Reuleaux pentagon: Difference between revisions
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<source lang="javascript"> | <source lang="javascript"> | ||
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,7,5,-3]}); | var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,7,5,-3]}); | ||
brd.renderer.container.style.backgroundColor = '#3d1c24'; // background color board | |||
brd.suspendUpdate(); | brd.suspendUpdate(); | ||
// Pentagon | // Pentagon | ||
Line 63: | Line 65: | ||
var B = brd.create('point',[2,-2]); | var B = brd.create('point',[2,-2]); | ||
var pol5 = brd.create('regularpolygon',[A,B,5], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0}); | var pol5 = brd.create('regularpolygon',[A,B,5], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0}); | ||
for (var i=0;i<5;i++) pol5.vertices[i].setProperty({color:'#3d1c24'}); | |||
// Triangle | // Triangle | ||
var C = brd.create('point',[-2,-2]); | var C = brd.create('point',[-2,-2]); | ||
var D = brd.create('point',[C.X()+3/5*(1+Math.sqrt(5))*0.5*A.Dist(B), C.Y()]); | var D = brd.create('point',[C.X()+3/5*(1+Math.sqrt(5))*0.5*A.Dist(B), C.Y()]); | ||
var pol3 = brd.create('regularpolygon',[C,D,3], {withLines:false, fillColor:' | var pol3 = brd.create('regularpolygon',[C,D,3], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0}); | ||
for (i=0;i<3;i++) pol3.vertices[i].setProperty({color:'#3d1c24'}); | |||
// Heptagon | // Heptagon | ||
var E = brd.create('point',[-2,-2]); | var E = brd.create('point',[-2,-2]); | ||
var F = brd.create('point',[E.X()+7/5*A.Dist(pol5.vertices[2]), E.Y()]); | var F = brd.create('point',[E.X()+7/5*A.Dist(pol5.vertices[2]), E.Y()]); | ||
var pol7 = brd.create('regularpolygon',[E,F,7], {withLines:false, fillColor:' | var pol7 = brd.create('regularpolygon',[E,F,7], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0}); | ||
for (i=0;i<7;i++) pol7.vertices[i].setProperty({color:'#3d1c24'}); | |||
// Create the Reuleauc curves | |||
var reuleauxHeptagon = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol7.vertices, 7), | var reuleauxHeptagon = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol7.vertices, 7), | ||
{ | {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'}); | ||
var reuleauxPentagon = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol5.vertices, 5), | var reuleauxPentagon = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol5.vertices, 5), | ||
{ | {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'}); | ||
var reuleauxTriangle = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol3.vertices, 3), | var reuleauxTriangle = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol3.vertices, 3), | ||
{ | {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#703545', highlightFillColor:'#703545'}); | ||
brd.unsuspendUpdate(); | brd.unsuspendUpdate(); | ||
var rol5 = JXG.Math.Numerics.createRoulette(reuleauxHeptagon, reuleauxPentagon, 6*Math.PI/5, Math.PI/90, -1, 10, [A,B,C,D]); | |||
var rol3 = JXG.Math.Numerics.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/90, 1, 10, [C,D])(); | var rol3 = JXG.Math.Numerics.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/90, 1, 10, [C,D]); | ||
var letItRoll = function() { | |||
rol5.rolling(); | |||
rol3.rolling(); | |||
}; | |||
var interval; | |||
var start = function() { | |||
interval = setInterval(letItRoll,10); | |||
}; | |||
var stop = function() { | |||
clearInterval(interval); | |||
} | |||
</source> | </source> | ||
Revision as of 20:05, 3 October 2010
The underlying JavaScript code
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,7,5,-3]});
brd.renderer.container.style.backgroundColor = '#3d1c24'; // background color board
brd.suspendUpdate();
// Pentagon
var A = brd.create('point',[-2,-2]);
var B = brd.create('point',[2,-2]);
var pol5 = brd.create('regularpolygon',[A,B,5], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
for (var i=0;i<5;i++) pol5.vertices[i].setProperty({color:'#3d1c24'});
// Triangle
var C = brd.create('point',[-2,-2]);
var D = brd.create('point',[C.X()+3/5*(1+Math.sqrt(5))*0.5*A.Dist(B), C.Y()]);
var pol3 = brd.create('regularpolygon',[C,D,3], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
for (i=0;i<3;i++) pol3.vertices[i].setProperty({color:'#3d1c24'});
// Heptagon
var E = brd.create('point',[-2,-2]);
var F = brd.create('point',[E.X()+7/5*A.Dist(pol5.vertices[2]), E.Y()]);
var pol7 = brd.create('regularpolygon',[E,F,7], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
for (i=0;i<7;i++) pol7.vertices[i].setProperty({color:'#3d1c24'});
// Create the Reuleauc curves
var reuleauxHeptagon = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol7.vertices, 7),
{strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
var reuleauxPentagon = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol5.vertices, 5),
{strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
var reuleauxTriangle = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol3.vertices, 3),
{strokeWidth:6, strokeColor:'#d66d55', fillColor:'#703545', highlightFillColor:'#703545'});
brd.unsuspendUpdate();
var rol5 = JXG.Math.Numerics.createRoulette(reuleauxHeptagon, reuleauxPentagon, 6*Math.PI/5, Math.PI/90, -1, 10, [A,B,C,D]);
var rol3 = JXG.Math.Numerics.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/90, 1, 10, [C,D]);
var letItRoll = function() {
rol5.rolling();
rol3.rolling();
};
var interval;
var start = function() {
interval = setInterval(letItRoll,10);
};
var stop = function() {
clearInterval(interval);
}