Isometric Voxels

// isometric conversion
var centerX:Number=stage.stageWidth/2;
var centerY:Number=stage.stageHeight/2;
var theta:Number=Math.PI/4;// 45 degrees;
var cosX:Number=Math.cos(theta);
var sinX:Number=Math.sin(theta);
var pnt:Point = new Point();
function iso3D(x:Number, y:Number, z:Number):Point {
	pnt.x = centerX + (x-z) *  cosX
	pnt.y = centerY -  (x+z) * 0.5 * sinX - y;
	return pnt;
}
// example:
var canvas:BitmapData=new BitmapData(stage.stageWidth,stage.stageHeight,true,0xFF000000);
addChild(new Bitmap(canvas,"auto",true));
var size:int=100;
var hs:int=size / 2;
var pen:Point = new Point();
var vect:Vector3D = new Vector3D();
// draw a few shapes with offset:
for (var dist:int = 10; dist <= 80; dist *= 2) {
	// voxel space:
	for (var i:int = 0; i<size; i++) {
		for (var j:int = 0; j<size; j++) {
			for (var k:int = 0; k<size; k++) {
				vect.x=j-hs;
				vect.y=i-hs;
				vect.z=k-hs;
				pen = iso3D(vect.x,vect.y,vect.z);
				if (Math.sqrt((vect.x * vect.x) + (vect.y * vect.y) + (vect.z * vect.z)) <dist) {
					// using Vector3D.distance() is very slow compared to above
					// a few types of coloring:
					var xp:Number = pen.x + (dist <<2) - 200;
					canvas.setPixel(xp, pen.y-100, (i <<16 | j <<8 | k) <<1);
					canvas.setPixel(xp, pen.y+100, (k <<16 | k <<8 | k+j)  );
				}
			}
		}
	}
}

The above will draw this:

You can read more about voxels here.

This isn’t the speediest way to do voxels (especially if you want to animate). This was just the first thing that came to mind.