Difference between revisions of "Lissajous curves"
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Lissajous curve (Lissajous figure or Bowditch curve) is the graph of the system of parametric equations | Lissajous curve (Lissajous figure or Bowditch curve) is the graph of the system of parametric equations | ||
| − | :<math>x=A\sin(at+\delta),\quad y=B\sin(bt) | + | :<math>x=A\sin(at+\delta),\quad y=B\sin(bt).</math> |
<jsxgraph board="brd" width="600" height="500"> | <jsxgraph board="brd" width="600" height="500"> | ||
| − | var brd = JXG.JSXGraph.initBoard('jxgbox',{axis:true, | + | var brd = JXG.JSXGraph.initBoard('jxgbox',{axis:true, boundingbox: [-12, 10, 12, -10]}); |
| − | var a = brd. | + | brd.suspendUpdate(); |
| − | var b = brd. | + | var a = brd.create('slider',[[2,8],[6,8],[0,3,6]],{name:'a'}); |
| − | var A = brd. | + | var b = brd.create('slider',[[2,7],[6,7],[0,2,6]],{name:'b'}); |
| − | var B = brd. | + | var A = brd.create('slider',[[2,6],[6,6],[0,3,6]],{name:'A'}); |
| − | var delta = brd. | + | var B = brd.create('slider',[[2,5],[6,5],[0,3,6]],{name:'B'}); |
| + | var delta = brd.create('slider',[[2,4],[6,4],[0,0,Math.PI]],{name:'δ'}); | ||
| − | var c = brd. | + | var c = brd.create('curve',[ |
function(t){return A.Value()*Math.sin(a.Value()*t+delta.Value());}, | function(t){return A.Value()*Math.sin(a.Value()*t+delta.Value());}, | ||
function(t){return B.Value()*Math.sin(b.Value()*t);}, | function(t){return B.Value()*Math.sin(b.Value()*t);}, | ||
| − | 0, 2*Math.PI]); | + | 0, 2*Math.PI],{strokeColor:'#aa2233',strokeWidth:3}); |
| + | brd.unsuspendUpdate(); | ||
</jsxgraph> | </jsxgraph> | ||
| + | |||
| + | <source lang="javascript"> | ||
| + | var brd = JXG.JSXGraph.initBoard('jxgbox',{axis:true,boundingbox: [-12, 10, 12, -10]}); | ||
| + | brd.suspendUpdate(); | ||
| + | var a = brd.create('slider',[[2,8],[6,8],[0,3,6]],{name:'a'}); | ||
| + | var b = brd.create('slider',[[2,7],[6,7],[0,2,6]],{name:'b'}); | ||
| + | var A = brd.create('slider',[[2,6],[6,6],[0,3,6]],{name:'A'}); | ||
| + | var B = brd.create('slider',[[2,5],[6,5],[0,3,6]],{name:'B'}); | ||
| + | var delta = brd.create('slider',[[2,4],[6,4],[0,0,Math.PI]],{name:'δ'}); | ||
| + | |||
| + | var c = brd.create('curve',[ | ||
| + | function(t){return A.Value()*Math.sin(a.Value()*t+delta.Value());}, | ||
| + | function(t){return B.Value()*Math.sin(b.Value()*t);}, | ||
| + | 0, 2*Math.PI],{strokeColor:'#aa2233',strokeWidth:3}); | ||
| + | brd.unsuspendUpdate(); | ||
| + | </source> | ||
| + | |||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Curves]] | [[Category:Curves]] | ||
Latest revision as of 10:32, 8 June 2011
Lissajous curve (Lissajous figure or Bowditch curve) is the graph of the system of parametric equations
- [math]x=A\sin(at+\delta),\quad y=B\sin(bt).[/math]
var brd = JXG.JSXGraph.initBoard('jxgbox',{axis:true,boundingbox: [-12, 10, 12, -10]});
brd.suspendUpdate();
var a = brd.create('slider',[[2,8],[6,8],[0,3,6]],{name:'a'});
var b = brd.create('slider',[[2,7],[6,7],[0,2,6]],{name:'b'});
var A = brd.create('slider',[[2,6],[6,6],[0,3,6]],{name:'A'});
var B = brd.create('slider',[[2,5],[6,5],[0,3,6]],{name:'B'});
var delta = brd.create('slider',[[2,4],[6,4],[0,0,Math.PI]],{name:'δ'});
var c = brd.create('curve',[
function(t){return A.Value()*Math.sin(a.Value()*t+delta.Value());},
function(t){return B.Value()*Math.sin(b.Value()*t);},
0, 2*Math.PI],{strokeColor:'#aa2233',strokeWidth:3});
brd.unsuspendUpdate();
