luc2
Forums Freshman
Posts: 12


« on: March 06, 2012, 04:45:41 PM » 

Dear all,
Excuse my English, it's not my natural language and I'll try to be as clear as possible.
One 2D fractal formula I used a lot is the quad formula from Stephen Ferguson's Tierazon, 8 years ago I asked for help and had it code for UF, because I used this formula a lot I have a good mental representation of it and I think a 3D version of it could be very interesting. It's possible that someone already tried it and it's not interesting or it's already exist and I did'n recognize it in the list of formulas...
Sadly, even if I used math, fractal, 2D and 3D algorithms a lot in my images, I have a really limited knowledge of maths and coding.
I add the code of this formula in my post and like to have your opinion about a 3D version of this formula;
Quad { ; ; Based on an algorithm for Tierazon formula 90 from Stephen Ferguson, ; via Luc Benard. Very sensitive to changes in bailout value and ; min. distance. For BailoutTest "Z  LastZ", 15 is a good bailout ; value. For BailoutTest "Z", 4 to 6 are good bailout values. ; See blb.txt for comments. ; 18 April 2003 ; init: z = @ZInitFunc(#pixel) if @ThisMode == "Mandelbrot" c = @CFunc(#pixel) else ;Julia c = @CFunc(@seed) endif
complex LastZ float zr float zi float dist
loop: LastZ = z z = z*@ZFactor + c zr = real(z) zi = imag(z) if zr >= 0 zr = zr  @Offset else zr = zr + @Offset endif if zi >= 0 zi = zi  @Offset else zi = zi + @Offset endif z = zr + flip(zi) if @BailTest == "Z  LastZ" dist = z  LastZ else ; "Z" dist = z endif bailout: dist > @DistMin && dist < @Bailout
default: title = "Quad" magn = 0.24 param ThisMode ;Current Mode default = 0 enum = "Mandelbrot" "Julia" visible = False endparam param NextMode ;Mode to switch to default = 1 enum = "Mandelbrot" "Julia" visible = False endparam heading caption = "MSet Mode (F7 to Switch)" visible = (@ThisMode == "Mandelbrot") endheading heading caption = "JSet Mode (F7 to Switch)" visible = (@ThisMode == "Julia") endheading complex param seed caption = "Julia seed" default = (0,0) visible = (@ThisMode == "Julia") endparam param BailTest caption = "Bailout Test" enum = "Z  LastZ" "Z" default = 0 endparam float param Bailout caption = "Bailout value" default = 15 min = 0 endparam float param DistMin caption = "Minimum Distance" default = .001 min = 0 endparam func ZInitFunc caption = "Z Init. Function" default = ident() endfunc func CFunc caption = "C Function" default = ident() endfunc float param ZFactor caption = "Z Factor" default = 1 endparam float param Offset caption = "Offset" default = 2 endparam switch: type = "Quad" ThisMode = NextMode NextMode = ThisMode seed = #pixel BailTest = BailTest Bailout = Bailout DistMin = DistMin ZInitFunc = ZInitFunc CFunc = CFunc ZFactor = ZFactor Offset = Offset } ;END OF "Quad"



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Excuse my English, it's not my natural language.



DarkBeam
Global Moderator
Fractal Senior
Posts: 2510
Fragments of the fractal like the tip of it


« Reply #1 on: March 06, 2012, 05:51:33 PM » 

At a first glance I see that it is discontinue, this makes it not portable in 3d, you need continue ones If you can not derive your formula it produces noise Sorry Luca



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No sweat, guardian of wisdom!



Alef


« Reply #2 on: March 06, 2012, 07:05:27 PM » 

I would recomend to code it first in some simpler programm. Say Chaos pro. Then you could represent 3D render. Just use quaternionic numbers an quaternionic parameters instead of complex. There are just two formula writers for M3D (Jesse included), and at first they would be interested in their own projects, and just at he second of those of others (as all would).


« Last Edit: March 06, 2012, 07:21:21 PM by Asdam »

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DarkBeam
Global Moderator
Fractal Senior
Posts: 2510
Fragments of the fractal like the tip of it


« Reply #3 on: March 08, 2012, 11:57:19 AM » 

And remember, use continue transforms whenever possible

No sweat, guardian of wisdom!



Alef


« Reply #4 on: March 09, 2012, 03:19:49 PM » 

I just implemented fracmonk's 2D formulas into UF database (as EM.ufm). It literary took a whole day from the morning, and after I had tested and implemented some of these formulas in Chaos pro database, so knowing how they works.
So I can imagine that in 3D, having restricted conditions and no easy native compiler it would be a ten times more time consuming / hard.
This formula realy don't looks would be usefull in 3D. 3D fractals are insides without 2D outsides;)


« Last Edit: March 09, 2012, 03:31:40 PM by Asdam »

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luc2
Forums Freshman
Posts: 12


« Reply #5 on: March 11, 2012, 06:43:11 AM » 

Thank you all for your answers. just an other time where my intuition got wrong :). From what I understand of your answers, with my limited knowledge of math and coding, the formula will give a cloud of points instead of a solid form, this seem logical, may be the best way to play with this formula in 3D, is to code it in Structure Synth and associate cubes or spheres to the point generate by the equation.



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Excuse my English, it's not my natural language.



Alef


« Reply #6 on: March 14, 2012, 03:45:10 PM » 




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