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General Tutorials for selected Ultrafractal formulas. |
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UltraFractal
Slope Formulas Slope formulas create a 3D-like appearance using a technique similar to ray tracing. This tutorial has been upgraded to include standard slope formulas, attractor slope formulas and an introduction to two specialty slope formulas. The basics of the new Lighting formulas are also presented. |
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Enhanced Traps Formulas This tutorial has been upgraded to reflect changes in the Enhanced Traps formulas. Two of these formulas now have their own separate tutorials. |
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Simple Traps Formula This is a general coloring formula with 9 trap types, 94 trap functions and 9 trap variants for each trap. In the expert mode there are an almost unlimited combination of options for modifying how a given trap functions and the image appears. |
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Polar Traps Formula This is a general coloring formula with 31 trap types and 9 trap variants for each trap. In the expert mode there are an almost unlimited combination of options for modifying how a given trap functions and the image appears. |
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Attractor Traps Formula This is a general coloring formula that uses strange attractors as the trap functions. There are over 200 trap functions available and 9 trap variants for each. In the expert mode there are an almost unlimited combination of options for modifying how a given trap functions and the image appears. |
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| Circle/Sphere Inversion Formulas This is under construction This tutorial includes the following formulas: Apollonian Gasket Raytrace (ucl), Apollonian Gasket (ucl), Circle Inversions Raytrace (ucl), Sphere Inversions Raytrace (ucl), and Slope Apollonian Gasket (ufm). Some aspects of Slope Apollonian Gasket (ufm) were included in the UltraFractal Slope Formulas. Also, see the section on the mathematics of circle inversion fractals. |
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| Kleinian Group Formulas This is under construction This tutorial includes the following formulas: Kleinian Group Raytrace (ucl), IFS Möbius (ucl), Indra's Pearls Workshop (ucl) and Indra's Promise (ufm). Some aspects of Indra's Pearls were included in the UltraFractal Slope Formulas. Also, see the section on the mathematics of Kleinian group fractals. |
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| 3D Fractal Ray Trace and related
formulas This is under construction |