Simulations for class rooms Yoshio Okamoto 12th May 2020 (Stay home programing Series No.6 from my FaceBook)
(Boids as a bird flocks simulator)
Boids is a simulator of birds flocks or fish schools developed by Craig Reynolds in 1986. https://www.red3d.com/cwr/boids/
Boids is based on only three simple rules,
1) Separation: steer to avoid crowding local flockmates
![](200px-Rule_separation.gif)
2) Alignment: steer towards the average heading of local flockmates
![](200px-Rule_alignment.gif)
3) Cohesion: steer to move toward the average position of local flockmates
![](200px-Rule_cohesion.gif)
(images and definition by C.Reynolds. images are from wikipedea)
Simple rules reproduce very complicated behavior of natural phenomena.
So, this is one of the famous examples of the complex system.
----"Flocking is a particularly evocative example of emergence: where
complex global behavior can arise from the interaction of simple local
rules." by C.Reynolds in the above pages.
I made a mimic of this simulation in early 2000; however, this was a cell automaton version of this program.
Today I complete a non-cell version of this program as a stay homework from full scratch.
You can enjoy my Boids from here;
http://seagull.stars.ne.jp/Simulations/Boids/web/boid_nr.html
However, this is a strict version of the above rules and including no
stochastic effect (parameter PR is zero). So, this is a little bit
boring.
My program
Paremeters:
So, added some stochastic effects version is here;
http://seagull.stars.ne.jp/Simulations/Boids/web/boid_cp.html
In this program, the parameters used are
MV: Alignment strength
DV: Cohesion strength
FK: Separation strength
PR: Stochastic additional effect control
![](data:image/png;base64,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)
You can enjoy more natural flocks behavior (parameter PR is non zero).
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by Y.Okamoto 2002-2020, All rights reserved.