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Real World Examples & Fractical Applications => Fractals Applied or in Nature => Topic started by: cKleinhuis on November 21, 2011, 01:50:00 PM




Title: birds forming a sierpinski triangle
Post by: cKleinhuis on November 21, 2011, 01:50:00 PM
just found this on facebook:

(http://a4.sphotos.ak.fbcdn.net/hphotos-ak-ash4/393512_10150485306154384_785694383_10683035_353418948_n.jpg)

dunno if its fake or really real, but somehow cool ;)


Title: Re: birds forming a sierpinski triangle
Post by: KRAFTWERK on November 21, 2011, 02:41:46 PM
I do not think it is fake, I see those bird patterns at home sometimes.
But you need a pretty good imagination to see the sierpinski triangle...  O0


Title: Re: birds forming a sierpinski triangle
Post by: taurus on November 21, 2011, 04:01:14 PM
one can also see the silhouette of a mountain range here, which is not so far away from a sierpinski triangle.
the mont-blanc massive fits quite ok if you flip it horizontally...  :dink:

(http://www.weltweit-urlaub.de/bilder/foto-infothek/italien/monte-bianco/mont-blanc-wanderung.jpg)


Title: Re: birds forming a sierpinski triangle
Post by: DarkBeam on November 21, 2011, 08:11:51 PM
Okay, "Fractals everywhere" was a good book but you are getting carried away? :rotfl:


Title: Re: birds forming a sierpinski triangle
Post by: cKleinhuis on November 22, 2011, 12:50:40 AM
I do not think it is fake, I see those bird patterns at home sometimes.
But you need a pretty good imagination to see the sierpinski triangle...  O0

you can even spot self similarities in there, you have many small triangles, several smaller ( or nearly same amount ) and ... they form a triangle ;)
simple as that ;) it isnt geometrically "perfect" but the structure is recognizable ...

sure it comes out of an easy algorithm....

for every bird:
if no one in front of you take travel speed
if you have birds in front of you target left or either right side - a bird-place.distance to the right/left - preferably the closest one


would be interesting to see if crowd systems would form a sierpinski as well ;) but not in the mood of crowd simulating ....



Title: Re: birds forming a sierpinski triangle
Post by: KRAFTWERK on November 22, 2011, 09:08:24 AM
I do not think it is fake, I see those bird patterns at home sometimes.
But you need a pretty good imagination to see the sierpinski triangle...  O0

you can even spot self similarities in there, you have many small triangles, several smaller ( or nearly same amount ) and ... they form a triangle ;)
simple as that ;) it isnt geometrically "perfect" but the structure is recognizable ...

sure it comes out of an easy algorithm....

for every bird:
if no one in front of you take travel speed
if you have birds in front of you target left or either right side - a bird-place.distance to the right/left - preferably the closest one


would be interesting to see if crowd systems would form a sierpinski as well ;) but not in the mood of crowd simulating ....




The reason birds take that position has to to with aerodynamics too, it gives them less drag due to the birds "in front".


Title: Re: birds forming a sierpinski triangle
Post by: bib on November 22, 2011, 09:13:17 AM
Looks like cellular automata more than pure Sierpinski


Title: Re: birds forming a sierpinski triangle
Post by: Madman on November 22, 2011, 11:31:52 PM
Quote
The reason birds take that position has to to with aerodynamics too, it gives them less drag due to the birds "in front".

Well... not exactly... Aerodynamics: yes,drag: no. What happens is that every wing creates a vortex at the wingtip. If the bird behind the first bird puts its wing in the upgoing part of the vortex, you have "free" energy (wel not exactly, because it is created by the bird in  front), so you don't need to flap your wings as much ;-)

(Okay, maybe I'm splitting hairs here, but I'm a glider pilot and thus interested in any airflow going up  ;D)