P-Norm

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The underlying JavaScript code

var brd = JXG.JSXGraph.initBoard('jxgbox', {axis:true, boundingbox:[-5,5,5,-5]});
var pNorm = brd.create('slider', [[0,4],[3,4],[0,2,10]], {name:'p'});
var m = brd.create('point',[0,0], {name:'M'});
graph = brd.create('curve', [
   function(t){
      var p = pNorm.Value();
      return 2.0/Math.pow(Math.pow(Math.abs(Math.cos(t)),p)+
                Math.pow(Math.abs(Math.sin(t)),p),1.0/p);
   },
   [function(){ return m.X();}, function(){ return m.Y();}], 
   0, Math.PI*2], 
   {curveType:'polar',strokeColor:'red', strokeWidth:2}
   );