Project: 07 Curves

//Jacky Lococo
//jlococo
//Section C
var nPoints = 50; // points on the epispiral and ranunculoid
function setup() {
    createCanvas(480, 480);
}

function draw() {
    background(255);
    push()
    translate(width/2, height/2)
    rotate(mouseX/2, mouseY/2)
    epispiralOne() //espiral - will repeat this shape to make more spiral lines
    epispiralOne()
    rotate(mouseX/4, mouseY/2)
    epispiralOne()
    ranunculoid() //flower curve -- will repeat to create spirals
    rotate(mouseX, mouseY)
    scale(2.0)
    ranunculoid() //flower curve scaled by factor of 2
    ranunculoid()
    scale(0.5)
    ranunculoid()
    pop()

    push()
    scale(2.0) //scaled up flower in top left corner
    ranunculoid()
    pop()
    ranunculoid() // flower in top left corner

    push()
    translate(width, height)
    ranunculoid()// flower in bottom right corner
    scale(2.0)//scaled up flower in right corner
    ranunculoid()
    pop()

    ellipse(width/2, height/2, mouseY/30, mouseY/30 ) //creates scaling ellipse


}

function epispiralOne(){ //episprial with two curves
    var a = 40
    var b = a / 2.0;
    var h = mouseX
    var ph = mouseX / 50.0
    noFill()
    strokeWeight(2)
    stroke(0, 100, mouseY)
    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); //formulas
        y = (a + b) * sin(t) - h * sin(ph + t * (a + b) / b);
        vertex(x,y)
    }
    endShape()

}

function ranunculoid(){ // type of Epicycloid with four petals
    var a = mouseY / 30 // changes the size of the shape
    noFill()
    stroke(mouseX, 0, 100) // changes just the red value 
    strokeWeight(1)
    beginShape();
    for (var i = 0; i < nPoints; i++) {
        var t = map(i, 0, nPoints, 0, TWO_PI);
        x = a*(6 * cos(t) - cos(6*t)); //formulas
        y = a*(6 * sin(t) - sin(6*t));
        vertex(x,y)
    }
    endShape()

}