Difference between revisions of "Spirograph"

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<jsxgraph width="600" height="600">
 
<jsxgraph width="600" height="600">
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5], kkeepaspectratio:true});
+
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5], keepaspectratio:true});
 +
var R = 2.0;
 +
var r = brd.create('slider',[[-3,4],[3,4],[-5,1,5]],{name:'r'});
 +
var a = brd.create('slider',[[-3,3],[3,3],[-5,1,5]],{name:'a'});
 +
 
 +
var c = brd.create('curve',[
 +
    function(t){
 +
        var r1 = Math.round(100.0*r.Value())/100.0;
 +
        var a1 = Math.round(100.0*a.Value())/100.0;
 +
        return (R-r1)*Math.cos(r1/R*t)+a1*Math.cos((1-r1/R)*t);
 +
    },
 +
    function(t){
 +
        var r1 = Math.round(100.0*r.Value())/100.0;
 +
        var a1 = Math.round(100.0*a.Value())/100.0;
 +
        return (R-r1)*Math.sin(r1/R*t)+a1*Math.sin((1-r1/R)*t);
 +
    },
 +
    -40*Math.PI,40*Math.PI
 +
    ], {strokeWidth:3, strokeColor:'#3355ff', strokeOpacity:0.7});
 
</jsxgraph>
 
</jsxgraph>
 +
 +
===The underlying JavaScript code===
 +
<source lang="javascript">
 +
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5], keepaspectratio:true});
 +
var R = 2.0;
 +
var r = brd.create('slider',[[-3,4],[3,4],[-5,1,5]],{name:'r'});
 +
var a = brd.create('slider',[[-3,3],[3,3],[-5,1,5]],{name:'a'});
 +
 +
var c = brd.create('curve',[
 +
    function(t){
 +
        var r1 = Math.round(100.0*r.Value())/100.0;
 +
        var a1 = Math.round(100.0*a.Value())/100.0;
 +
        return (R-r1)*Math.cos(r1/R*t)+a1*Math.cos((1-r1/R)*t);
 +
    },
 +
    function(t){
 +
        var r1 = Math.round(100.0*r.Value())/100.0;
 +
        var a1 = Math.round(100.0*a.Value())/100.0;
 +
        return (R-r1)*Math.sin(r1/R*t)+a1*Math.sin((1-r1/R)*t);
 +
    },
 +
    -40*Math.PI,40*Math.PI
 +
    ], {strokeWidth:3, strokeColor:'#3355ff', strokeOpacity:0.7});
 +
</source>
 +
 +
[[Category:Examples]]
 +
[[Category:Curves]]

Latest revision as of 21:39, 19 July 2010

The underlying JavaScript code

var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5], keepaspectratio:true});
var R = 2.0;
var r = brd.create('slider',[[-3,4],[3,4],[-5,1,5]],{name:'r'});
var a = brd.create('slider',[[-3,3],[3,3],[-5,1,5]],{name:'a'});

var c = brd.create('curve',[
     function(t){ 
        var r1 = Math.round(100.0*r.Value())/100.0; 
        var a1 = Math.round(100.0*a.Value())/100.0; 
        return (R-r1)*Math.cos(r1/R*t)+a1*Math.cos((1-r1/R)*t); 
     },
     function(t){ 
        var r1 = Math.round(100.0*r.Value())/100.0; 
        var a1 = Math.round(100.0*a.Value())/100.0; 
        return (R-r1)*Math.sin(r1/R*t)+a1*Math.sin((1-r1/R)*t); 
     }, 
     -40*Math.PI,40*Math.PI
     ], {strokeWidth:3, strokeColor:'#3355ff', strokeOpacity:0.7});