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Published: 2007-09-03 21:14:37 +0000 UTC; Views: 7747; Favourites: 124; Downloads: 0
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Description
Apophysis flame fractal using bipolar plugin. Also see Turmoil and `MichaelFaber 's Expanse .Related content
Comments: 38
Amazing! Love the colours and the spirals! Great job 
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Well I'm gonna 
Have a GREAT day!
C U
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Very nice! I'll certainly have to give the bipolar plugin a whirl meself!
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Love how it looks like little balls of flame, or some kind of weird dragon skin-related something or other.
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Bipolar? So the variation works half the time and the other half it tells you to F*** Off and walks away?
Can't wait for it man, great job as always.
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you lost me at orthogonal. i may know a lot of math, but not quite that much
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It's based on bipolar coordinates [link] . MΓΆbius transformations are different (and can be done in apophysis using the spherical transform and post-transforms). For your personal projects or GPL'ed releases --> [link]
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ahh, that's clarified a lot for me, thanks 
(btw, i'm going to abstain from flame rendering a bit during my finals, there's enough conflict of interest with my new 3d stuff as it is; after that though i hope to help out :devmobilectro: with some apo plugins which will of course be released.)
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The name "spherical" actually comes from stereographic projection. It isn't directly coded as a variation. If you look at the decomposition on the wikipedia page [link] it is a little easier to see how it works:
f1(z) : performed by the affine transformation (which includes translation)
f2(z) : This is exactly the same as the spherical variation.
f4(z) α΅ f3(z) : The post-transform is another affine transformation (so it does dilation, rotation and translation).
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that actually makes a lot of sense because in the flame algorithm f_{1,3,4} can be modified too via weights for even more interesting effects. pretty nifty
also, i think i'm finally starting to see the utility of scripts, to set up things like this. i haven't ever seen or used one, but have been told that it's the basis of all good flame-making.
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If by "weights" you mean the relating to the probability of being selected in the chaos game then, no. There is only one weight for the entire transformation.
Scripts are not the basis of all good flame-making 
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hehe, what a funny fractal
regarding the densities/weights/probabilities, i imagine that if you could control the combination some neat fx could result. for example, to get the xform you apply f_{1,2,3,4} in sequence (maths notation f_4 o f_3 o f_2 o f_1), but you could interpret this as 4 vectors, <1,0,0,0> * f_4, then <0,1,0,0> * f_3, etc. keeping those weights normalised to eliminate gain might be an interesting avenue of exploration for a new xform, however it'd need a lot of unintuitive user input... this is where i always went mad with my programs: since i had no gui to tweak such variables i just went completely overboard with the generalisations and dimensions, lit up a joint and sat exploring randomised parameters for hours on end
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Now this looks fun 
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Omg.. it looks like fish embryo! awesome!
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This variation is already opening alot of doors...and it's not even available yet!
Kudos!
Very lovely, love the coloring and the luster.
Great job!
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Yes, I think it is a very good variation. It's right at the top with Julian!
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And when are we getting it?
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