3D Fractals with Ultrafractal

[cKleinhuis]

check your pm, need a starter in uf formulas writing again

[David Makin]

Thank you. Now we need to get David Makin to get his formulas into the database.  I version my formulas for backwards compatibility so I can continue to fix bugs and make improvements.

Was intending to redo my stuff in class-based format before publishing to the database, but I guess I can go with my latest version of the Wip3D formula if I do a little more work on the latest additions I was working on (2 years ago).

Also I have some tidying of the escape-time 3D IFS formula to do as I was working on adding the ability to render 3D "dragon trees" and such, here's an old example:



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=13260

[fractalrebel]

Very cool tree.

[fractalrebel]

I have been working on a simple 3D Progressive Dual formula for hybridizing things like the mandelbox and mandelbulb using the iteration count for switching between formulas. The formula is still definitely buggy and not ready for prime time, but here is an early example of a mandelbox - mandelbulb merge.

[fractalrebel]

Here is a dual formula using a 4th power Mandelbrot Quaternion and a 4th power Mandelbulb. There are 4 frames in the image. The upper left switches formulas every iteration, the upper right every other iteration, the lower left every 3rd iteration and the lower right every 4th iteration.

[fractalrebel]

One of my favorite fractal functions is the Ikenage function, dating back to the early 1990's and Fractint. Here are two Juliabulb versions (power = 3). These are slices through the Juliabulb which show the internal shape of the Ikenaga Julia. The first image uses what I think is the original triplex algebra. The second image is the Reversed Positive Z version of the triplex algebra (method is from Jason's Softology website). I am still making addiitions and doing some debugging, so the code is not in the UF database yet - hopefully soon.

[fractalrebel]

Reversed Positive Z version

[fractalrebel]

I have updated my formulas to the Ultrafractal database.

[fractalrebel]

Another one of my favorite formulas dating from Fractint days is the FrameRobert fractal. Here is a FrameRobertJuliaBulb sliced through the middle using the "Reversed" Triplex algebra. The formulas are now in the database, so here is the upr also:

FrameRobertJuliaBulbSlice {
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  8Drl7HEHNZU44GGLVobYU4NybYYLDk4GSL+RxhRfMmG/AsQyy/H=
}

[fractalrebel]

There are some problems with my ProgressiveDual ufm for 3D fractals. They are not really bugs, but serious impediments to any upgrades or extensions. I am working on fixing them (with versioning so any previous works will not be lost), but it may take a while.

[JosLeys]

This is Ultrafractal too, believe it or not.
Programming 3D in UF is a bit of a hassle as it natively does not know what a vector is.
We should start a petition for better 3D support in UF...

[cKleinhuis]

Excellent work, it wont change my opinion about 3d in uf not in the slightest
to spend hundrets more time for seeing a result is not an option

so. I dont want to hijack the thread but i am working on a huge formula update myseld
the power of uf lays in its twod capabilities and its tremendous parser

i am going to publish amazingbox, mandelx, kifs formulas soon, accompanied with upcoming tutorials

the object coding in uf is just tremendous, as you know i am a big fan of hybrids
so i am working on a way to make a pluggable formula system by defining plus or multiplication as single fractal formulas where as operands existing formulas can be put in

the whole ultrafractal is such a great program it is really enjoyable to browse the library and see the result directly in the browser. . .

[David Makin]

This is Ultrafractal too, believe it or not.
Programming 3D in UF is a bit of a hassle as it natively does not know what a vector is.
We should start a petition for better 3D support in UF...

Prior to full 3D support I think we really could do with parameter arrays and gradient parameters