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13432 clicks; posted to Main » on 25 Apr 2013 at 9:30 AM (4 years ago)   |   Favorite    |   share:    more»

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I love this stuff. Fractals. Phi and Pi. Natures insistence on being seemingly random yet always adhering to a few basic mathematical themes.

Every time I think too hard about this stuff I get this feeling there is a simple underlying truth lying right in front of our faces that ties so many of our observations together. Something as obvious and yet equally as elusive as the concept of zero.

I hope someone doesn't post the .gif of the infinite Buseys.

give me doughnuts: I hope someone doesn't post the .gif of the infinite Buseys.

As requested

Fibonicci.

MurphyMurphy: I love this stuff. Fractals. Phi and Pi. Natures insistence on being seemingly random yet always adhering to a few basic mathematical themes.

Every time I think too hard about this stuff I get this feeling there is a simple underlying truth lying right in front of our faces that ties so many of our observations together. Something as obvious and yet equally as elusive as the concept of zero.

understands completely. Watch out for bugs and power drills dude

Pi is weird. If the diameter of a circle is rational, the circumference is irrational. If the circumference is rational, the diameter is irrational.

Find the spiral to the end !

Spiral out.

I've always called it the Mandelbutt set. For obvious reasons.

JohnCarter: give me doughnuts: I hope someone doesn't post the .gif of the infinite Buseys.

As requested

[25.media.tumblr.com image 360x240]

OK, that was creepy

From really cool fractal screen saver here

How exactly do fractals apply to rivers? What am I supposed to see here?
Erosion, gravity, et cetera et cetera, but I'm not seeing the contribution of fractals.

God-is-a-Taco: [images.mnn.com image 530x310]

How exactly do fractals apply to rivers? What am I supposed to see here?
Erosion, gravity, et cetera et cetera, but I'm not seeing the contribution of fractals.

"Self-similarity" is a quality common to fractals - the main river is fed by tributaries which are structurally very similar, which are in turn fed by smaller streams, which, again, look a lot like the main river, etc.

JohnCarter: give me doughnuts: I hope someone doesn't post the .gif of the infinite Buseys.

As requested

[25.media.tumblr.com image 360x240]

That's funny, but I think the Busey family photo is miles more funny....

Morpher59: God-is-a-Taco: [images.mnn.com image 530x310]

How exactly do fractals apply to rivers? What am I supposed to see here?
Erosion, gravity, et cetera et cetera, but I'm not seeing the contribution of fractals.

"Self-similarity" is a quality common to fractals - the main river is fed by tributaries which are structurally very similar, which are in turn fed by smaller streams, which, again, look a lot like the main river, etc.

also, historically some of the beginning work with fractals stems from the question "How long is the coastline of England?"

turns out the length of a coastline is dependent on the length of the measuring stick.

NOVA had a nice special on it, google NOVA fractals and mandelbrot and you should be able to find it.

You're Rorschach test on fire you're a flaming pterodactyl. you're a heart shaped box of strings and wire, you're one bad-ass farking fractal!

God-is-a-Taco: [images.mnn.com image 530x310]

How exactly do fractals apply to rivers? What am I supposed to see here?
Erosion, gravity, et cetera et cetera, but I'm not seeing the contribution of fractals.

If you could zoom in on a portion of the river, it would look "just like" the larger part of the river.  Same with mountains.

Or so the Germans would have you believe.

The creepiest fractals in nature are Lichtenberg figures, the mark that appears on your body after you've been struck by lightning. (Click link below to see. Warning: kind of gross.)

http://farm6.static.flickr.com/5196/6942696184_bca44032bf.jpg

Fractals: Hunting the Hidden Dimension is a good docu on (non-lightning related) fractals...

Morpher59; Hyjamon; Broktun:

Thanks for the info, guys. The article and picture didn't really help me much.

give me doughnuts: Pi is weird. If the diameter of a circle is rational, the circumference is irrational. If the circumference is rational, the diameter is irrational.

Satan.

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