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02/12/2011 11:49:40 AM · #1
Fractal of a fractal of a fractal. Similar patterns recur at progressively smaller scales...partly random or chaotic.
02/12/2011 11:52:34 AM · #2
What sort of challenge rules? This sounds like it could violate basic and advanced rules. Or, is the idea to find such patterns that are occurring in the real world?
02/12/2011 12:07:08 PM · #3
Originally posted by Yo_Spiff:

What sort of challenge rules? This sounds like it could violate basic and advanced rules. Or, is the idea to find such patterns that are occurring in the real world?

Oh, I did mean this should be something as seen with one's eyes in the natural, real world. Basic rules would be my first choice. But, Advanced rules would be okay.
02/12/2011 12:09:58 PM · #4
Computer generated fractals are out, of course, since it's not photography. But having studied the subject (nonlinear dynamics) I can tell you that occurences of fractals, also known as self-simlarity, abound in nature. Trees are the textbook example, but clouds, mountains, coastlines, snowflakes, heartbeats, all qualify -- just about anywhere that nature produces a texture or rhythm or propagates itself. Hell, a picture of nothing but digital noise would qualify (hear that, ' . substr('//www.dpchallenge.com/images/user_icon/21.gif', strrpos('//www.dpchallenge.com/images/user_icon/21.gif', '/') + 1) . ' jmritz?).

I think it's a great idea.

edit: typos

Message edited by author 2011-02-12 12:22:19.
02/12/2011 12:18:08 PM · #5
Originally posted by bvy:

Computer generated fractals are out, of course, since it's not photography. But having studied the subject (nonlinear dynamics) I can tell you that occurences of fractals, also known as self-simlarity, abound in nature. Trees are the texbook example, but clouds, mountains, coastlines, snowflakes, heartbeats, all qualify -- just about anywhere that nature produces a texture or rhythm or propagates itself. Hell, a picture of nothing but digital noise would qualify (here that ' . substr('//www.dpchallenge.com/images/user_icon/21.gif', strrpos('//www.dpchallenge.com/images/user_icon/21.gif', '/') + 1) . ' jmritz?).

I think it's a great idea.


I hear you, noise is my friend.
02/12/2011 12:28:19 PM · #6
Sand dunes, snow drifts, fern fronds, conch shells, broccoli, crystals.... fractals abound in nature.

Message edited by author 2011-02-12 12:32:37.
02/12/2011 12:39:11 PM · #7
Would the challenge be to take a photo of the pattern itself, or a subject that includes such a pattern?
02/12/2011 12:39:41 PM · #8
Originally posted by Yo_Spiff:

Would the challenge be to take a photo of the pattern itself, or a subject that includes such a pattern?

Yes.
02/12/2011 12:55:40 PM · #9
Examples of fractals in nature
02/12/2011 01:17:27 PM · #10
As a not-too-off topic aside to this, I didn't learn until last week that the great Mandelbrot had passed on last year. He was a Polish-French Jew who survived the Nazi years in Europe, and later in life, he endured another kind of oppression -- that of the academic world for his revolutionary ideas.

Who knew when I entered this that he had only three months left?
02/12/2011 03:23:44 PM · #11
Would like to explore this.
02/12/2011 03:25:58 PM · #12
A good challenge. I have always been fascinated by fractals. Two of my many challenge entries actually use the word in their titles :-) Both failed miserably, however :-(

R.
02/12/2011 03:39:29 PM · #13
Originally posted by bvy:

As a not-too-off topic aside to this, I didn't learn until last week that the great Mandelbrot had passed on last year. He was a Polish-French Jew who survived the Nazi years in Europe, and later in life, he endured another kind of oppression -- that of the academic world for his revolutionary ideas.

Who knew when I entered this that he had only three months left?


I met Mandelbrot once in early 90's. He was an interesting guy, but boy, so full of himself. I guess it must a necessary trait for prophets, preachers, and revolutionaries all of whom he undoubtedly was.

Robert, I also had one entry with a word fractal in it. Not too successful scorewise either, but I do like the image
' . substr('//images.dpchallenge.com/images_challenge/0-999/781/120/Copyrighted_Image_Reuse_Prohibited_618724.jpg', strrpos('//images.dpchallenge.com/images_challenge/0-999/781/120/Copyrighted_Image_Reuse_Prohibited_618724.jpg', '/') + 1) . '

oh, goes without saying, I do support the challenge.
02/12/2011 04:13:46 PM · #14
Originally posted by LevT:

I met Mandelbrot once in early 90's. He was an interesting guy, but boy, so full of himself. I guess it must a necessary trait for prophets, preachers, and revolutionaries all of whom he undoubtedly was.


LOL... So did I, a tad earlier. I thought he was a pompous ass, actually. But dang, he was a visionary.

