|
matsoljare
|
 |
« on: July 03, 2010, 02:25:20 PM » |
|
Has anyone tried making a Mandelbrot / Julia formula where the power increases with each iteration? That is, first iteration is power of 2, then 3, 4, 5 etc. I know there are formulas where the power alternates between two fixed values, but i'm not sure if this has been tried....
|
|
|
|
|
Logged
|
|
|
|
|
Sockratease
|
|
« Reply #1 on: July 03, 2010, 02:53:41 PM » |
|
I've done it with Mandelboxes and bulbs, but I usually take at least 100 frames to get the power from one value to the next. So the power per iteration would be something like 2.00, then 2.01, 2.02, etc.
In my opinion, integer leaps would be too abrupt to look good in an animation.
|
|
|
|
|
Logged
|
Life is complex - It has real and imaginary components. The All New Fractal Forums is now in Public Beta Testing! Visit FractalForums.org and check it out! |
|
|
|
Rathinagiri
|
|
« Reply #2 on: July 03, 2010, 03:12:04 PM » |
|
Hi Sockratease,
I think he mentions a different thing.
Suppose, the iterations of a Mandelbulb be 30.
He wants to render the Mandelbulb, first iteration at power 2, second at power 3, third at power 4 and so on.
It is not about animation. In a single render image, the power increases as iteration increases.
|
|
|
|
« Last Edit: July 03, 2010, 03:14:08 PM by Rathinagiri »
|
Logged
|
|
|
|
|
David Makin
|
|
« Reply #3 on: July 03, 2010, 03:57:42 PM » |
|
For standard 2D Mandelbrot/Jullia in Ultra Fractal: Formulas: mmf.ufm:Transformation Mandelbrot/Julia Fractal type parameter "z^iter+c" Fractal1 {
fractal:
title="Fractal1" width=640 height=480 layers=1
credits="David Makin;7/3/2010"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=-.5/0 magn=1.0
formula:
maxiter=100 percheck=off filename="mmf.ufm" entry="MMFp-TransMandel"
p_fractal="z^iter + c" p_startpix=no p_start=-0.5/0 p_test=mod
p_bailout=65536.0 p_smallbail=disabled p_bailout1=1E-5 p_smooth=Off
p_fixHinrich=no p_cfudge=1.0 p_fudge=10.0 p_fudge1=100.0
p_fudge2=1.0 p_ang=0.0 p_x=0.0 p_y=0.0 p_a=1.0 p_b=0.0 p_c=0.0
p_d=1.0 p_sigma=no p_product=no p_selfrot=Disabled p_doscale=Off
p_scale=2.0/0 p_power=2.0 p_power1=2.0/0 p_ndegree=3 p_nr1=1/0
p_nr2=-0.5/0.8660254 p_nr3=-0.5/-0.8660254 p_nr4=-1/0
p_nr5=0.5/0.8660254 p_nr6=0.5/-0.8660254 p_usescale=1.0
p_usecentre=0/0 p_swscale=1.0 p_swcentre=0/0 f_Fn=acos f_Fn1=cos
f_Fn2=ident f_Fn3=sin
inside:
transfer=none
outside:
transfer=linear filename="mmf3.ucl" entry="MMF3f-ExtCilia"
p_method="Standard Div." p_bailout=65536 p_dauto=yes p_power=2/0
p_usedfudge=no p_fudge=1.0 p_fudge1=1.0 p_ciliamode="Just iteration"
p_split=2.0 p_olditer=No p_iterval=0.0 p_iterweight=50.0
p_logiter=Ident p_skew=0.0 p_rot=0.0 p_fixrot=no p_rpwr=5.0
p_fixskew=no p_smallbail=1E-5 p_cauto=yes p_cpower=2/0
p_usecfudge=no p_fudgec=1.0 p_fudge1c=1.0 p_cfixed=no
p_cfixedval=1/0 p_cciliamode=Sawtooth p_csplit=2.0 p_fixconv=yes
p_colditer="1 older" p_citerval=0.0 p_iterweightc=50.0
p_logiterc=Ident p_cskew=0.0 p_crot=0.0 p_cfixrot=no p_crpwr=5.0
p_cfixskew=no p_convoffset=0.0 p_zbasin=Off p_zscale=0.1 p_ip=1.0
gradient:
smooth=yes index=0 color=8716288 index=100 color=16121855 index=200
color=46591 index=300 color=156
opacity:
smooth=no index=0 opacity=255
}
|
|
|
|
|
Logged
|
|
|
|
|
Sockratease
|
|
« Reply #4 on: July 03, 2010, 04:02:16 PM » |
|
Hi Sockratease,
I think he mentions a different thing.
