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Real World Examples & Fractical Applications => Fractals Applied or in Nature => Topic started by: Tglad on January 21, 2011, 01:15:39 AM




Title: Trees in nature
Post by: Tglad on January 21, 2011, 01:15:39 AM
The best example of the tree class would be a... tree I suppose-
(http://ih0.redbubble.net/work.74824.11.flat,550x550,075,f.boab-tree-on-a-melon-field.jpg)
As long as the branches aren't touching each other.

More generally you could think of a tree fractal as taking a big lump of clay then continually adding smaller lumps onto it, taking care to not to form any loops.
So this is a tree
(http://upload.wikimedia.org/wikipedia/commons/5/58/Ivy_Mike_-_mushroom_cloud.jpg)

And this
(http://www.free-background-wallpaper.com/images/Wallpapers1600/Clouds-Sky/cumulus-clouds-BW.jpg)

Even this stock photo of a rock is a tree... small lumps on bigger lumps-
(http://image.shutterstock.com/display_pic_with_logo/164113/164113,1228149889,11/stock-photo-a-picture-of-a-piece-of-scaly-rock-taken-close-enough-to-become-abstract-21359524.jpg)

Can you think of any other examples?


Title: Re: Trees in nature
Post by: Jameses on January 21, 2011, 01:58:14 AM
The first couple divisions of a ferilized egg
(http://t1.gstatic.com/images?q=tbn:ANd9GcTt_d4SPmi2jIdULaQHK9twpX0o5-8rJdvwWrkp0PoyPYAv7DX9)


Title: Re: Trees in nature
Post by: Power 8 on January 23, 2011, 01:18:08 PM
Hi
Great series of posts Tglad !

Here are some more "tree fractals": river deltas as seen from above in Google Earth:

(http://lariphotos.free.fr/googleearth%20art/delta2.jpg)

(http://lariphotos.free.fr/googleearth%20art/delta3.jpg)

Rivers = Horizontal trees

Also this image of the Sahara desert, a hybrid of trees and cluster?

(http://lariphotos.free.fr/googleearth%20art/desert.jpg)





Title: Re: Trees in nature
Post by: Tglad on January 23, 2011, 11:02:05 PM
Nice examples, and the desert scene is, well, strange isn't it, never seen that before. Does look like a hybrid of tree and cluster, a cluster of trees, in 2d.
A normal hilly or mountain landscape is also a hybrid, tree+shell as its bumps+dips on larger bumps+dips.

I almost forgot our most famous tree fractal-
(http://www.wired.com/wiredscience/wp-content/gallery/fractal/fractal_10.jpg)


Title: Re: Trees in nature
Post by: cKleinhuis on January 24, 2011, 12:32:18 AM
the romanescou is somehow like an inverted tree ;)
a negative one :D


Title: Re: Trees in nature
Post by: Tglad on January 27, 2011, 11:53:15 PM
Crashing waves are a tree fractal from underwater
(http://www.corbisimages.com/images/67/B2D96C3E-BD3D-4022-87A6-3B8BE7946FC7/42-20175619.jpg)
(http://www.oceanwideimages.com/images/1047/large/24M2455-16-scuba-diver-breaking-wave.jpg)
Or if you think of the water as the fractal then it is a shell.


Title: Re: Trees in nature
Post by: visual.bermarte on January 28, 2011, 01:09:16 PM
cumulonimbus-clouds?
Physical categories> http://en.wikipedia.org/wiki/Cloud
a cloud can't be a shell, no? never! but it could be a cluster..

(http://www.blogodisea.com/wp-content/uploads/2011/01/nube-cumulo-nimbo.jpeg)
check also fractus type  :) http://en.wikipedia.org/wiki/File:Lowcloudsymbols.gif


Title: Re: Trees in nature
Post by: Tglad on January 29, 2011, 12:58:55 AM
Yes nice example.
I don't think a cloud would ever be a shell as shells are sort of recursively concave if that makes any sense,
but they could be a cluster, maybe like this
http://image36.webshots.com/36/2/94/10/2164294100064685528hrhvgt_fs.jpg (http://image36.webshots.com/36/2/94/10/2164294100064685528hrhvgt_fs.jpg)
A cluster of trees.

They are also a cluster in the sense of being a cluster of water droplets.


Title: Re: Trees in nature
Post by: Jameses on January 30, 2011, 03:40:22 AM
the romanescou is somehow like an inverted tree ;)
a negative one :D
quit being so negative


Title: Re: Trees in nature
Post by: Xazo-Tak on September 08, 2011, 01:30:13 AM
Shell fractals seem to be exactly the opposite to tree fractals, and vice versa.