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- <!doctype html>
- <html lang="en">
- <head>
- <title>three.js webgl - geometry - shapes</title>
- <meta charset="utf-8">
- <meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
- <style>
- body {
- font-family: Monospace;
- background-color: #f0f0f0;
- margin: 0px;
- overflow: hidden;
- }
- </style>
- </head>
- <body>
- <canvas id="debug" style="position:absolute; left:100px"></canvas>
- <script src="../build/Three.js"></script>
- <script src="../src/extras/core/Curve.js"></script>
- <script src="../src/extras/geometries/TubeGeometry.js"></script>
- <script src="js/Stats.js"></script>
- <script>
- // Lets define some curves
- // Formula from http://mathworld.wolfram.com/HeartCurve.html
- THREE.HeartCurve = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 5 : s;
- },
- function ( t ) {
- t *= 2 * Math.PI;
- var tx = 16 * Math.pow( Math.sin( t ), 3 );
- var ty = 13 * Math.cos( t )
- - 5 * Math.cos( 2 * t )
- - 2 * Math.cos( 3 * t )
- - Math.cos( 4 * t );
- var tz = 0;
- return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
- }
- );
- // Viviani's Curve
- // http://en.wikipedia.org/wiki/Viviani%27s_curve
- THREE.VivianiCurve = THREE.Curve.create(
- function ( radius ) {
- this.radius = radius;
- },
- function ( t ) {
- t = t * 4 * Math.PI; // Normalized to 0..1
- var a = this.radius / 2;
- var tx = a * ( 1 + Math.cos( t ) );
- var ty = a * Math.sin( t );
- var tz = 2 * a * Math.sin( t / 2 );
- return new THREE.Vector3( tx, ty, tz );
- }
- );
- THREE.KnotCurve = THREE.Curve.create(
- function () {
- },
- function ( t ) {
- t *= 2 * Math.PI;
- var R = 10;
- var s = 50;
- var tx = s * Math.sin( t );
- var ty = Math.cos( t ) * ( R + s * Math.cos( t ) );
- var tz = Math.sin( t ) * ( R + s * Math.cos( t ) );
- return new THREE.Vector3( tx, ty, tz );
- }
- );
- THREE.HelixCurve = THREE.Curve.create(
- function () {
- },
- function ( t ) {
- var a = 30; // radius
- var b = 150; //height
- var t2 = 2 * Math.PI * t * b / 30;
- var tx = Math.cos( t2 ) * a;
- var ty = Math.sin( t2 ) * a;
- var tz = b * t;
- return new THREE.Vector3( tx, ty, tz );
- }
- );
- // Replacement for TorusKnotGeometry?
- THREE.TrefoilKnot = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 10 : s;
- },
- function ( t ) {
- t *= Math.PI * 2;
- var tx = ( 2 + Math.cos( 3 * t ) ) * Math.cos( 2 * t );
- var ty = ( 2 + Math.cos( 3 * t ) ) * Math.sin( 2 * t );
- var tz = Math.sin( 3 * t );
- return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
- }
- );
- // Formulas from http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page6.html
- THREE.TorusKnot = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 10 : s;
- },
- function ( t ) {
- t *= Math.PI * 2;
- var p = 3, q = 4;
- var tx = ( 2 + Math.cos( q * t ) ) * Math.cos( p * t );
- var ty = ( 2 + Math.cos( q * t ) ) * Math.sin( p * t );
- var tz = Math.sin( q * t );
- return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
- }
- );
- THREE.CinquefoilKnot = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 10 : s;
- },
- function ( t ) {
- t *= Math.PI * 2;
- var p = 2, q = 5;
- var tx = ( 2 + Math.cos( q * t ) ) * Math.cos( p * t );
- var ty = ( 2 + Math.cos( q * t ) ) * Math.sin( p * t );
- var tz = Math.sin( q * t );
- return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
- }
- );
- THREE.TrefoilPolynomialKnot = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 10 : s;
- },
- function ( t ) {
- t = t * 4 - 2;
- var tx = Math.pow( t, 3 ) - 3 * t;
- var ty = Math.pow( t, 4 ) - 4 * t * t;
- var tz = 1/ 5 * Math.pow( t, 5 ) - 2 * t;
- return new THREE.Vector3(tx, ty, tz).multiplyScalar(this.scale);
- }
- );
- var sin = Math.sin, pow = Math.pow, cos = Math.cos;
- var scale = function ( x, y, t ) {
- var r = y - x;
- return t * r + x;
- }
- THREE.FigureEightPolynomialKnot = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 1 : s;
- },
- function ( t ) {
- t = scale( -4, 4, t );
- var tx = 2 / 5 * t * ( t * t - 7 ) * ( t * t - 10 );
