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@tsulej
Created January 4, 2017 21:48
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Collatz visualized
// collatz conjecture visualization
// generateme.tumblr.com
void setup() {
size(2048, 500);
background(20);
stroke(220, 100);
strokeWeight(0.6);
smooth(8);
}
float ang = 0; // inital angle
float step = TWO_PI/200.0; // angle step
int c0 = 100000; // initial number for sequence
void draw() {
for (int i=0; i<200; i++) {
int c = c0;
int x = (c0-100000);
int y = 400;
// if c==4, sequence is cyclic
// hypothesis says, every collatz sequence ends with cycle 4,2,1,4,...
while (c!=4) {
if ((c&1)>0) { // change angle one direction...
ang+=step;
c=3*c+1;
} else { // ... or other
ang-=step;
c >>= 1;
}
x+=cos(ang);
y+=sin(ang);
point(x/5.0, y);
}
c0++; // next sequence
}
}
void keyPressed() {
saveFrame("res2#####.png");
}
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