Object Formulas
From Ultrafractal Wiki
Object Formulas is a Fractal Formula wrapper in reb5.ufm.
also see: Field and Distance Estimators
Object Formulas is a wrapper ufm similar to Generic Formula in Standard.ufm in that it "wraps" around any of the standard class formulas in standard.ulb and many other libraries. What has been changed in Object Formulas is that it has a dramatically expanded set of options that allow the use two fractal formulas and two transforms, which can be blended in various ways.
The approach is substantially different from Jim's use of transform/contraction pieces. In some cases it can give very similar results, but it can also produce some very different effects.
A checkbox named 'Use dual formulas' turns on all the dual formula capabilities.
The cascade of formulas has the following options:
Transform1 Formula1 Formula2 Transform2 Transform1 Formula1 Transform2 Formula2 Formula1 Transform1 Transform2 Formula2 Formula1 Transform1 Formula2 Transform2
For each cascade set there are additional options. They can be combined in Sequence' For the default each transform and formula is processed in order for each iteration. They also can be combined 'By iter value'. With this method for every set of iterations defined by the iteration cycle' parameter formula1 and transform1 will be iterated for part of the cycle, and formula2 with transform2 for the second part. The iteration cycle is partitioned into the number of iterations defined by the 'Formula 1 Iters' parameter, with the remainder going to formula2.
There is also a 'Merge' method. In this method formula1 and its transform is iterated separately from formula2 and its transform. At the end of each iteration the complex numbers from the two formulas are merged. There are a number of merge methods, such as addition, multiplication, largest and smallest.
Attached is an illustrative upr. In another email, if anyone is interested, I will discuss how I chose the Julia parameters for the image.
DragonBlood {
; Copyright © 2008 by Ron Barnett.
; tweakable on this list
::cRnjyjn2tix2uNuty3DQ+HE0rFxRkSyWuF8hmsNApo7uFdDw5tjBtElF3IRqISnYvf9dIFts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}
