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3D Fractals - 11/15/2009 10:15:28 PM   
Kirata


Posts: 15477
Joined: 2/11/2006
From: USA
Status: offline 		I'm sure we all remember looking at Mandelbrot sets and the endlessly fascinating detail that a fractal reveals. But you haven't seen anything until you've seen them rendered in 3D.

The site is here and you can scroll down (or jump using this link) for the images.

In a word ...WOW!

K.
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RE: 3D Fractals - 11/15/2009 11:31:06 PM   
ShellyD


Posts: 207
Joined: 3/27/2007
Status: offline 		Thaks for this link Kirata, could you please explain it in laypersons terms as I read as much as I could but I don't understand the base items.....even if that is an appropriate term for this. ie. are they real objects or an art/science form??

Thanks for any information you can give me as it is fascinating.

< Message edited by ShellyD -- 11/15/2009 11:32:06 PM >

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RE: 3D Fractals - 11/16/2009 4:18:35 AM   
DesFIP


Posts: 25191
Joined: 11/25/2007
From: Apple County NY
Status: offline 		To me, a mandelbrot is a Jewish biscotti, such as the ones I baked last week.




Attachment (1)

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RE: 3D Fractals - 11/16/2009 4:28:32 AM   
purepleasure


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Status: offline 		the pics are cool looking, but i have no idea of what i'm looking at

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RE: 3D Fractals - 11/16/2009 10:37:59 AM   
Kirata


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quote:

ORIGINAL: ShellyD

could you please explain it in laypersons terms as I read as much as I could but I don't understand the base items.....even if that is an appropriate term for this. ie. are they real objects or an art/science form??

Thanks for any information you can give me as it is fascinating.

I'm afraid it's all pretty much over my head, and I've forgotten what little I did once know. But Mandelbrot sets are not "real" objects, no, though nature does exhibit fractal qualities. Basically, I just posted the link because I found them to be strangely beautiful and I wanted to share.

K.

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RE: 3D Fractals - 11/16/2009 10:40:44 AM   
Musicmystery


Posts: 30259
Joined: 3/14/2005
Status: offline 		They are both fascinating and hauntingly beautiful.

Thanks!

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RE: 3D Fractals - 11/16/2009 10:44:11 AM   
mnottertail


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Joined: 11/3/2004
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quote:

ORIGINAL: ShellyD

Thaks for this link Kirata, could you please explain it in laypersons terms as I read as much as I could but I don't understand the base items.....even if that is an appropriate term for this. ie. are they real objects or an art/science form??

Thanks for any information you can give me as it is fascinating.



they are real. consider a mapmaker making the coastline of england (I think this is where mandelbrot started with his study of Julia sets.) in any case, if we draw a rough outline, and then we see it at that focus, we have one thing, but----if we draw to say exact scale for every mile, we see more features in the coastline, if we then divide that in half and do a scale of hal-mile, and half again and half again until it is microscopic.......
you begin to see small repeating patterns, self referential.

Like that picture of looking in a mirror, looking in a mirror, looking in a mirror, looking in a mirror...........

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RE: 3D Fractals - 11/16/2009 11:07:33 AM   
LaTigresse


Posts: 26123
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Status: offline 		Oh that is beautiful!!!

Thank you Kirata for sharing!


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RE: 3D Fractals - 11/16/2009 12:02:22 PM   
favesclava


Posts: 1608
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Status: offline 		very pretty. thanks for sharing.
off to ask Master to explain it.

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RE: 3D Fractals - 11/16/2009 4:00:31 PM   
thornhappy


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quote:

ORIGINAL: Kirata


quote:

ORIGINAL: ShellyD

could you please explain it in laypersons terms as I read as much as I could but I don't understand the base items.....even if that is an appropriate term for this. ie. are they real objects or an art/science form??

Thanks for any information you can give me as it is fascinating.

I'm afraid it's all pretty much over my head, and I've forgotten what little I did once know. But Mandelbrot sets are not "real" objects, no, though nature does exhibit fractal qualities. Basically, I just posted the link because I found them to be strangely beautiful and I wanted to share.

K.

These just blow me away.

If you can nab a copy (probably in a library), see James Gleick's Chaos - he does a rundown of fractals in there.  And he's gotta be good, since he's out of San Jose State!

BTW, remember Star Trek: The Wrath of Khan, and the flyovers of pines forests and such showing the Genesis Effect?  That's once of the earlier examples of fractals used for computer animation that greatly improved the simulation of natural structures like trees and foliage.

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RE: 3D Fractals - 11/16/2009 4:27:39 PM   
redwoodgirl


Posts: 243
Joined: 1/10/2009
Status: offline 		those are amazing. my um has saved the article in favorites
for a future A in math

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RE: 3D Fractals - 11/16/2009 8:22:35 PM   
thornhappy


Posts: 8596
Joined: 12/16/2006
Status: offline 		w00ty w00t for math folks!

(I've had a shitload of math, but found it to be very hard work!)

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RE: 3D Fractals - 11/16/2009 8:44:03 PM   
Daddysredhead


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From: Northern (yet still part of the South) Virginia
Status: offline 		Very, very pretty!

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RE: 3D Fractals - 11/21/2009 4:39:21 AM   
ShellyD


Posts: 207
Joined: 3/27/2007
Status: offline
quote:

ORIGINAL: mnottertail


quote:

ORIGINAL: ShellyD

Thaks for this link Kirata, could you please explain it in laypersons terms as I read as much as I could but I don't understand the base items.....even if that is an appropriate term for this. ie. are they real objects or an art/science form??

Thanks for any information you can give me as it is fascinating.



they are real. consider a mapmaker making the coastline of england (I think this is where mandelbrot started with his study of Julia sets.) in any case, if we draw a rough outline, and then we see it at that focus, we have one thing, but----if we draw to say exact scale for every mile, we see more features in the coastline, if we then divide that in half and do a scale of hal-mile, and half again and half again until it is microscopic.......
you begin to see small repeating patterns, self referential.

Like that picture of looking in a mirror, looking in a mirror, looking in a mirror, looking in a mirror...........


Thankyou for this explanation.....lateral thinking..I love it! But really a mind blowing concept to get these results.

(in reply to mnottertail)
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