Golden Rectangle

This project uses three.js. Make your choice and press reset. Or press play button and change settings.

code

///////////////////////////////////
// GOLDEN RATIO ///////////////////
/* global variable Golden Ratio */

function goldenRatio(b, maxIterations) {
var x = 0;
var y = 0;
var z = 0;
var a = 1.0;
var goldenRatio = 1.6180339887;
var c = b;
var r = 1.0;
var fact = program.get('position');

var i = 1;

while (i <= maxIterations){
r = mod (i, 4); //(i % 4);
if (i == 1) {
x = x + b / 2;
y = y + b / 2;
z = z + b / 2;
} else if (i > 1) {
if (r == 1) { // 0.25
x = x - ((c - b) / 2);
y = y + ((c - b) / 2) * fact;
z = z - ((c + b) / 2);
} else if (r == 2) { // 0.5
x = x + ((c + b) / 2); // red
y = y + ((c - b) / 2) * fact; // green
z = z - ((c - b) / 2); // blue
} else if (r == 3) { // 0.75
x = x + ((c - b) / 2);
y = y + ((c - b) / 2) * fact;
z = z + ((c + b) / 2);
} else if (r == 0) { // 0
x = x - ((c + b) / 2);
y = y + ((c - b) / 2) * fact;
z = z + ((c - b) / 2);
};
};
a = b / goldenRatio;

//if (i == maxIteration) {
drawCube (b, x, y, z);
//}

c = b;
b = a;
i = i + 1;
}
}

function drawCube(b, x, y, z) {
/* construct object */
var object = new THREE.Object3D();
/* cube */
var mGeometry = new THREE.BoxGeometry( b, b, b );
var mMaterial = new THREE.MeshLambertMaterial( { color: 0xffff00 } );
var cube = new THREE.Mesh( mGeometry, mMaterial );
cube.position.set(x - 2, y, z + 1);
}

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Journal Paper: Fractal and Fractional, 5 (2021), 4; S. 1 - 25.
DOI 10.3390/fractalfract5040244