# Ammar Hassonjee – Project 07 – Curves

``````/* Ammar Hassonjee
ahassonj@andrew.cmu.edu
Section C
Project 07
*/

var nPoints = 100;
var angle = 0;
var angle2 = 0;
var angle3 = 0;
function setup() {
createCanvas(480, 480);
}

function draw() {
background(map(mouseY, 0, height, 0, 255), map(mouseY, 0, height, 0, 255), map(mouseY, 0, height, 80, 255));

var a = map(mouseX, 0, width, 30, 300);
var b = a * (3 / 8);
var c = a / 8;
// Drawing the deltoid curves
fill(180, 0, 0);
push();
translate(width / 2, height / 2);
drawDeltoidCurve(a);
angle += map(mouseX, 0, 480, 2, 10);
pop();

// Varying the rotation angle
fill(0);
push();
translate(width / 2, height / 2);
drawDeltoidCurve(b);
angle2 += map(mouseX, 0, 480, 2, 10);
pop();

fill(180, 0, 0);
push();
translate(width / 2, height / 2);
drawDeltoidCurve(c);
angle += map(mouseX, 0, 480, 2, 10);
pop();

// Drawing the Ranunculoid curve with multiple iterations
push();
translate(width / 2, height / 2);
drawRanunculoidCurve(40);
drawRanunculoidCurve(20);
drawRanunculoidCurve(37);
angle3 += map(mouseX, 0 , width, .1, 5);
pop();

}

// Deltoid curve has parameter to alter size
function drawDeltoidCurve(value) {
var x;
var y;

noStroke();
// Drawing the first deltoid
beginShape();
for (var i = 0; i < nPoints; i++) {
var t = map(i, 0, nPoints, 0, TWO_PI);

// curve equation
x = (1 / 3) * value * (2 * cos(t) + cos(2 * t));
y = (1 / 3) * value * (2 * sin(t) - sin(2 * t));
vertex(x, y);
}
endShape(CLOSE);
}

// function has parameter to alter Ranunculoid curve size
function drawRanunculoidCurve(size) {
// http:mathworld.wolfram.com/Ranunculoid.html
var x;
var y;

// Varying the strokeweight and color of the Ranunculoid curve
stroke(map(mouseY, 0, height, 0, 255));
strokeWeight(map(mouseX, 0, width, 10, 0.1));
noFill();
beginShape();
for (var i = 0; i < nPoints; i++) {
var j = map(i, 0, nPoints, 0, TWO_PI);

// Curve equation
x = size * (6 * cos(j) - cos(6 * j));
y = size * (6 * sin(j) - sin(6 * j));
vertex(x, y);
}
endShape(CLOSE);

}
``````

When I first started this assignment, I was a little overwhelmed by the requirements and confused about how to translate mathematical curves into a graphic. Once I found two curves however with simple mathematical formulas, the ranunculoid and deltoid, I was able to build functions and then vary their parameters using the mouseX and mouseY variables to make an interesting drawing! ## Author: Ammar Hassonjee

I am a third year architecture student.