R.
02/12/2011 04:36:48 PM · #15
I started a quilt top in the form of a serpinsky gasket years ago. I saw the pattern hanging on a physics professor's door, and converted it into a quilt pattern.
02/12/2011 04:59:48 PM · #16
Originally posted by bvy:

Computer generated fractals are out, of course, since it's not photography. But having studied the subject (nonlinear dynamics) I can tell you that occurences of fractals, also known as self-simlarity, abound in nature. Trees are the texbook example, but clouds, mountains, coastlines, snowflakes, heartbeats, all qualify -- just about anywhere that nature produces a texture or rhythm or propagates itself.


Such as these images? I'm curious to here your opinion.

' . substr('//images.dpchallenge.com/images_challenge/1000-1999/1086/120/Copyrighted_Image_Reuse_Prohibited_817614.jpg', strrpos('//images.dpchallenge.com/images_challenge/1000-1999/1086/120/Copyrighted_Image_Reuse_Prohibited_817614.jpg', '/') + 1) . ' ' . substr('//images.dpchallenge.com/images_challenge/1000-1999/1293/120/Copyrighted_Image_Reuse_Prohibited_922962.jpg', strrpos('//images.dpchallenge.com/images_challenge/1000-1999/1293/120/Copyrighted_Image_Reuse_Prohibited_922962.jpg', '/') + 1) . ' ' . substr('//images.dpchallenge.com/images_challenge/1000-1999/1303/120/Copyrighted_Image_Reuse_Prohibited_921424.jpg', strrpos('//images.dpchallenge.com/images_challenge/1000-1999/1303/120/Copyrighted_Image_Reuse_Prohibited_921424.jpg', '/') + 1) . '
02/12/2011 05:00:18 PM · #17
Sounds good to me.
02/12/2011 06:34:08 PM · #18
' . substr('//images.dpchallenge.com/images_challenge/1000-1999/1086/120/Copyrighted_Image_Reuse_Prohibited_817614.jpg', strrpos('//images.dpchallenge.com/images_challenge/1000-1999/1086/120/Copyrighted_Image_Reuse_Prohibited_817614.jpg', '/') + 1) . '
The tree leaves hanging down and the tree itself have fractal qualities, but these aren't the primary subjects of your excellent composition here.

' . substr('//images.dpchallenge.com/images_challenge/1000-1999/1293/120/Copyrighted_Image_Reuse_Prohibited_922962.jpg', strrpos('//images.dpchallenge.com/images_challenge/1000-1999/1293/120/Copyrighted_Image_Reuse_Prohibited_922962.jpg', '/') + 1) . '
This one definitely. Measuring the length of a coastline is a classic (and futile)exercise in the study of fractals, and this image communicates some of that. Also, the clouds and textures in the sand have fractal properties.

' . substr('//images.dpchallenge.com/images_challenge/1000-1999/1303/120/Copyrighted_Image_Reuse_Prohibited_921424.jpg', strrpos('//images.dpchallenge.com/images_challenge/1000-1999/1303/120/Copyrighted_Image_Reuse_Prohibited_921424.jpg', '/') + 1) . '
Uh... no.
02/12/2011 07:19:57 PM · #19
I think also related to fractals are patterns based on the Fibonacci number series.

' . substr('//images.dpchallenge.com/images_challenge/0-999/632/120/Copyrighted_Image_Reuse_Prohibited_467067.jpg', strrpos('//images.dpchallenge.com/images_challenge/0-999/632/120/Copyrighted_Image_Reuse_Prohibited_467067.jpg', '/') + 1) . '
05/14/2012 08:19:44 PM · #20
Fractals. I continue to believe this would make a very interesting challenge. Advanced Editing.

Bumping >> Bumping >> Bumping

Message edited by author 2012-05-14 21:24:36.
05/14/2012 09:01:44 PM · #21
too easy...

zn+1 = zn2 + c
05/14/2012 09:07:13 PM · #22
Originally posted by hahn23:

Fractals. It continue to believe this would make a very interesting challenge. Advanced Editing.

Bumping >> Bumping >> Bumping

Fractals. Could be done Minimal, or Basic. But Advanced would bring out the beauty of these patterns.
Oh, let's do it.
PLEASE!
05/14/2012 09:22:43 PM · #23
Originally posted by mike_311:

too easy...

zn+1 = zn2 + c

Julia set?
05/14/2012 10:30:59 PM · #24
child's play?
05/14/2012 10:58:37 PM · #25
As a mathematician I have to say - Yes, Yes and Yes for a fractal challenge.

But I tend to go with a preference of less editing and have people find them in nature. Capture the fractal as is.

(Then they can go map it to mathematics if they are inclined)
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