Difference between revisions of "Multiple logarithmic spirals"
From JSXGraph Wiki
Jump to navigationJump to searchA WASSERMANN (talk | contribs) |
A WASSERMANN (talk | contribs) |
||
| Line 8: | Line 8: | ||
var a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'}); | var a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'}); | ||
var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.7,1]], {name:'b'}); | var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.7,1]], {name:'b'}); | ||
| − | var tau = board.createElement('slider', [[-5,-3],[5,-3],[0,0,0. | + | var tau = board.createElement('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.createElement('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], | (function(x) { return board.createElement('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], | ||
Revision as of 16:15, 25 April 2009
Eight logarithmic spirals defined by
- [math]r = ae^{b\theta + k\cdot\pi/4 + \tau}\,.[/math]
board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 300, unitX: 25, unitY: 25});
var a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'});
var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.7,1]], {name:'b'});
var tau = board.createElement('slider', [[-5,-3],[5,-3],[0,0,2]], {name:'τ'});
for (var i=0;i<8;i++) {
(function(x) { return board.createElement('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);
}