- var ty = pow( t, 4 ) - 13 * t * t;
- var tz = 1 / 10 * t * ( t * t - 4 ) * ( t * t - 9 ) * ( t * t - 12 );
- return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
- }
- );
- // When there's time, try more formulas at http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page4.html
- //http://www.mi.sanu.ac.rs/vismath/taylorapril2011/Taylor.pdf
- THREE.DecoratedTorusKnot4a = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 40 : s;
- },
- function ( t ) {
- t *= Math.PI * 2;
- var x = cos( 2 * t ) * ( 1 + 0.6 * ( cos( 5 * t ) + 0.75 * cos( 10 * t ) ) );
- var y = sin( 2 * t ) * ( 1 + 0.6 * ( cos( 5 * t ) + 0.75 * cos( 10 * t ) ) );
- var z = 0.35 * sin( 5 * t );
- return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
- }
- );
- THREE.DecoratedTorusKnot4b = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 40 : s;
- },
- function ( t ) {
- var fi = t * Math.PI * 2;
- var x = cos( 2 * fi ) * ( 1 + 0.45 * cos( 3 * fi ) + 0.4 * cos( 9 * fi ) );
- var y = sin( 2 * fi ) * ( 1 + 0.45 * cos( 3 * fi ) + 0.4 * cos( 9 * fi ) );
- var z = 0.2 * sin( 9 * fi );
- return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
- }
- );
- THREE.DecoratedTorusKnot5a = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 40 : s;
- },
- function ( t ) {
- var fi = t * Math.PI * 2;
- var x = cos( 3 * fi ) * ( 1 + 0.3 * cos( 5 * fi ) + 0.5 * cos( 10 * fi ) );
- var y = sin( 3 * fi ) * ( 1 + 0.3 * cos( 5 * fi ) + 0.5 * cos( 10 * fi ) );
- var z = 0.2 * sin( 20 * fi );
- return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
- }
- );
- THREE.DecoratedTorusKnot5c = THREE.Curve.create(
- function ( s ) {
- this.scale = ( s === undefined ) ? 40 : s;
- },
- function ( t ) {
- var fi = t * Math.PI * 2;
- var x = cos( 4 * fi ) * ( 1 + 0.5 * ( cos( 5 * fi ) + 0.4 * cos( 20 * fi ) ) );
- var y = sin( 4 * fi ) * ( 1 + 0.5 * ( cos( 5 * fi ) + 0.4 * cos( 20 * fi ) ) );
- var z = 0.35 * sin( 15 * fi );
- return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
- }
- );
- //
- var container, stats;
- var camera, scene, renderer;
- var text, plane;
- var targetRotation = 0;
- var targetRotationOnMouseDown = 0;
- var mouseX = 0;
- var mouseXOnMouseDown = 0;
- var windowHalfX = window.innerWidth / 2;
- var windowHalfY = window.innerHeight / 2;
- init();
- animate();
- function init() {
- container = document.createElement('div');
- document.body.appendChild(container);
- var info = document.createElement('div');
- info.style.position = 'absolute';
- info.style.top = '10px';
- info.style.width = '100%';
- info.style.textAlign = 'center';
- info.innerHTML = 'Simple procedurally generated 3D shapes example by <a href="http://www.lab4games.net/zz85/blog">zz85</a><br>Drag to spin';
- container.appendChild(info);
- scene = new THREE.Scene();
- camera = new THREE.PerspectiveCamera(50, window.innerWidth / window.innerHeight, 1, 1000);
- camera.position.set(0, 50, 500);
- scene.add(camera);
- var light = new THREE.DirectionalLight(0xffffff);
- light.position.set(0, 0, 1);
- scene.add(light);
- parent = new THREE.Object3D();
- parent.position.y = 100;
- scene.add(parent);
- function addGeometry(geometry, color, x, y, z, rx, ry, rz, s) {
- // 3d shape
- var mesh = THREE.SceneUtils.createMultiMaterialObject( geometry, [
- new THREE.MeshLambertMaterial( { color: color, opacity: 0.2, transparent: true } ),
- new THREE.MeshBasicMaterial( { color: 0x000000, opacity: 0.3, wireframe: true } )
- ] );
- if ( geometry.debug ) mesh.add( geometry.debug );
- mesh.position.set( x, y, z - 75 );
- mesh.rotation.set( rx, ry, rz );
- mesh.scale.set(s, s, s);
- //mesh.children[0].doubleSided = true;
- parent.add( mesh );
- }
- // var extrudePath = new THREE.SplineCurve3([
- // new THREE.Vector3(0, 10, -10), new THREE.Vector3(10, 0, -10), new THREE.Vector3(20, 0, 0), new THREE.Vector3(30, 0, 10), new THREE.Vector3(30, 0, 20), new THREE.Vector3(20, 0, 30), new THREE.Vector3(10, 0, 30), new THREE.Vector3(0, 0, 30), new THREE.Vector3(-10, 10, 30), new THREE.Vector3(-10, 20, 30), new THREE.Vector3(0, 30, 30), new THREE.Vector3(10, 30, 30), new THREE.Vector3(20, 30, 15), new THREE.Vector3(10, 30, 10),
