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ButterflyCurve (Read 456 times)
holger
ButterflyCurve
Jul 22nd, 2009, 12:41am  
there is this great ButterflyCurve
http://mathworld.wolfram.com/ButterflyCurve.html
it would be so great to translate it into processing...
where to start?
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Cedric
Re: ButterflyCurve
Reply #1 - Jul 22nd, 2009, 1:24am  
I always find this resource helpfull
http://local.wasp.uwa.edu.au/~pbourke/geometry/butterfly/

Anyway, using parts of yesyesnono code, this is it :
Code:

float t;
int NUM_ITER = 13;

void setup(){
size(1024, 768, JAVA2D);
smooth();
background(0);
t = 0.0f;
}


void draw(){
background(255);


for(float t=0.0f; t < TWO_PI*NUM_ITER; t+= 0.002f){
float theta = exp(cos(t)) - 2*cos(4*t) - pow(sin(t/12), 5);
float x = width/2+sin(t)*theta*80f;
float y = height/2+cos(t)*theta*80f;

stroke(0);
point(x-45,y-45);

}
}


maybe you get the idea comparing the code and the formula how it was done and could be transalted. maybe try it with another formular yourself
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holger
Re: ButterflyCurve
Reply #2 - Jul 22nd, 2009, 1:39am  
wow! ...another question; to have it as spline to be able to use fillings and play with the vertex parameters would be perfect.
wouldn't it be possible to make each wing out of 3 bezier points...?
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