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MakinMagic's avatar

Sierpinski Temple

By MakinMagic
19 Favourites
Created using Ultrafractal.

Another inspired by Dirk Monteny's work.
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768x768px 197.53 KB
© 2007 - 2021 MakinMagic
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Looks like the Jain Temple in Rajastan, India.
dark-beam's avatar
A true wonder! If only I can do this with simple kifs. :)

The M3 formula kifs;

for(i=0;i<MI && r<bailout;i++){



if(z>0.5*CZ*(scale-1)) z-=CZ*(scale-1);

return (sqrt(x*x+y*y+z*z)-2)*scale^(-i);

MakinMagic's avatar
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.
dark-beam's avatar
Omg, I have enouhh troubles with the normal transforms! i better stay away :)
lordkorv's avatar
and who is worshiped here?
MakinMagic's avatar
Well, Sierpinski I guess ;)
Just Google him !
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.
MakinMagic's avatar
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.
rhunel's avatar
That's INSANE!
MakinMagic's avatar
Thanks, I think :)
rhunel's avatar
It means it's astoundingly good. I couldn't imagine something like that could be created, and you did!
MakinMagic's avatar
Thanks very much.
m-r-p's avatar
Fractal Architecture is Awesome!
check this out [link]
MakinMagic's avatar
Thanks very much.
Almightypickle's avatar
very complex looking!
MakinMagic's avatar
lyc's avatar
great work dave! :thumbsup:
MakinMagic's avatar
Thanks Thomas !
WelshWench's avatar
gateman45's avatar
a tip dirk gave me...skew the z plane to 180 ..creates some interesting variations
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