```
//Zee Salman
//SECTION E
//fawziyas@andrew.cmu.edu
//Project- 07
var nPoints = 100;
var EPITROCHOID = 0; // Cartesian Parametric Form [x=f(t), y=g(t)]
var curveMode = EPITROCHOID;
function setup() {
createCanvas(400, 400);
frameRate(50);
}
function draw() {
background(180,190,175);
// draw the frame
fill(0);
noStroke();
noFill();
// draw the curve
push();
translate(width / 2, height / 2);
switch (curveMode) {
case EPITROCHOID:
drawEpitrochoidCurve();
break;
}
pop();
}
//--------------------------------------------------
function drawEpitrochoidCurve() {
// Epicycloid:
// http://mathworld.wolfram.com/Epicycloid.html
var nPoints = 20;
var radius = 50;
var separation = 125;
var x;
var y;
var a = mouseX / 10;
var b = a / 10.0;
var h = constrain(mouseY / 20.0, 20, b *50);
var ph = mouseX / 50.0;
stroke(255, 250, 100);
strokeWeight(3);
//BIGGER SHAPE
beginShape();
for (var i = 0; i < nPoints; i++) {
var t = map(i, 0, nPoints, 0, TWO_PI);
x = (a +30 + b) * cos(t) - h * cos(ph + t * (a + b) / b);
y = (a+30 + b) * sin(t) - h * sin(ph + t * (a + b) / b);
vertex(x, y);
}
endShape(CLOSE);
//// smaller shape
stroke(245, 20, 200);
beginShape();
for (var i = 0; i < nPoints; i++) {
var t = map(i, 0, nPoints, 0, TWO_PI);
x = (a + b) * cos(t) - h * cos(ph + t * (a + b) / b);
y = (a + b) * sin(t) - h * sin(ph + t * (a + b) / b);
vertex(x, y);
}
endShape(CLOSE);
push();
translate(5*separation, height / 2);
var qx = 0;
var qy = 0;
for (var i = 0; i <= nPoints; i++) {
var theta = map(i, 0, nPoints, 0, TWO_PI);
var px = radius * cos(theta);
var py = radius * sin(theta);
if ((i % 2 == 0) & (i > 1)) {
line(qx, qy, px, py);
}
qx = px;
qy = py;
}
pop();
//// smallest shape
//// smaller shape
stroke(mouseY,45,mouseX)
beginShape();
for (var i = 0; i < nPoints; i++) {
var t = map(i, 0, nPoints, 0, TWO_PI);
x = (a/2 + b) * cos(t) - h * cos(ph + t * (a + b) / b);
y = (a/2 + b) * sin(t) - h * sin(ph + t * (a + b) / b);
vertex(x, y);
}
endShape(CLOSE);
//outer shape
stroke(mouseY, mouseX, 200);
push();
rotate(mouseX*6/ mouseY*6);
strokeWeight(2);
beginShape();
for(var i = 0; i < 200; i +=2) {
var x = a * (10 * cos(i) - cos(i));
var y = a * (10 * sin(i) -sin(i));
vertex(x, y);
}
endShape();
pop();
}
```

I started out wanting to do something floral or something almost pufferfish like but I started to stray away from those because I started to experiment more with my code. I started looking at the constraints and seeing where I can really try to make the piece interesting without losing sight of the project. Also trying to make each part visible to the user. I also played around with repetition and space which I really liked together in the composition. I would also like to take this project further and see how maby Epitrochoids I can fit onto one canvas and how I can make them more complex while again, making it clear.