eeryan-Project07-Curves

sketch

function setup() {
  createCanvas(400, 400);
  frameRate(10);
}


function draw() {
  background(245, 252, 99);
  // draw the frame
  fill(0);
  noStroke();
  stroke(1);

  // draw the curve
  push();
  translate(width / 2, height / 2);
  drawNeoid();
  pop();
}

function drawNeoid(){
  var x;
  var y;
  var ac = mouseX/50;
  var a = constrain(ac, 0.4, 80);//constrains variable to keep curve from scrunching too small
  var b = mouseY/100;
  noFill();
  stroke(0,0,255);
  strokeWeight(2);
  beginShape();
  for(var i = 0; i < width; i+=5){
    var t = map(i, 0, -10, 10, TWO_PI);//maps theta so curve expands and contracts smoothly
    x = cos(t) * (a * t + b);//parametric equation for neoid
    y = sin(t) * (a * t + b);//parametric equation for neoid
    vertex(x,y);
  }
  endShape(OPEN);
}

I started by playing with the epichondroid curve example code. By using the vertex command twice with differently ordered variables, I was able to render the curves in interesting ways. I then moved to playing around with a neoid curve, and by adjusting the for loop I was able to achieve the curve I ended up with.

These are examples of what the curve would have looked like if my for loop had added 5, 10, and 15 to i.