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Author Topic: Fractal crystals  (Read 14014 times)
Description: Fluorite
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Prokofiev
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« on: October 06, 2011, 09:37:36 AM »

Crystals are the less fractal patterns that nature can form. Straight lines, cubes, trianglular shapes etc...crystals are too euclidian, and not irregular enough. That is why they look so apealing to our eye.
But crystals can also display beautiful fractal patterns and self similarities, take a look at this fluorite from Illinois, I find it outstanding !.

« Last Edit: October 19, 2011, 09:32:41 AM by Prokofiev » Logged

Sincerely,
Alexis
bib
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At the borders...


100008697663777 @bib993
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« Reply #1 on: October 06, 2011, 09:48:42 AM »

Hi Prokofiev,

Agreed! Crystals are absolutely fascinating from a fractal perspective. I don't remember if you have visited the crystal museum when we were at the CIJM fair in Jussieu, it was absolutely stunning to see what Nature is capable of!

cheers

bib
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Between order and disorder reigns a delicious moment. (Paul Valéry)
DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #2 on: October 06, 2011, 09:52:23 AM »

I am sure that if you write an IFS algorithm at low iters and some random mangling about sizes and rotations you obtain a very similar image. A Beer Cup

I remember some similar stuff in a famous 3D program anyway (Bryce?). alien
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Prokofiev
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« Reply #3 on: October 06, 2011, 10:55:53 AM »

Hi Prokofiev,

Agreed! Crystals are absolutely fascinating from a fractal perspective. I don't remember if you have visited the crystal museum when we were at the CIJM fair in Jussieu, it was absolutely stunning to see what Nature is capable of!

cheers

bib
Yes, I have seen this little museum in Jussieu 3 or 4 times, including during our CLJM fair together. The nicest collection in France.
A real shock. The first time, I just wanted to show the kids some "nice stones". Once inside, I kept on answering "oh, just 2 minutes more, please", as they were asking desperately "Daddy, can we go now ?" every minute. I was hooked.  cheesy
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Alexis
Prokofiev
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« Reply #4 on: October 07, 2011, 11:04:40 AM »

Another Fluorite with infinite cubic details at all scales. It was for sale on Ebay. Far too expensive for me...

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Alexis
Prokofiev
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« Reply #5 on: October 07, 2011, 11:13:28 AM »

Want one more ?  cheesy Wow ! some of the cubic details are really tiny !
« Last Edit: October 07, 2011, 11:18:52 AM by Prokofiev » Logged

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Alexis
LMarkoya
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« Reply #6 on: October 07, 2011, 03:23:25 PM »

Like the first example much more than the others.
It is a clear example how less can be more
It is a rule that easily can be used when producing bulbs for the galleries here, though often enough, it is not so easy to make things simpler
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Syntopia
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« Reply #7 on: October 07, 2011, 04:05:26 PM »

I am sure that if you write an IFS algorithm at low iters and some random mangling about sizes and rotations you obtain a very similar image. A Beer Cup

I just tried. Much room for improvement (some of the bigger cubes are way too pure), but I certainly think it is possible.

In order to get a picture similar to the first one, you would have to use a raytracer with a fancy shader mixing sub-surface scattering with metallic shading. And probably a lot of patience :-)

Code:
//  Structure Synth Script
set maxdepth 600
set background grey
{ color white  } main

rule main w 100 {
   final   
   { y 0.4 rx 89  hue 1  s 0.995 b 0.999 } main
}

rule main w 100 {
   final   
   { y 0.4 rx 89 hue -1 rz -90  s 0.995 b 0.999 } main
}

rule main w 100 {
   final   
   { y 0.4 rx 90 hue 0 rz 90 s 0.995 b 0.995 } main
}

rule main w 3 { 
   { rz 15 s 1 1 1  }  main
   { ry 4 h 1  s 1 1 1 }  main
}

rule final  {   {  s 1 5 1  } box }
rule final  {   {  s 5 1 1  } box }
rule final  { }

set raytracer::dof [0.158,0.05]
set raytracer::samples 10

(Structure Synth with internal raytracer)


* crystal.jpg (35.99 KB, 800x412 - viewed 450 times.)
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Prokofiev
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« Reply #8 on: October 08, 2011, 09:27:14 PM »

Not bad !
Remember fluorites are made of cubes, not rectangles.
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Alexis
DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #9 on: October 08, 2011, 10:21:14 PM »

If you reduce the size variability probably it returns good smiley - or force both dimensions to be equal (but the result should look less realistic) anyway you are a wiz cheesy Luca
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Prokofiev
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« Reply #10 on: October 10, 2011, 10:36:11 AM »

Another fluorite from the Musquiz mine in Mexico. This location is famous for its fluorites with fractal patterns.
Its quality and transparency are exceptionnal !
Its price is exceptionnal as well...
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Alexis
Prokofiev
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« Reply #11 on: October 15, 2011, 03:26:30 PM »

Continuing my selection of fractal crystals, here is an unusual calcite piece, showing surprizing parallel square blades, at all scales !   shocked
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Alexis
Prokofiev
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Posts: 98



« Reply #12 on: October 18, 2011, 05:11:38 PM »

This one is for sale on eBay. Wonderful steps at all scales again !
Reasonable starting price.
I'll try a bid or two .... I hope it doesn't go too high !
I cross my fingers... smiley
« Last Edit: October 18, 2011, 05:14:24 PM by Prokofiev » Logged

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Alexis
Prokofiev
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« Reply #13 on: October 24, 2011, 09:54:05 AM »

I'll try a bid or two .... I hope it doesn't go too high !
I cross my fingers... smiley

I missed it :-(.
« Last Edit: October 24, 2011, 09:56:29 AM by Prokofiev » Logged

Sincerely,
Alexis
jehovajah
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May a trochoid in the void bring you peace


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« Reply #14 on: October 24, 2011, 10:43:47 AM »

Crystals are the less fractal patterns that nature can form. Straight lines, cubes, trianglular shapes etc...crystals are too euclidian, and not irregular enough. That is why they look so apealing to our eye.
But crystals can also display beautiful fractal patterns and self similarities, take a look at this fluorite from Illinois, I find it outstanding !.

Nature, and Euclid are often underestimated like this, and then the proposer has to contradict themselves when new discoveries are revealed .

These image are stunning, and should make you question your basic assumptions everyday!
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May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
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