var depth:Int = 3;
        latticeorder = [];
        for (k in -depth ... (depth+1)) {
            for (j in -depth ... (depth+1)) {
                for (i in -depth ... (depth+1)) {
                    var v:Vector3D = new Vector3D(i, j, k);
                    if (latticeorder.indexOf(v) == -1) {
                      latticeorder.push(v);
                    }
                }
            }
        }

        latticeorder.sort(function(a:Vector3D, b:Vector3D):Int { return (a.length > b.length)?1: -1; } );