var brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-0.02631578947368421, 1.0263157894736843, 1.2894736842105263, -0.02631578947368421]});
     var level = 0;
       function run() {
           JXG.JSXGraph.freeBoard(brd2);
           brd2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-0.02631578947368421, 1.0263157894736843, 1.2894736842105263, -0.02631578947368421]});
           level++;
           brd2.suspendUpdate();
            paint();
           brd2.unsuspendUpdate();
       }

       function paint() {
           // Initial triangle
           var xCoords = [0, 1, 0.5];
           var yCoords = [0, 0, 1];
           drawPolygon(xCoords, yCoords, level);
           drawTriangle({x:0,y:0}, {x:1,y:0}, {x:0.5,y:1}, level);
       }

       function drawPolygon(xCoords, yCoords,level) {
           p1 = brd2.create('point', [xCoords[0], yCoords[0]], {visible:false,name:'',withLabel:false});
           p2 = brd2.create('point', [xCoords[1], yCoords[1]], {visible:false,name:'',withLabel:false});
           p3 = brd2.create('point', [xCoords[2], yCoords[2]], {visible:false,name:'',withLabel:false});
           var colors=['#000000','#665566','#994499','#BB33BB','#EE99FF','#FFCCFF'];
           l1 = brd2.create('line',[p1,p2],{straightFirst:false,straightLast:false,strokeColor:colors[level%6],name:'',withLabel:false});
           l2 = brd2.create('line',[p2,p3],{straightFirst:false,straightLast:false,strokeColor:colors[level%6],name:'',withLabel:false});
           l3 = brd2.create('line',[p3,p1],{straightFirst:false,straightLast:false,strokeColor:colors[level%6],name:'',withLabel:false});
       }

       function drawTriangle(a, b, c, level) {
           if (level==0) return;
           level -= 1;

           // In das übergebene Dreieck, wird ein auf dem Kopf stehendes Dreieck eingefügt
           var xCoords = [c.x, (c.x+b.x)/2, (a.x+c.x)/2];
           var yCoords = [b.y, (c.y+a.y)/2, (c.y+a.y)/2];

           drawPolygon(xCoords, yCoords,level);

           // 3 neue Dreiecke bestimmen
           a1 = a;
           b1 = {x:c.x, y:b.y};
           c1 = {x:(a.x+c.x)/2, y:(c.y+a.y)/2};
           drawTriangle(a1, b1, c1, level);

           a2 = {x:c.x, y:b.y};
           b2 = b;
           c2 = {x:(c.x+b.x)/2, y:(c.y+a.y)/2};
           drawTriangle(a2, b2, c2, level);

           a3 = {x:(a.x+c.x)/2, y:(c.y+a.y)/2};
           b3 = {x:(c.x+b.x)/2, y:(c.y+a.y)/2};
           c3 = c;
           drawTriangle(a3, b3, c3, level);
       }
       paint() ;