Infinity

Just enjoy this construction...

var brd = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-6, 6, 10, -8]});
brd.suspendUpdate();
var S = brd.create('slider', [[-5,-6],[5,-6],[0,0.95,1]], {name:'S'});
var hue = brd.create('slider', [[-5,-7],[5,-7],[0,8,36]], {name:'color'});
var points = new Array();
points[0] = brd.create('point',[5, 5], {name:' '});   
points[1] = brd.create('point',[-5, 5], {name:' '});  
points[2] = brd.create('point',[-5, -5], {name:' '}); 
points[3] = brd.create('point',[5, -5], {name:' '});  
 
function quadrangle(pt, n) {
    var col;
    var arr = new Array();
    for(var i = 0; i < 4; i++) {
        arr[i] = brd.create('point', 
            [function(t) {
                return function () {var x = pt[t].X(); 
                                var x1 = pt[(t+1)%4].X(); 
                                var s = S.Value();
                                return x+(x1-x)*s;
                         }}(i), 
             function(t) {
                return function () {var y = pt[t].Y(); 
                                var y1 = pt[(t+1)%4].Y(); 
                                var s = S.Value();
                                return y+(y1-y)*s;
                         }}(i)
            ], 
            {size:1, name:"",withLabel:false,visible:false});
    }
    col =  function(){return JXG.hsv2rgb(hue.Value()*n,0.7,0.9);};
    brd.create('polygon',pt, {fillColor:col});
    if(n>0)
        quadrangle(arr, --n);
   }
quadrangle(points,30);
brd.unsuspendUpdate();