abradbur – Project-07 – Curves

icantbelieveit’snotHS

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

function draw() {
    background(56, 136, 249);
    stroke(66, 229, 253);
    strokeWeight(5);
    noFill();

    //shaky box
    rect(width/2 - random(118,120), height/2 - random(118,120),
    random(238,240), random(235,240));

    //draw the hypcocylcoids
    push();
    translate(width/2, height/2);
    drawHypocyclo();
    drawCyclo2();
    pop();

}

function drawHypocyclo(){ //hypocycloid
    var x;
    var y;
    //big radius
    var a = map(mouseX, 0, 480, 50 *.01 * mouseX, 25 * .01 * mouseX);
    //lil radius
    var b = map(mouseY, 0, 480, 1 * .01 * mouseY, 10 * .01 * mouseY);
    var r; //angle

    beginShape();
    stroke(255);
    strokeWeight(1);
    for (var r = 0; r < TWO_PI * 10; r += 0.01){
        x = (a - b) * cos(r) - b * cos(((a-b)/(b))* r);
        y = (a - b) * sin(r) + b * sin(((a-b)/(b))* r);
        vertex(x,y);
    }
    endShape();

}

function drawCyclo2(){
    var a = map(mouseX, 0, 480, 50 *.01 * mouseX, 80 * .01 * mouseX); 
    var b = map(mouseY, 0, 480, 10 * .01 * mouseY, 90 * .01 * mouseY); 
    
    beginShape();
    stroke(66, 229, 253);
    strokeWeight(3);
    for (var r = 0; r < TWO_PI * 50; r += 0.01){
        x = (a - b) * cos(r) - b * cos(((a-b)/(b))* r);
        y = (a - b) * sin(r) + b * sin(((a-b)/(b))* r);
        vertex(x,y);
    }
    endShape();
}

    

I had a surprising amount of fun with this project once I was able to figure out the math and which variables to apply to which mouse function. It was also a good opportunity for me to finally figure out how the map(); function works, which I really shouldn’t have saved for until now.

While I was playing around on the Mathworld website (wow) I found myself in love with the Hypocycloid and all the different patterns you could get out of it, so I drew two of them. I added the shaky box as a sort of center piece, and I like how it acts as a containment unit for the inner curve.

Here are a couple of states that I really enjoyed from my project.