy it to UltraFractal so that the plug-ins and parameter settings can be examined in detail. The user is encouraged to vary the parameters to see their effects.
Tutorial_7 {
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Tutorial_7 image