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MakinMagic — Lego

Published: 2007-11-05 02:14:48 +0000 UTC; Views: 1464; Favourites: 23; Downloads: 69
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Description Created using Ultrafractal.
A RIFS reduced cube, loosely based on the empty spaces from the Menger Sponge.
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Comments: 28

dark-beam [2011-03-17 18:57:24 +0000 UTC]

A more big image?

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MakinMagic In reply to dark-beam [2011-03-17 22:08:32 +0000 UTC]

Only when I get a faster system
I should be getting a dual I7 six core Mac Pro in April (I hope) unless the 8-cores are available by then in which case it'll be a dual I7 8-core !

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dark-beam In reply to MakinMagic [2011-03-17 23:20:16 +0000 UTC]

David I already implemented your old MandyCousin formula in Mandelbulb3d, but can I take also the formilas from your wip3d? Some of then look simply fantastic so please, I will give credit

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MakinMagic In reply to dark-beam [2011-03-18 03:01:21 +0000 UTC]

Certainly, that's fine
Quite a few are just variations on the multiple angle theme, I just played around with whatever 2 (or even 3) angles (from all those you can possibly chose in a 3D system) and kept the best combinations that I found in the formula - I by no means checked all possibilities

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dark-beam In reply to MakinMagic [2011-03-18 18:40:51 +0000 UTC]

Well I suggest to look also here:


[link]

The IQ method looks fine, take a look

ty and bye

Luca

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MakinMagic In reply to dark-beam [2011-03-18 18:59:34 +0000 UTC]

?? But that's just the standard Mandelbulb method (White/Nylander in my formula).
Also note that in most cases for integer powers (e.g. +2 to +31) doing the calculations using the method in my optimised formula (by combining z,z^2,z^4,z^8 etc. as necessary) is actually faster than the explicit specific algebraic z^n calculations for the said integer powers - at least it's faster on CPU/FPU, not so sure about GLSL.

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dark-beam In reply to MakinMagic [2011-03-18 19:15:11 +0000 UTC]

Are you sure?

Well, IQ method is actually supported in "Visions of chaos" program as a different method, so I don't think it's the same

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MakinMagic In reply to dark-beam [2011-03-19 01:24:47 +0000 UTC]

Apologies, I didn't think there was one that was different that looked so close to the original !
I looked at the image rather than the formula detail
The angles I use in the variations in my Wip formula produce results that are considerably more different from the "norm" - in fact as different from the norm as the Rucker is because "difference" is what I'm always aiming for.
Of course the silliest are those where the magnitude is not maintained so I added the version where it's corrected.
I think there are still a huge number of untried possibilities as far as variations on the cartesian->polar->cartesian method are concerned.

Essentially take:

x,y,z,|x^2+y^2|,|x^2+z^2|,|y^2+z^2| and |x^2+y^2+z^2|

and pick at least 2 appropriate ratios for your "angle" scaling
You can extend further by applying abs() to the singles as you wish.
The choice gets even more interesting and varied in 4D !

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dark-beam In reply to MakinMagic [2011-03-19 08:08:55 +0000 UTC]

Do you mean, Rucker by default is turned to the right rather than to the left?

Too bad, this is true! I had to fix the formula as follows;

r:= sqrt(x*x+y*y+z*z) ^ Power
theta = atan2(y,x) * P
zangle = atan(z/(-x)) * zAP

x := (-)cos(zangle)*cos(theta)*r+Cx
y := (-)cos(zangle)*sin(theta)*r+Cy
z := sin(zangle) *r+Cz

This turns Rucker to the left again!

Ah! I noticed that some of your brots are y-oriented.
This is not correct I think, in my opinion you have to choose the main angle with x (eg always x/y or x/z or x/(x*...) ) because other choices consider y (imaginary var) as the main var and this can't be the other angle has to be with y or z up and whatever you like down. Probably the choices with z up are not really correct, but whatever

So your "table of 9 choices" (I found it in FractalForums) is 3 choices for real part + 6 for imaginary parts!

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MakinMagic In reply to dark-beam [2011-03-19 21:25:43 +0000 UTC]

Hmmm - try thinking further from the "norms" and allow for more than just two "angles"

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boot-cheese-3000 [2009-02-07 19:03:40 +0000 UTC]

awesome! how do you make fractsls animate?

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MakinMagic In reply to boot-cheese-3000 [2009-02-07 19:50:24 +0000 UTC]

Thanks.
Basically render many frames each with a parameter or parameters changing from one frame to the next.
There are "animation" versions of Ultra Fractal 4 or 5 that allow you to do this quite easily - allowing export to "AVI".

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DeepZoom [2008-11-17 02:54:35 +0000 UTC]

2 things.
1. How did you make that one?
2. If you tilted it a specific way, would it create an outline for the Koch Curve?

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MakinMagic In reply to DeepZoom [2008-11-17 10:28:24 +0000 UTC]

Hi,
1. It was created by using the RIFS codes to exclude certain combinations.
2. I don't think so

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serenita83 [2008-01-18 05:30:55 +0000 UTC]

non so come le fai ste cose...ma sono veramente incredibili!!complimenti!!....tu eres loco!!!

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MakinMagic In reply to serenita83 [2008-01-18 20:01:05 +0000 UTC]

Thanks !

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ArtisticLicenseNow [2008-01-09 19:13:08 +0000 UTC]

Very cool!

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MakinMagic In reply to ArtisticLicenseNow [2008-01-09 19:52:15 +0000 UTC]

Thanks.

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LogitechAdrian [2007-11-10 22:30:42 +0000 UTC]

omg thats awsome

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MakinMagic In reply to LogitechAdrian [2007-11-10 23:02:45 +0000 UTC]

Thx !

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GeaAusten [2007-11-05 22:54:01 +0000 UTC]

brilliant.. I love it

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MakinMagic In reply to GeaAusten [2007-11-05 22:59:34 +0000 UTC]

Thanks.

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GeaAusten In reply to MakinMagic [2007-11-08 09:38:33 +0000 UTC]

oh yes.. brilliant effect

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WelshWench [2007-11-05 18:42:24 +0000 UTC]

That's quite something Dave!

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MakinMagic In reply to WelshWench [2007-11-05 19:19:15 +0000 UTC]

Thank you !

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Almightypickle [2007-11-05 03:06:51 +0000 UTC]

love it!

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MakinMagic In reply to Almightypickle [2007-11-05 10:50:28 +0000 UTC]

Thx

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Almightypickle In reply to MakinMagic [2007-11-05 14:16:56 +0000 UTC]

Welcome!

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