Reuleaux pentagon: Difference between revisions
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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'}); | for (var i=0;i<5;i++) pol5.vertices[i].setProperty({color:'#3d1c24'}); | ||
var diagPentagon = (1+Math.sqrt(5))*0.5*A.Dist(B); | |||
// 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* | var D = brd.create('point',[C.X()+3/5*diagPentagon, C.Y()]); | ||
var pol3 = brd.create('regularpolygon',[C,D,3], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0}); | 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'}); | for (i=0;i<3;i++) pol3.vertices[i].setProperty({color:'#3d1c24'}); | ||
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// Heptagon | // Heptagon | ||
var E = brd.create('point',[-2,-2]); | var E = brd.create('point',[-2,-2]); | ||
var F = brd.create('point',[E.X()+ | |||
// | |||
// Side length of the heptagon depending on the diagonal of the pentagon: | |||
// r_7 = 7/5*r_5 | |||
var diagHeptagon = 7/5*diagPentagon; | |||
// s_7 = r_7*sqrt(2)*sqrt(1-cos(pi/7)) (law of cosines) | |||
var sideHeptagon = Math.sqrt(2*(1-Math.cos(Math.PI/7)))*diagHeptagon; | |||
// | |||
var F = brd.create('point',[E.X()+sideHeptagon, E.Y()]); | |||
var pol7 = brd.create('regularpolygon',[E,F,7], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0}); | 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'}); | for (i=0;i<7;i++) pol7.vertices[i].setProperty({color:'#3d1c24'}); | ||
Line 99: | Line 109: | ||
brd.unsuspendUpdate(); | brd.unsuspendUpdate(); | ||
var rol5 = JXG.Math.Numerics.createRoulette(reuleauxHeptagon, reuleauxPentagon, 6*Math.PI/5, Math.PI/ | var rol5 = JXG.Math.Numerics.createRoulette(reuleauxHeptagon, reuleauxPentagon, 6*Math.PI/5, Math.PI/45, 1, 50, [A,B,C,D]); | ||
var rol3 = JXG.Math.Numerics.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/ | var rol3 = JXG.Math.Numerics.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/45, -1, 50, [C,D]); | ||
var rollIt = function() { | |||
var | rol5.rolling(); | ||
rol3.rolling(); | |||
}; | }; | ||
var interval; | var interval; | ||
var start = function() { | var start = function() { | ||
interval = setInterval( | interval = setInterval(rollIt,10); | ||
}; | }; | ||
var stop = function() { | var stop = function() { |
Revision as of 19:45, 6 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'});
var diagPentagon = (1+Math.sqrt(5))*0.5*A.Dist(B);
// Triangle
var C = brd.create('point',[-2,-2]);
var D = brd.create('point',[C.X()+3/5*diagPentagon, 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]);
//
// Side length of the heptagon depending on the diagonal of the pentagon:
// r_7 = 7/5*r_5
var diagHeptagon = 7/5*diagPentagon;
// s_7 = r_7*sqrt(2)*sqrt(1-cos(pi/7)) (law of cosines)
var sideHeptagon = Math.sqrt(2*(1-Math.cos(Math.PI/7)))*diagHeptagon;
//
var F = brd.create('point',[E.X()+sideHeptagon, 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/45, 1, 50, [A,B,C,D]);
var rol3 = JXG.Math.Numerics.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/45, -1, 50, [C,D]);
var rollIt = function() {
rol5.rolling();
rol3.rolling();
};
var interval;
var start = function() {
interval = setInterval(rollIt,10);
};
var stop = function() {
clearInterval(interval);
}