Multiple logarithmic spirals - Revision history

Michael at 09:49, 8 June 2011

2011-06-08T09:49:56Z

← Older revision		Revision as of 09:49, 8 June 2011
Line 4:		Line 4:

	<jsxgraph width="600" height="600" box="box1">		<jsxgraph width="600" height="600" box="box1">
	board = JXG.JSXGraph.initBoard('box1', {~~originX~~: ~~300~~, ~~originY: 300~~, ~~unitX: 25~~, ~~unitY: 25~~});		board = JXG.JSXGraph.initBoard('box1', {boundingbox: [-12, 12, 12, -12]});
	board.suspendUpdate();		board.suspendUpdate();
	var a = board.~~createElement~~('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'});		var a = board.create('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.create('slider', [[1,-2],[5,-2],[0,0.7,1]], {name:'b'});
	var tau = board.~~createElement~~('slider', [[-5,-3],[5,-3],[0,0,0.5]], {name:'τ'});		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.~~createElement~~('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],		(function(x) { return board.create('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],
	{curveType:'polar', strokewidth:1});		{curveType:'polar', strokewidth:1});
	})(i);		})(i);
Line 17:		Line 17:
	</jsxgraph>		</jsxgraph>

	<source lang="~~xml~~">		<source lang="javascript">
	board = JXG.JSXGraph.initBoard('box1', {~~originX~~: ~~300~~, ~~originY: 300~~, ~~unitX: 25~~, ~~unitY: 25~~});		board = JXG.JSXGraph.initBoard('box1', {boundingbox: [-12, 12, 12, -12]});
	var a = board.~~createElement~~('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'});		var a = board.create('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.create('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'});		var tau = board.create('slider', [[-5,-3],[5,-3],[0,0,2]], {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.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],		(function(x) { return board.create('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],
	{curveType:'polar', strokewidth:1});		{curveType:'polar', strokewidth:1});
	})(i);		})(i);

A WASSERMANN at 14:15, 25 April 2009

2009-04-25T14:15:24Z

← Older revision		Revision as of 14:15, 25 April 2009
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],[0,0,0.25]], {name:'τ'});		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.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],		(function(x) { return board.createElement('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],

A WASSERMANN at 14:14, 25 April 2009

2009-04-25T14:14:43Z

← Older revision		Revision as of 14:14, 25 April 2009
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],[0,0,2]], {name:'τ'});		var tau = board.createElement('slider', [[-5,-3],[5,-3],[0,0,0.25]], {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.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],		(function(x) { return board.createElement('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],

A WASSERMANN at 18:02, 24 April 2009

2009-04-24T18:02:55Z

← Older revision		Revision as of 18:02, 24 April 2009
Line 15:		Line 15:
	}		}
	board.unsuspendUpdate();		board.unsuspendUpdate();
	~~tau.startAnimation(10,40);~~
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 18:01, 24 April 2009

2009-04-24T18:01:39Z

← Older revision		Revision as of 18:01, 24 April 2009
Line 5:		Line 5:
	<jsxgraph width="600" height="600" box="box1">		<jsxgraph width="600" height="600" box="box1">
	board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 300, unitX: 25, unitY: 25});		board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 300, unitX: 25, unitY: 25});
			board.suspendUpdate();
	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'});
Line 13:		Line 14:
	})(i);		})(i);
	}		}
			board.unsuspendUpdate();
			tau.startAnimation(10,40);
	</jsxgraph>		</jsxgraph>

A WASSERMANN at 17:56, 24 April 2009

2009-04-24T17:56:17Z

← Older revision		Revision as of 17:56, 24 April 2009
Line 1:		Line 1:
	Eight logarithmic spirals defined by		Eight logarithmic spirals defined by

	:<math>r = ae^{b\theta + \pi/4*k + \tau}\,.</math>		:<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">
Line 7:		Line 7:
	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', [[1,-3],[5,-3],[0,0,2]], {name:'τ'});		var tau = board.createElement('slider', [[-5,-3],[5,-3],[0,0,2]], {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.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],		(function(x) { return board.createElement('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],
Line 19:		Line 19:
	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', [[1,-3],[5,-3],[0,0,2]], {name:'τ'});		var tau = board.createElement('slider', [[-5,-3],[5,-3],[0,0,2]], {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.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],		(function(x) { return board.createElement('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],

A WASSERMANN at 17:55, 24 April 2009

2009-04-24T17:55:27Z

← Older revision		Revision as of 17:55, 24 April 2009
Line 1:		Line 1:
			Eight logarithmic spirals defined by

			:<math>r = ae^{b\theta + \pi/4*k + \tau}\,.</math>

	<jsxgraph width="600" height="600" box="box1">		<jsxgraph width="600" height="600" box="box1">
	board = JXG.JSXGraph.initBoard('box1', {originX: 300, originY: 300, unitX: 25, unitY: 25});		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 a = board.createElement('slider', [[1,-1],[5,-1],[0,0.3,1]], {name:'a'});
	var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]], {name:'b'});		var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.7,1]], {name:'b'});
	var tau = board.createElement('slider', [[1,-3],[5,-3],[0,0,2]], {name:'τ'});		var tau = board.createElement('slider', [[1,-3],[5,-3],[0,0,2]], {name:'τ'});
	for (var i=0;i<8;i++) {		for (var i=0;i<8;i++) {
Line 11:		Line 15:
	</jsxgraph>		</jsxgraph>

			<source lang="xml">
			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', [[1,-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.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],
			{curveType:'polar', strokewidth:1});
			})(i);
			}
			</source>

	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Curves]]		[[Category:Curves]]

A WASSERMANN at 17:51, 24 April 2009

2009-04-24T17:51:36Z

← Older revision		Revision as of 17:51, 24 April 2009
Line 3:		Line 3:
	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],[0,0.15,1]], {name:'b'});		var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]], {name:'b'});
			var tau = board.createElement('slider', [[1,-3],[5,-3],[0,0,2]], {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.PIx0.25)); }, [0, 0], -4Math.PI, 8Math.PI],		(function(x) { return board.createElement('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25+tau.Value()Math.PI)); }, [0, 0], -4Math.PI, 8*Math.PI],
	{curveType:'polar', strokewidth:4});		{curveType:'polar', strokewidth:1});
	})(i);		})(i);
	}		}

A WASSERMANN at 17:50, 24 April 2009

2009-04-24T17:50:17Z

← Older revision		Revision as of 17:50, 24 April 2009
Line 4:		Line 4:
	var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]], {name:'b'});		var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]], {name:'b'});
	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.PIx0.25)); }, [0, 0], -0Math.PI, 4Math.PI],		(function(x) { return board.createElement('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25)); }, [0, 0], -4Math.PI, 8Math.PI],
	{curveType:'polar', strokewidth:4});		{curveType:'polar', strokewidth:4});
	})(i);		})(i);

A WASSERMANN at 17:49, 24 April 2009

2009-04-24T17:49:51Z

← Older revision		Revision as of 17:49, 24 April 2009
Line 4:		Line 4:
	var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]], {name:'b'});		var b = board.createElement('slider', [[1,-2],[5,-2],[0,0.15,1]], {name:'b'});
	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.PIx0.25); }, [0, 0], -8Math.PI, 4Math.PI],		(function(x) { return board.createElement('curve', [function(phi){return a.Value()Math.exp(b.Value()(phi+Math.PIx0.25)); }, [0, 0], -0Math.PI, 4Math.PI],
	{curveType:'polar', strokewidth:4});		{curveType:'polar', strokewidth:4});
	})(i);		})(i);