fractalus - FractInt Coloring Algorithms: My Collection

FractInt Coloring Algorithms: My Collection
Information : FractInt : FractInt Coloring Algorithms: My Collection

have a large collection of fractal coloring algorithms implemented as FractInt formulas. Currently over 120 formulas are in this file. (There is also an Ultra Fractal 2 version.)
Please note: these formulas use IF, which is supported in FractInt 19.6 and later. If your version of FractInt is earlier than this, these formulas will not work. Go to the FractInt web pages and download a more current version.

dmj-pub.zip 15K; formula files and examples

UnZIP the file to your FRACTINT directory. If you've modified your SSTOOLS.INI file to specify a location for your FRM and PAR files, you will need to move the unZIPped files to the proper locations. If you don't know what SSTOOLS.INI is, don't worry—unZIPping to your FractInt directory should be sufficient. The dmj-pub.txt file contains a brief introduction to using the files.

There are so many formulas in this collection that it's hard to know where to start. To help with this, I have included twelve examples of images created with these formulas (most of which are also displayed in the 1998 and 1997 galleries here). To view these, start FractInt, press @, press F6, select dmj-pub.par and press RETURN. Scroll down to the end of the list and choose any of the parameters starting with ex-. These are the examples.
Many of the formulas in this collection benefit from having certain parameters set that are not immediately obvious. Getting around this problem is why I've included a PAR file in the first place. To start fresh with one of these formulas, select it from the PAR file. This will set the correct starting location and any other parameters that the formula needs to operate correctly.
To fully explore the richness of these formulas (now doesn't that sound pompous) you should feel free to fiddle with the options on the z screen. If you don't care to know what they do, and just want to mess around, you can skip the rest of this document.

Because there are so many formulas, I have used a simple naming convention to help you find the formula you want. Here is a sample name:

dmj-Mand-Pnt-Dst-I

The name is broken up into segments, each separated by a dash (-). The first segment (dmj) is present on all the formulas; this is so that if you use ORGFRM to organize your formulas, they all stay together.
    The second segment indicates the fractal shape. Because of how coloring algorithms have to be implemented in FractInt, every coloring algorithm must be tied in to a specific fractal shape. In this collection I have applied most of the coloring algorithms to both the Mandelbrot set (Mand) and Paul Derbyshire's NovaM fractal (Nova). A few algorithms are only available for the Mandelbrot set.
    The third segment indicates the orbit trap type, or the general coloring algorithm. Most of the formulas included are orbit trap variants. Orbit trap types include point (Pnt), hypercross (Hyp), circle (Cir and Cr2), cross or "plus" (Pls), rectangle (Rct), and spiral (Spi). Non-trap types include smooth iteration coloring (Smooth, SmoothPHC, and SmoothX2), triangle inequality (Triangle), and average angle (ThetaW and ThetaW2).
    The fourth segment (present only for trap types) indicates the coloring method used with the orbit trap. Several methods are available: closest distance to trap (Dst), angle to trap of closest approach (Ang), angle of point relative to origin of closest approach (Dec), and iteration of closest approach (Itr).
    The last segment, -I, if present, indicates that the formula will color the inside portions of the fractal with the same algorithm as the outside. Sometimes this can produce great results, but keep in mind these types will generally run slower.

Formula Parameters

Most of the formulas use parameters the same way. This will make it easier for you to learn which parameters do what. Here is a summary for the orbit trap types:

p1: location of orbit trap center.
p2r: rotation angle of trap, in degrees.
p2i: trap aspect ratio, height:width (not for Hyp); for Spi, minimum iterations.
p3r: color scale (Dst only).
p3i: circle diameter (Cir and Cr2) or bailout.

Non-orbit trap types generally only use p3r and p3i from the above list.

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