Difference between revisions of "Multiple logarithmic spirals"
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| + | Eight logarithmic spirals defined by | ||
| + | |||
| + | :<math>r = ae^{b\theta + k\cdot\pi/4 + \tau}\,.</math> | ||
| + | |||
<jsxgraph width="600" height="600" box="box1"> | <jsxgraph width="600" height="600" box="box1"> | ||
| − | board = JXG.JSXGraph.initBoard('box1', { | + | board = JXG.JSXGraph.initBoard('box1', {boundingbox: [-12, 12, 12, -12]}); |
| − | var a = board. | + | board.suspendUpdate(); |
| − | var b = board. | + | var a = board.create('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'}); |
| + | var b = board.create('slider', [[1,-2],[5,-2],[0,0.7,1]], {name:'b'}); | ||
| + | var tau = board.create('slider', [[-5,-3],[5,-3],[0,0,0.5]], {name:'τ'}); | ||
for (var i=0;i<8;i++) { | for (var i=0;i<8;i++) { | ||
| − | (function(x) { return board. | + | (function(x) { return board.create('curve', [function(phi){return a.Value()*Math.exp(b.Value()*(phi+Math.PI*x*0.25+tau.Value()*Math.PI)); }, [0, 0], -4*Math.PI, 8*Math.PI], |
| − | {curveType:'polar', strokewidth: | + | {curveType:'polar', strokewidth:1}); |
})(i); | })(i); | ||
} | } | ||
| + | board.unsuspendUpdate(); | ||
</jsxgraph> | </jsxgraph> | ||
| + | <source lang="javascript"> | ||
| + | board = JXG.JSXGraph.initBoard('box1', {boundingbox: [-12, 12, 12, -12]}); | ||
| + | var a = board.create('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'}); | ||
| + | var b = board.create('slider', [[1,-2],[5,-2],[0,0.7,1]], {name:'b'}); | ||
| + | var tau = board.create('slider', [[-5,-3],[5,-3],[0,0,2]], {name:'τ'}); | ||
| + | for (var i=0;i<8;i++) { | ||
| + | (function(x) { return board.create('curve', [function(phi){return a.Value()*Math.exp(b.Value()*(phi+Math.PI*x*0.25+tau.Value()*Math.PI)); }, [0, 0], -4*Math.PI, 8*Math.PI], | ||
| + | {curveType:'polar', strokewidth:1}); | ||
| + | })(i); | ||
| + | } | ||
| + | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Curves]] | [[Category:Curves]] | ||
Latest revision as of 10:49, 8 June 2011
Eight logarithmic spirals defined by
- [math]r = ae^{b\theta + k\cdot\pi/4 + \tau}\,.[/math]
board = JXG.JSXGraph.initBoard('box1', {boundingbox: [-12, 12, 12, -12]});
var a = board.create('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'});
var b = board.create('slider', [[1,-2],[5,-2],[0,0.7,1]], {name:'b'});
var tau = board.create('slider', [[-5,-3],[5,-3],[0,0,2]], {name:'τ'});
for (var i=0;i<8;i++) {
(function(x) { return board.create('curve', [function(phi){return a.Value()*Math.exp(b.Value()*(phi+Math.PI*x*0.25+tau.Value()*Math.PI)); }, [0, 0], -4*Math.PI, 8*Math.PI],
{curveType:'polar', strokewidth:1});
})(i);
}