- // new THREE.Vector3(0, 30, 10), new THREE.Vector3(-10, 20, 10), new THREE.Vector3(-10, 10, 10), new THREE.Vector3(0, 0, 10), new THREE.Vector3(10, -10, 10), new THREE.Vector3(20, -15, 10), new THREE.Vector3(30, -15, 10), new THREE.Vector3(40, -15, 10), new THREE.Vector3(50, -15, 10), new THREE.Vector3(60, 0, 10), new THREE.Vector3(70, 0, 0), new THREE.Vector3(80, 0, 0), new THREE.Vector3(90, 0, 0), new THREE.Vector3(100, 0, 0)]);
- // var extrudePath = new THREE.HeartCurve( 3.5 );
- // var extrudePath = new THREE.VivianiCurve( 70 );
- // var extrudePath = new THREE.KnotCurve();
- // extrudePath = new THREE.HelixCurve();
- // var extrudePath = new THREE.ClosedSplineCurve3( [
- // new THREE.Vector3( 0, -40, -40 ),
- // new THREE.Vector3( 0, 40, -40 ),
- // new THREE.Vector3( 0, 140, -40 ),
- // new THREE.Vector3( 0, 40, 40 ),
- // new THREE.Vector3( 0, -40, 40 ),
- // ] );
- extrudePath = new THREE.TrefoilKnot();
- // extrudePath = new THREE.TorusKnot( 20 );
- // extrudePath = new THREE.CinquefoilKnot( 20 );
- // extrudePath = new THREE.TrefoilPolynomialKnot( 14 );
- // extrudePath = new THREE.FigureEightPolynomialKnot();
- // extrudePath = new THREE.DecoratedTorusKnot4a();
- // extrudePath = new THREE.DecoratedTorusKnot4b();
- // extrudePath = new THREE.DecoratedTorusKnot5a();
- // extrudePath = new THREE.DecoratedTorusKnot5c();
- var closed = true;
- var debug = true;
- var tube = new THREE.TubeGeometry( extrudePath, 100, 2, 3, closed, debug );
- addGeometry(tube, 0xff00ff, 0, -80, 0, 0, 0, 0, 6);
- //
- renderer = new THREE.WebGLRenderer( { antialias: true } );
- renderer.setSize( window.innerWidth, window.innerHeight );
- container.appendChild(renderer.domElement);
- stats = new Stats();
- stats.domElement.style.position = 'absolute';
- stats.domElement.style.top = '0px';
- container.appendChild( stats.domElement );
- document.addEventListener( 'mousedown', onDocumentMouseDown, false );
- document.addEventListener( 'touchstart', onDocumentTouchStart, false );
- document.addEventListener( 'touchmove', onDocumentTouchMove, false );
- }
- //
- function onDocumentMouseDown( event ) {
- event.preventDefault();
- document.addEventListener( 'mousemove', onDocumentMouseMove, false );
- document.addEventListener( 'mouseup', onDocumentMouseUp, false );
- document.addEventListener( 'mouseout', onDocumentMouseOut, false );
- mouseXOnMouseDown = event.clientX - windowHalfX;
- targetRotationOnMouseDown = targetRotation;
- }
- function onDocumentMouseMove( event ) {
- mouseX = event.clientX - windowHalfX;
- targetRotation = targetRotationOnMouseDown + ( mouseX - mouseXOnMouseDown ) * 0.02;
- }
- function onDocumentMouseUp( event ) {
- document.removeEventListener( 'mousemove', onDocumentMouseMove, false );
- document.removeEventListener( 'mouseup', onDocumentMouseUp, false );
- document.removeEventListener( 'mouseout', onDocumentMouseOut, false );
- }
- function onDocumentMouseOut( event ) {
- document.removeEventListener( 'mousemove', onDocumentMouseMove, false );
- document.removeEventListener( 'mouseup', onDocumentMouseUp, false );
- document.removeEventListener( 'mouseout', onDocumentMouseOut, false );
- }
- function onDocumentTouchStart( event ) {
- if ( event.touches.length == 1 ) {
- event.preventDefault();
- mouseXOnMouseDown = event.touches[ 0 ].pageX - windowHalfX;
- targetRotationOnMouseDown = targetRotation;
- }
- }
- function onDocumentTouchMove(event) {
- if ( event.touches.length == 1 ) {
- event.preventDefault();
- mouseX = event.touches[ 0 ].pageX - windowHalfX;
- targetRotation = targetRotationOnMouseDown + ( mouseX - mouseXOnMouseDown ) * 0.05;
- }
- }
- //
- function animate() {
- requestAnimationFrame( animate );
- render();
- stats.update();
- }
- function render() {
- parent.rotation.y += ( targetRotation - parent.rotation.y ) * 0.05;
- renderer.render( scene, camera );
- }
- </script>
- </body>
- </html>
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