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Author Topic: Patterns in ice  (Read 5612 times)
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fractower
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« Reply #15 on: February 24, 2012, 04:23:24 PM »

I attempted to code up a diffusion limited aggregation simulation that modeled a salt which is driven out of ice as it is formed. The ice will locally reduce the freezing point and diffuse away over time. It did not capture the linear growth as I had hoped. Also the simulation grid introduced a artifacts.


* test.jpg (141.5 KB, 600x600 - viewed 254 times.)
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simon.snake
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simon.fez SimonSideBurns
« Reply #16 on: February 24, 2012, 05:43:16 PM »

Whichever way you look at it, that's a lovely picture.

Nice job!

Simon

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David Makin
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« Reply #17 on: February 24, 2012, 11:21:37 PM »


.......
This looks very fractal like and I wonder how to recreate it in any fractal program available?


A modified form of DLA could probably produce something similar (diffusion limited aggregation).


Edit: Whoops, sorry I should have read the replies first wink

There's a fast but fake/pseudo DLA algorithm for Ultra Fractal, here's the "default" set up "correctly"....

Code:
Fractal1 {
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  irk2
}
« Last Edit: February 24, 2012, 11:36:14 PM by David Makin » Logged

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« Reply #18 on: February 25, 2012, 12:43:02 AM »

Decided to have a little play, I only wrote this formula just to see what the possibilities were, it really needs extending to arbitrary "dot" sizes - and of course 3D wink

Here's my 4th attempt:

Code:
Fractal1 {
::QJ8q+gn2l2ZXPuJSaU47jU+PY57n0cKqPomIuY3kJr0qNzMaytrUExG3NbwgXMOp79X/Wgdn
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}
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kram1032
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« Reply #19 on: February 25, 2012, 01:09:06 AM »

this looks like a fairly complex multi-fractal that needs multiple effects to be taken into account.
I think, diffusion limited aggregation already is the right track.
It also looks like there is some wind playing in there.
Expansion of the ice during freezing definitely also plays a role.

The aggregation a little further up looks like it used a quadratic grid. (If it used a discrete grid at all)
Snow and ice DEFINITELY needs hexagonal, especially since the crystal structure is that.

Salt probably isn't quite it. This thing has aggregation from random spheres that then freeze up and extend into hexagons, slightly pushing away the surrounding spheres or hexagons.
Water by itself has a fairly low probability of freezing. (In fact you can supercool water a couple of degrees below 0°C before it starts freezing). However, if ice already is in it, this process can happen very quickly. Probably, this freezing biasedness on a non-uniformly wet windows has to be modelled too.
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David Makin
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« Reply #20 on: February 25, 2012, 01:37:03 AM »

Had another try:




http://www.fractalforums.com/index.php?action=gallery;sa=view;id=10440


Parameters are with the image.

With respect to ice freezing on glass the following need to be considered: temperature and temperature gradient/s, pressure and pressure gradient/s, ice already present, dust/debris/grease on the window and probably some others I've missed such as water purity and ionization.
The formula I used for the above just has several ideas I added that relate only in a general way to such physical actions but it can work quite well with a little time/effort tweaking the parameters.
The main issue is that it needs extending to arbitrary shapes rather than existing as a fixed grid (of whatever shape/s).
One day I'll get back to it and do a 3D version - some of the DLA 3D plant sims are amazing wink
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Posts: 1863


« Reply #21 on: February 25, 2012, 03:16:20 AM »

this looks really nice smiley
The pattern on the window has a lot more swirls and tends to look much closer to trees and/or wind-lines, but this is already a very good approximation, I'd say...

If you adjust it slightly, this could also be a very nice model of a mountain with glaciers...
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weavers
Fractal Phenom
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Posts: 434


« Reply #22 on: February 25, 2012, 05:44:07 PM »

Greetings and Salutations to you Master David Makin.

Forsaken, in the beacon and lettuce nutriments bold caught ,yes tis true, we wish 2 speak 2 U. Perturber fractal observer, what in the cold, freezing cold we save for you, you may take a trip, return n a skip, and come another day, and when the ice melts you will fine your beacon and lettuce fresh again for you again that day! Once fresh and delicious, but now, into me man called ice I be. Preserver of history, Picture of me, I see you admire, sire, greatful, 2, U, 2 C, and one like you appreciate the service provided by the ice of me, before you, were you, were I , the Ice man be I. Could ya, please take another picture, we hold under the ice worlds secrets, where gold lay, waiting for your hands to hold!
           Please do more pictures of the snow, to you we told, the fractals of snow, our brothers want to know, look in the ice and see us microscopically obsessing and waiting fore you to take a swim while in a form when saw water we be warm, be warm, but beware when we turn cold, ice, is cold, notice if you be so kind, tree structuralities frosty trees bifurcating, relating stretching, the only permissible notion specializing in freezing strategies of time, is ice, we have to figure out, how to get out the secrets in side of me. Open your freezer, conversate with me again, with your  iphone snap shot picture facility. I promise to stay still, respecting your fractal eye compositional skills. I won't  move so you can get a steady shot, I got ice here there, friends in south and north injured radicals cells who try to live in me D eoxycholate-L actose-A gar at -78 C, don't love me, cause I hurt them, but complicated grief, and healing hinges on not hurt feeling, feeling do not occur when you are frozen, does not occur, your mind blurs, you may be eligible to participate, to see if you can survey in me, we preservers of people who roamed the earth a long, long, long, times ago. One day, we will  thaw them, out so you can be introduces to your ancestors!

We enjoyed the pictoriality, as a study in fratalfrozenalities, omission not in your compositions, greatful we be, to see the Cardioid shapes,
See it here.http://en.wikipedia.org/wiki/File:Cardioid_animation.gif
Resembling outer space star dust materials, shapes! Please add in to us, a drop or two a red blood colored ink, surprises will surprise your eyes, as what you see changes before thee, try a colored led on it too, from me to 2 U!  Till we meet again.

                                                                                      Thanks  friend




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