Multiple logarithmic spirals: Difference between revisions
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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 09:49, 8 June 2011
Eight logarithmic spirals defined by
- [math]\displaystyle{ 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);
}
