Difference between revisions of "Rolling Reuleaux triangle"

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(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
<jsxgraph width="0" height="0" box="nix"></jsxgraph>
 
 
<html>
 
<html>
<script type="text/javascript" src="/~alfred/jsxgraph/trunk/src/Roulette.js"></script>
 
 
<form>
 
<form>
 
<input type="button" value="start" onclick="rol3.start();">
 
<input type="button" value="start" onclick="rol3.start();">
Line 21: Line 19:
 
var line = brd.create('curve',[function(t){return t;}, function(t){return -2;}],  
 
var line = brd.create('curve',[function(t){return t;}, function(t){return -2;}],  
 
                 {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
 
                 {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
var reuleauxTriangle = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol3.vertices, 3),  
+
var reuleauxTriangle = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol3.vertices, 3),  
 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
 
var S = brd.create('point', [
 
var S = brd.create('point', [
Line 29: Line 27:
  
 
brd.unsuspendUpdate();
 
brd.unsuspendUpdate();
 
+
var rol3 = brd.createRoulette(line, reuleauxTriangle, -2, Math.PI/45, 1, 100, [A,B]);  
 
 
var rol3 = JXG.Math.Numerics.createRoulette(line, reuleauxTriangle, -2, Math.PI/90, 1, 50, [A,B]);  
 
 
</jsxgraph>
 
</jsxgraph>
  
 
===The underlying JavaScript code===
 
===The underlying JavaScript code===
 
<source lang="javascript">
 
<source lang="javascript">
 +
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-2,7,20,-3], keepaspectratio:true});
 +
brd.renderer.container.style.backgroundColor = '#3d1c24';          // background color board
 +
 +
brd.suspendUpdate();
 +
// Triangle
 +
var A = brd.create('point',[-2,-2]);
 +
var B = brd.create('point',[0,0]);
 +
var pol3 = brd.create('regularpolygon',[A,B,3], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
 +
for (var i=0;i<3;i++) pol3.vertices[i].setProperty({color:'#3d1c24'});
 +
 +
var line = brd.create('curve',[function(t){return t;}, function(t){return -2;}],
 +
                {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
 +
var reuleauxTriangle = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol3.vertices, 3),
 +
      {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
 +
var S = brd.create('point', [
 +
            function(){return (pol3.vertices[0].X()+pol3.vertices[1].X()+pol3.vertices[2].X())/3; },
 +
            function(){return (pol3.vertices[0].Y()+pol3.vertices[1].Y()+pol3.vertices[2].Y())/3; }],
 +
            {strokeColor:'#703545', fillColor:'#703545', highlightFillColor:'#703545', name:'S', trace:true});
 +
 +
brd.unsuspendUpdate();
 +
var rol3 = brd.createRoulette(line, reuleauxTriangle, -2, Math.PI/90, 1, 50, [A,B]);
 
</source>
 
</source>
  

Latest revision as of 17:53, 20 February 2013

The underlying JavaScript code

var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-2,7,20,-3], keepaspectratio:true});
brd.renderer.container.style.backgroundColor = '#3d1c24';          // background color board

brd.suspendUpdate();
// Triangle
var A = brd.create('point',[-2,-2]);
var B = brd.create('point',[0,0]);
var pol3 = brd.create('regularpolygon',[A,B,3], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
for (var i=0;i<3;i++) pol3.vertices[i].setProperty({color:'#3d1c24'});

var line = brd.create('curve',[function(t){return t;}, function(t){return -2;}], 
                {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
var reuleauxTriangle = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol3.vertices, 3), 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
var S = brd.create('point', [
            function(){return (pol3.vertices[0].X()+pol3.vertices[1].X()+pol3.vertices[2].X())/3; },
            function(){return (pol3.vertices[0].Y()+pol3.vertices[1].Y()+pol3.vertices[2].Y())/3; }],
            {strokeColor:'#703545', fillColor:'#703545', highlightFillColor:'#703545', name:'S', trace:true});

brd.unsuspendUpdate();
var rol3 = brd.createRoulette(line, reuleauxTriangle, -2, Math.PI/90, 1, 50, [A,B]);