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FractKali — Full moon, dirty fractal
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Published: 2011-07-02 14:44:17 +0000 UTC; Views: 2099; Favourites: 19; Downloads: 81
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Description
z=1/(abs(z+0.25+0.50i)-abs(z-0.50-1.00i)-z)-1.50-1.50iThe title is because of the INXS album, "Full Moon, Dirty Hearts".
I liked them when I was a teenager. Nice and simple music.
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Comments: 15
di niente!
sono bellissimi ^^
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May I implement this Julia formula in my programs? I will implement the formula as
z = (transform(z + alpha) - transform(z + beta) - z)^alpha + beta
The Mandelbrot form will have c instead of beta, the transform function will be whatever transform is applied, "top right" positioned at the origin with no rotation is the equivalent of UF abs. I've been naming fractal types based loosely on the formula, so this could be tzacmtzabmzcpac i.e. tzac for transform z+alpha, m for minus, tzab for z + beta, mz for minus z and cpac for raise to complex power and constant.
I don't like this name as it is somewhat unwieldy. Do you have a name for this fractal type?
There will be an explanation for the use of term "top right" in an imminent journal entry.
Thanks for including the formula in the description.
You get truly excellent results with monochrome colouring.
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Off course, no problem, you can include it. The way abs is used here is like doing a conditional "boxfold" but with the possibility of using different values and offsets for each axis. The 1/abs(z) is a form of what I called "Kaliset", so this can be a "Boxfolded Kaliset", if I have to choose a name (but I'm not very goodat naming 
P.S.: Thanks for your interest.
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If you haven't seen it yet, I mention 25 transforms in my current journal entry. Thanks for the information about naming, I'll call them Kalibox and Kalibox Julia as they're nice and short. I'll probable also add L-Kalibox and L-Kalibox Julia which will just be the log versions i.e. the formulae will be enclosed in a log function.
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Wow, phenomenal. If I didn't know any better, I wouldn't even think that this was a fractal... I mean this in a good way. It's truly incredible.
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Thanks Jaderlif... I'm getting some ideas from people at fractalforums.com that are helping me to expand the posibilities of my formulas. Glad you like it so much, I truly appreciate your comment.
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Oh thank you! - What you said is really enough for me
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Cool. My 3d function is very similar, as foldxmod shifts the folding plane
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Thanks. I wanna try that 
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Yes, but beware... maybe I will add more stuffy stuff
and... can ya render a scale2, fold=2, cx swap cy and conditional fold if r<1 set for your little brother
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