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// by treating it as a multisided polygon whose
// number of sides gradually decreases to three
var cx, cy;
var radius;
//-----------------------------------------
function setup() {
createCanvas(400, 400);
radius = width / 2 * 0.75;
cx = width / 2;
cy = height / 2;
}
//-----------------------------------------
function draw() {
background(255);
noFill();
stroke(0);
strokeWeight(3);
var maxSides = 60;
var minSides = 3;
var t = 0.5 + 0.5 * sin(millis() / 2000.0);
t = pow(t, 0.33333);
var nSidesf = constrain(map(t, 0, 1, maxSides, (minSides - 0.25)), minSides, maxSides);
var nSidesi = ceil(nSidesf);
var dang = TWO_PI / nSidesf;
var ang = HALF_PI + (TWO_PI - (((nSidesi - 1) * dang))) / 2.0;
if (nSidesi % 2 === 0) {
ang -= dang / 2.0;
}
beginShape();
for (var i = 0; i < nSidesi; i++) {
var px = cx + radius * cos(ang);
var py = cy + radius * sin(ang);
vertex(px, py);
ang += dang;
}
endShape(CLOSE);
}