• fullscreen
• Collatz_Conjecture_timelapse_graph.pde
• ```float n = 3;
float h = 1;

void setup() {

size(600, 800);
background(0);

frameRate(5);

}

void draw() {

backGround();

Collatz(n);

if(keyPressed) {
keyPressed();
}

println("n = " + n);

n++;

}

void Collatz(float n) {

int f = 0;
float m = 0;
float high = 0;

while(n > h) {

m = n;

stroke(n, 255, 255);

if(n%2 == 0) {
n = n/2;
//point(f,height - n);
f+=5;

line(f+9,height - m - 10, f+10,height - n - 10);

}
else {
n = 3*n + 1;
//point(f,height - n);
f+=5;

line(f+9,height - m - 10, f+10,height - n - 10);

}
if(n > high) high = n;
if(n < h) noLoop();
}

stroke(255);
line(10,0,10,height-10);
line(10,height - 10, width, height - 10);

println("length = " + f);
println("high = " + high);

}

void backGround() {
noStroke();
fill(0,50);
rect(0,0,width,height);
}

void keyPressed() {

if(key == CODED) {
if(keyCode == UP) {
n++;
keyCode = LEFT;
}
if(keyCode== DOWN) {
n--;
keyCode = RIGHT;
}
}
}
```

### about this sketch

This sketch is running as Java applet, exported from Processing.

## Collatz Conjecture Time-Lapse

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Time Lapse of collatz conjecture starting at 3 and increasing by 1.

The height is the values that 'n' attains throughout the algorithm and the width is how many times the algorithm was executed.

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