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MakinMagic — Sierpinski Temple
Published: 2007-12-24 18:42:27 +0000 UTC; Views: 4406; Favourites: 21; Downloads: 262
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Description
Created using Ultrafractal.Another inspired by Dirk Monteny's work.
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Comments: 25
Looks like the Jain Temple in Rajastan, India.
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A true wonder! If only I can do this with simple kifs.
The M3 formula kifs;
Menger3(x,y,z){
r=x*x+y*y+z*z;
for(i=0;i
x=abs(x);y=abs(y);z=abs(z);
if(x-y<0){x1=y;y=x;x=x1;}
if(x-z<0){x1=z;z=x;x=x1;}
if(y-z<0){y1=z;z=y;y=y1;}
rotate2(x,y,z);
x=scale*x-CX*(scale-1);
y=scale*y-CY*(scale-1);
z=scale*z;
if(z>0.5*CZ*(scale-1)) z-=CZ*(scale-1);
r=x*x+y*y+z*z;
}
return (sqrt(x*x+y*y+z*z)-2)*scale^(-i);
}
(possible?)
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The Sierpinski Temple itself (exactly as in my full IFS render) can't be (completely) done using KIFS because apart from the (4*3 squares) Menger Carpet style base there are two (possibly 3, I forget) transforms above the "ground" and these are overlapping in terms of their sub-spaces which means that a single linear iteration will not always choose the correct transformation combination and therefore a tree-style iteration is required, though admittedly the tree could be limited to branching in the cases where more than one of the overlapping transforms could apply, rather than is done in my current 3D IFS formula for UF where the full tree is traversed with n branches per iteration where there are n transforms.
Having said that, in this case very careful use of the conditionals in a KIFS formula should be able to get reasonably close I would have thought.
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Omg, I have enouhh troubles with the normal transforms! i better stay away
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Well, Sierpinski I guess
Just Google him !
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As you might guess, I've tried to experiment with variations of the Menger sponge, but I can't get anything as good as this yet.
Great work.
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Thanks.
Part of the trick to these is create some sort of 2D carpet at ground level then add two or more transforms above some of which are inverted.
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It means it's astoundingly good. I couldn't imagine something like that could be created, and you did!
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Fractal Architecture is Awesome!
check this out [link]
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a tip dirk gave me...skew the z plane to 180 ..creates some interesting variations
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Thanks - this one is doing that
It's just 10 below and two above (both in the centre) the lower one being skewed.
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