# sunmink-Project07-Curves

``````//SunMin Kim
//Section E
//sunmink@andrew.cmu.edu
//project-07

// http://mathworld.wolfram.com/Epicycloid.html

function setup() {
createCanvas(480, 480);
frameRate(10);
}

function draw() {
background(139, 181, 115);
//drawing is moving in the center
translate(width/2, height/2);

//draw the curve
drawEpitrochoid();

}

function drawEpitrochoid() {
var nPoints = 500;
strokeWeight(1);
fill(86, 149, 204);
stroke(228, 213, 110);

var x;
var y;

var h = constrain(mouseY, 0, 480);
var a = mouseX / 2;
var b = mouseX / 400;

beginShape();
for(var i = 0; i < nPoints; i ++){
var t = map(i, 0, nPoints, 0, TWO_PI);
//epitrochoid equation (x position)
var x = (a + b) * cos(t) - h * cos (((a+ b)/b)*t);
//epitrochoid equation (y position)
var y = (a + b) * sin(t) - h * sin (((a+ b)/b)*t);

vertex(x, y);
}

endShape();
}
``````  For this project, after reading the sample codes, I was excited to create art using various curves. Thus I took benefit of the formula provided in Wolfram Mathworld website and created this project. Throughout this project, I struggled the most when thinking about appropriate values for each variable. I feel good with the outcome that I successfully used each variable to display what I wanted to show.