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Help on using Ultra Fractal and the formulas in the public formula database
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I've been a longtime user of Photoshop and other graphics applications, but not spent much time creating fractals. I've looked at hundreds of fractals and there is one style in particular I really like and would be happy to create in a variety of ways. I think it's referred to as chaotic bundle or chaotic thread, but I may be mistaken regarding this. What I need help with is the steps in UF to cr
recent by bertramegon1  ·  May 16 at 10:22 am
physicist posted Feb 25 at 2:33 pm
Chaotic Attractors Tutorial

These, often called Strange Attractors, are iterative systems that don’t seem to go anywhere, but do (approximately) repeat. Unlike most of the formulas in UltraFractal (UF), the iterations don’t diverge to infinity or converge to a point.

A simple example is the Clifford Attractor, named after Clifford Pickover, as in Layer #1 of the upr file at th
recent by Eric B  ·  Mar 1 at 10:08 pm
Perturbation-style formulas depend on the #dz value remaining small enough
for fixed-point arithmetic. I managed to sabotage myself by setting a high
bailout value of 1e20 on this deep zoom with perturbation.

After reducing the bailout to 1e10 the formula worked beautifully.

(I wanted a high bailout because I was using smooth coloring)

Disturbation_bad {
recent by Frederik Slijkerman  ·  Jan 14 at 1:37 pm
Phillip posted Feb 4 '22 at 10:46 am

since some people were wondering how I made some of my images, I decided to write a short tutorial on how to use the coupling loops formula in phs.ufm which I used several times over the last months.

When you first open it, this is what it looks like. The loopy stuff is located in the valleys of the main set and also the minibrots. As a rule of thumb, the higher c is, the stronger
recent by Phillip  ·  Feb 15 '22 at 8:49 am
(Literary readers: yes, this is a reference to the Wallace Stevens poem, “Thirteen Ways of Looking at a Blackbird.”)

This image has 16 fractals arranged in a 4 by 4 array. All 16 have the same gradient and the same Formula tab (Julia from Standard.ufm). All of the Outside tabs use Plug-in Coloring (Gradient) from Standard.ucl, and the Distance Coloring plug-in from jlb.ulb. The di
recent by Velvet--Glove  ·  Jan 4 '22 at 7:08 pm
I have updated my Distance Coloring plug-in (in jlb.ulb) in several ways.

New distance plug-ins:
Gaussian Integer, similar to the coloring in Standard.ucl. This often gives interesting results when used only on early iterations.
Triangle, like Circles or Square, color according to whether z is inside or outside.

Modified plugin:
Exponential Smoothing, with addition
recent by Frederik Slijkerman  ·  Sep 1 '21 at 8:34 am
grfractals posted Jul 24 '21 at 3:51 pm
Hello, i'm a uf6 apprentice and I have a question.

I'm testing and studying Kerry Michell tutorials
As you can see, my image is not as perfect as the image obtained http://www.kerrymitchellart.com/tutorials/basket/basket.html

I have made a copy and pasted of the upr of kerry and I have rendered, then I have compared both images and mine imge has defects. because?

you can
recent by Frederik Slijkerman  ·  Aug 16 '21 at 7:25 pm
physicist posted Aug 12 '21 at 8:50 pm
I have uploaded new Distance Coloring plug-in files to jlb.ulb. These are similar in concept to Orbit Traps: for each iteration, as the z associated with a pixel moves in the complex plane, information can be accumulated about distances. Afterwards this information is used to calculate an index into the gradient for coloring. See a sample image and a upr in the following post.
Load the upr in
recent by Frederik Slijkerman  ·  Aug 16 '21 at 7:22 pm
physicist posted Nov 11 '20 at 12:03 am
Now two examples with just two layers, a top layer for the lines and a bottom layer to color the cells. Here’s one with 200 rectangles. Because cells are colored with index equal to n/Nmax, shuffling the colors often gives a more pleasing result.
200Rectangles {
recent by Velvet--Glove  ·  Nov 12 '20 at 2:49 pm
physicist posted Nov 11 '20 at 12:00 am
Years ago, rkb.ulb included code that allowed the making of Mondrian-type images, but it is no longer in that file. I thought about this for a long time and decided to develop such code, though mine is totally different. (The rkb code used Trap Shape, and mine is entirely in the outside coloring.) Here’s an example of the result. Not as good as Mondrian’s, but reminiscent. And not at
physicist posted Aug 13 '19 at 3:48 pm
Switching the order of the two formulas, changing the parameters a bit, and switching to Mandelbrot mode, gives a fractal with some convergent and some divergent areas.

C-P'-M-M {
recent by Velvet--Glove  ·  Aug 14 '19 at 12:24 pm
physicist posted Aug 13 '19 at 3:56 pm
The second type of plug-in is “Combo.” It allows combinations such as (f1+f2)/f3 or f1(f2)). The latter means evaluate f2 to get a new value, then use that value as input to f1. The following example starts with Perlin 3D noise, followed by repeats of a Combo of Mandelbrot, Mandelbar, and Function.

recent by Velvet--Glove  ·  Aug 14 '19 at 11:20 am
physicist posted Aug 13 '19 at 3:51 pm
The available formulas, all in jlb.ulb, are listed below. All of them have parameters that can be changed and hints that describe the options.

Do nothing (a placeholder to be used if no formula is desired)

Divergent formulas (usually)
Perlin 3D Noise
Convergent formulas
physicist posted Aug 13 '19 at 3:43 pm
I have just uploaded Simple Switch Formula to jlb.ufm. By default it calls my SwitchCombo plugin in the new library, jlb.ulb. This allows generating new combinations of formulas; all of them allow switching from Mandelbrot-type mode to Julia-type mode or vice versa with the F7 key or pressing the Switch Mode icon on the toobar. Both divergent and convergent formulas, or some of each, can be used.

More about plugins …

I’ve been doing some readings about plugins and this is my interpretation of what I’ve read.

In the computer world, a plugin is a program that adds functionality to a larger program. In the context of UF, plugins add functionality to UF but are customized for particular formulas, algorithms, or transformations.

Thus, it follows that one
recent by Velvet--Glove  ·  Jan 2 '19 at 2:58 pm

To create a fractal image one could understand the relevant math (i.e., Fractal Geometry) and the functionality of the software that generates the image. The relevant math is beyond the grasp of most artists and the functionality of complex software such as Ultra Fractal is, at least initially, also beyond the grasp of most artists.

As an alternative, one could ignore the math and id
recent by rsidwell  ·  Jan 2 '19 at 2:23 pm
DoctorT posted Dec 30 '18 at 2:18 pm

I understand, maybe incorrectly, that a fractal image is (1) a set of numbers, generated by a formula, and displayed as POINTS, and (2) rules for coloring the POINTS.

In UF, is there a way for replacing the POINTS with SHAPES (e.g., a triangle)?

If so, how do I do it?

Thank you!

Dr. T

recent by Velvet--Glove  ·  Dec 31 '18 at 4:18 pm
DoctorT posted Dec 30 '18 at 5:40 am

I want to create a JPG file for printing on canvas. The canvas size is 16 inches (W) by 12 inches (H). At 600 PPI, the JPG file is 9.600 pixels (W) by 7.200 pixels (H).

To begin a fractal, what parameters should I use in the “Fractal Properties: Image”?

Or, does it matter? If UF files are scalable like SVG files, then only the width/height proportions matter.

recent by DoctorT  ·  Dec 30 '18 at 2:15 pm
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