Sheenu-Project-07-Composition with Curves

sketch

//Sheenu You
//Section E
//sheenuy@andrew.cmu.edu
//Project 07
var nPoints = 100;
function setup() {
    createCanvas(480, 480);
    background(0);

}
function draw(){
	background(218,205,188)
	drawLoopFlower();

}

function drawLoopFlower() { 
	//SHIFTS SHAPE INTO CENTER OF CANVAS
	translate(240,240);
	//MULTIPLIES SHAPE
	//MATH VARIABLES
	for (var o=0; o<80; o++){
	var x;
	var y;
	var a=o*.5+mouseX/5
	var b=mouseX/30;

	stroke(56+o*1,82-o*1,139-o*1);

	noFill();
	
	//STARTS SHAPE
	beginShape();
	
	//MATHEMATICAL EQUATION FOR EPIcyCLOID 
	//x=(a+b)cos(theta)-bcos((a+b)/b*theta)
	//y=(a+b)sin(theta)-bsin((a+b)/b*theta)
	//ellipse(240,240,a,a)
	
	for (var i =0; i<nPoints; i++){
		var t = map(i,0,nPoints,0, TWO_PI);
		x=(a+b)*cos(t)-b*cos(((a+b)/b)*t+80)
		y=(a+b)*sin(t)-b*sin(((a+b)/b)*t+80)
		//x=o*a*((b-1)*cos(t)+cos((b-1)*t))/b
		//y=o*a*((b-1)*sin(t)-sin((b-1)*t))/b
		vertex(x,y);
	}
	//END SHAPE
	endShape(CLOSE);
}

}

Many curve compositions posted on site inspired me to make this curve. I used a for loop to multiply the number of curves so it can create a much more visually appealing and interesting picture. I also found a color palette I liked and used it in this image. I transformed the common Hypotrochoid curve in the example into a beautiful and much more interesting shape.

Author: Sheenu You

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