Three.js - TorusKnot Geometries

A torus knot is a special kind of knot that looks like a tube that winds around itself a couple of times.You can create a torus-knot using THREE.TorusKnotGeometry. It's pretty similar to TorusGeometry with additional properties, the p and q.

p − It defines how many times the geometry winds around its axis of rotational symmetry. Default is 2.
q − It defines how many times the geometry winds around the interior of the torus. This defaults to 3.

const torusKnot = new THREE.TorusKnotGeometry(
   radius, tubeRadius,
   tubularSegments, radialSegments,
   p, q
)

Example

Check out the following example.

torus-knot.html

Live Demo

<!DOCTYPE html>
<html lang="en">
   <head>
      <meta charset="UTF-8" />
      <meta http-equiv="X-UA-Compatible" content="ie=edge" />
      <meta name="viewport" content="width=device-width, initial-scale=1.0" />
      <title>Three.js - Torus Knot</title>
      <style>
         * {
            margin: 0;
            padding: 0;
            box-sizing: border-box;
            font-family: -applesystem, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen, Ubuntu,
               Cantarell, 'Open Sans', 'Helvetica Neue', sans-serif;
         }
         html,
         body {
            height: 100vh;
            width: 100vw;
         }
         #threejs-container {
            position: block;
            width: 100%;
            height: 100%;
         }
      </style>
      <script src="https://cdnjs.cloudflare.com/ajax/libs/three.js/r128/three.min.js"></script>
      <script src="https://cdnjs.cloudflare.com/ajax/libs/dat-gui/0.7.7/dat.gui.js"></script>
   </head>
   <body>
   <div id="threejs-container"></div>
      <script type="module">
         // Torus knot geometry in Three.js
         // GUI
         const gui = new dat.GUI()
         // sizes
         let width = window.innerWidth
         let height = window.innerHeight
         // scene
         const scene = new THREE.Scene()
         scene.background = new THREE.Color(0x262626)
         // camera
         const camera = new THREE.PerspectiveCamera(30, width / height, 0.1, 100)
         camera.position.set(0, 0, 10)
         const camFolder = gui.addFolder('Camera')
         camFolder.add(camera.position, 'z').min(10).max(60).step(10)
         camFolder.open()
         // torusKnot
         const geometry = new THREE.TorusKnotGeometry()
         const material = new THREE.MeshBasicMaterial({
            color: 0xffffff,
            wireframe: true
         })
         const materialFolder = gui.addFolder('Material')
         materialFolder.add(material, 'wireframe')
         materialFolder.open()
         const torusKnot = new THREE.Mesh(geometry, material)
         scene.add(torusKnot)
         const torusKnotProps = {
            radius: 1,
            tubeRadius: 0.5,
            radialSegments: 64,
            tubularSegments: 8,
            p: 2,
            q: 3
         }
         const props = gui.addFolder('Properties')
         props
            .add(torusKnotProps, 'radius', 1, 50)
            .step(1)
            .onChange(redraw)
            .onFinishChange(() => console.dir(torusKnot.geometry))
         props.add(torusKnotProps, 'tubeRadius', 0.1, 50).step(0.1).onChange(redraw)
         props.add(torusKnotProps, 'radialSegments', 1, 50).step(1).onChange(redraw)
         props.add(torusKnotProps, 'tubularSegments', 1, 50).step(1).onChange(redraw)
         props.add(torusKnotProps, 'p', 1, 20).step(1).onChange(redraw)
         props.add(torusKnotProps, 'q', 1, 20).step(1).onChange(redraw)
         props.open()
         function redraw() {
            let newGeometry = new THREE.TorusKnotGeometry(
               torusKnotProps.radius,
               torusKnotProps.tubeRadius,
               torusKnotProps.radialSegments,
               torusKnotProps.tubularSegments,
               torusKnotProps.p,
               torusKnotProps.q
            )
            torusKnot.geometry.dispose()
            torusKnot.geometry = newGeometry
         }
         // responsiveness
         window.addEventListener('resize', () => {
            width = window.innerWidth
            height = window.innerHlet
            camera.aspect = width / height
            camera.updateProjectionMatrix()
            renderer.setSize(window.innerWidth, window.innerHeight)
            renderer.render(scene, camera)
         })
         // renderer
         const renderer = new THREE.WebGL1Renderer()
         renderer.setSize(width, height)
         renderer.setPixelRatio(Math.min(window.devicePixelRatio, 2))
         // animation
         function animate() {
            requestAnimationFrame(animate)
            torusKnot.rotation.x += 0.005
            torusKnot.rotation.y += 0.01
            renderer.render(scene, camera)
         }
         // rendering the scene
         const container = document.querySelector('#threejs-container')
         container.append(renderer.domElement)
         renderer.render(scene, camera)
         animate()
      </script>
   </body>
</html>

Output

threejs_geometries.htm