Suppose, the iterations of a Mandelbulb be 30.
He wants to render the Mandelbulb, first iteration at power 2, second at power 3, third at power 4 and so on.
It is not about animation. In a single render image, the power increases as iteration increases.
Oh. Like this?  That's a 6 formula bulb using powers 2 - 7 in order. Used Mandelbulb 3D. Interesting shape! I wonder what happens if the sequence of powers is varied... Maybe after my animation finishes rendering! |
|
|
|
« Last Edit: July 03, 2010, 04:10:09 PM by Sockratease, Reason: Speelinf Eroorz »
|
Logged
|
Life is complex - It has real and imaginary components. The All New Fractal Forums is now in Public Beta Testing! Visit FractalForums.org and check it out! |
|
|
|
David Makin
|
|
« Reply #5 on: July 03, 2010, 04:03:36 PM » |
|
Just to add that although the 2D ones aren't that interesting I think that both the 3D/4D Julibrot and the 3D Mandelbulb versions probably will be  |
|
|
|
|
Logged
|
|
|
|
|
David Makin
|
|
« Reply #6 on: July 03, 2010, 04:04:55 PM » |
|
Oh.
Like this?
That looks about right (though in my 2D formula the power on the 1st iteration is 1 rather than 2). |
|
|
|
|
Logged
|
|
|
|
|
Rathinagiri
|
|
« Reply #7 on: July 03, 2010, 05:07:59 PM » |
|
Nice one. In Mandelbulb 3D? How to do that?
|
|
|
|
|
Logged
|
|
|
|
|
Sockratease
|
|
« Reply #8 on: July 03, 2010, 05:21:46 PM » |
|
Nice one. In Mandelbulb 3D? How to do that?
In Mandelbulb 3D there is a "Formulas" window for blending different formulas. Under Formula 1 I just put an "Amazing Bulb" and set the power to 2. Then under Formula 2, another Bulb set to power 3, and repeated (increasing the power by 1 for each new bulb) until I ran out of Formula tabs. I can upload a screen shot or an m3i file if you want. |
|
|
|
|
Logged
|
Life is complex - It has real and imaginary components. The All New Fractal Forums is now in Public Beta Testing! Visit FractalForums.org and check it out! |
|
|
|
Rathinagiri
|
|
« Reply #9 on: July 03, 2010, 05:37:45 PM » |
|
Oh. Now I understand. Thanks for taking time to explain. |
|
|
|
|
Logged
|
|
|
|
|
|
|
Sockratease
|
|
« Reply #11 on: July 03, 2010, 07:13:03 PM » |
|
I love the Fuzzy formula! This was the first thing I did with my first version of Mandelbulb 3D (and it's a Fuzzy Formula) (it's a little off center, but I was just playing and learning the program - not making an effort at Fine Art!):  Bigger : http://www.sockrateaze.com/stuff/1b1.pngNow... those who remember me know that I can't resist image editing my fractals. Especially when I think I can make something Silly happen!! So :  Bigger : http://www.sockrateaze.com/stuff/1b.pngThanks for sharing this formula with us! |
|
|
|
|
Logged
|
Life is complex - It has real and imaginary components. The All New Fractal Forums is now in Public Beta Testing! Visit FractalForums.org and check it out! |
|
|
|
Rathinagiri
|
|
« Reply #12 on: July 03, 2010, 08:18:32 PM » |
|
Very creative!
|
|
|
|
|
Logged
|
|
|
|
|
December 19, 2009, 11:01:43 AM
Iteration Essence
Mandel Brot
Dilber MC Theme by HarzeM