From f724cbff6d740332ea4911203a35d491f2eb323d Mon Sep 17 00:00:00 2001 From: Vincent van der Wal Date: Sun, 19 Jul 2026 10:04:08 +0200 Subject: [PATCH] move to vite, landing page, add more shapes --- README.md | 43 + package-lock.json | 5079 ++++++++---------------------------------- package.json | 17 +- src/css/styles.scss | 253 ++- src/flower.html | 17 + src/flower.js | 86 +- src/index.html | 49 +- src/index.js | 767 +------ src/lib/chrome.js | 51 + src/lib/edgeTubes.js | 46 + src/lib/stage.js | 88 + src/lib/theme.js | 34 + src/lib/transit.js | 31 + src/matrix.html | 17 + src/matrix.js | 119 + src/metatron.html | 17 + src/metatron.js | 725 ++++++ src/phyllotaxis.html | 17 + src/phyllotaxis.js | 96 + src/seed.html | 17 + src/seed.js | 91 +- src/torus.html | 17 + src/torus.js | 109 + vite.config.js | 17 + webpack.config.js | 55 - 25 files changed, 2841 insertions(+), 5017 deletions(-) create mode 100644 src/flower.html create mode 100644 src/lib/chrome.js create mode 100644 src/lib/edgeTubes.js create mode 100644 src/lib/stage.js create mode 100644 src/lib/theme.js create mode 100644 src/lib/transit.js create mode 100644 src/matrix.html create mode 100644 src/matrix.js create mode 100644 src/metatron.html create mode 100644 src/metatron.js create mode 100644 src/phyllotaxis.html create mode 100644 src/phyllotaxis.js create mode 100644 src/seed.html create mode 100644 src/torus.html create mode 100644 src/torus.js create mode 100644 vite.config.js delete mode 100644 webpack.config.js diff --git a/README.md b/README.md index 96d4cbf..1a44c51 100644 --- a/README.md +++ b/README.md @@ -1 +1,44 @@ # Thrive + +Sacred geometry, lifted into three dimensions with [three.js](https://threejs.org/). + +Most sacred-geometry figures are drawn flat. This project asks what they look like +when they are built in real 3D space: the Fruit of Life as a rotated cubic sphere +packing, the Platonic solids nested inside it with their vertices on the circle +centres, the torus as a field of winding strands, and so on. Every page is an +interactive scene with orbit controls and a lil-gui panel for playing with the +parameters. + +## Pages + +| Page | File | What it shows | +| --- | --- | --- | +| Landing | `src/index.js` | Overview of all explorations, with an animated seed-of-life backdrop | +| Metatron's Cube | `src/metatron.js` | The 3D Fruit of Life circle grid with the five Platonic solids (fire, earth, air, water, aether) aligned to it, plus the Merkaba and the full Metatron web | +| Toroidal Field | `src/torus.js` | A torus with field-line strands winding around the surface and particles flowing along them | +| Vector Equilibrium | `src/matrix.js` | The cuboctahedron: radial spokes equal to the edges, and the 12-around-1 kissing-sphere packing | +| Golden Spiral | `src/phyllotaxis.js` | Phyllotaxis at the golden angle: sunflower disc, pinecone and Fibonacci sphere; nudge the angle to watch the pattern collapse | +| Flower of Life | `src/flower.js` | A cubic grid of interlocking spheres | +| Seed of Life | `src/seed.js` | The seven seed circles rotated through space | + +## Development + +```sh +npm install +npm start # dev server with hot reload +npm run build # production build into build/ +``` + +Each page is its own webpack entry; the page list lives at the top of +`webpack.config.js`. To add a new exploration, add `src/.js` (the shared +scene setup is in `src/lib/stage.js`) and one line to the `pages` array. + +Every page shares the chrome in `src/lib/chrome.js`: fade transitions between +pages and a dark/light toggle (bottom right, persisted in localStorage). Dark +mode matches the landing page; light mode is the original orange room. + +## Debug flags (Metatron page) + +* `?noaa` - disable antialiasing +* `?noshadow` - disable shadow maps +* `?only=` - show a single solid diff --git a/package-lock.json b/package-lock.json index 0dc728d..f7ee66c 100644 --- a/package-lock.json +++ b/package-lock.json @@ -5,503 +5,460 @@ "packages": { "": { "dependencies": { - "css-loader": "^7.1.4", - "html-webpack-plugin": "^5.6.7", + "three": "^0.185.1" + }, + "devDependencies": { "sass": "^1.101.0", - "sass-loader": "^17.0.0", - "style-loader": "^4.0.0", - "three": "^0.185.1", - "webpack": "^5.108.4", - "webpack-cli": "^7.2.1", - "webpack-dev-server": "^6.0.0" + "vite": "^7.3.0" } }, - "node_modules/@discoveryjs/json-ext": { - "version": "1.1.0", - "resolved": "https://registry.npmjs.org/@discoveryjs/json-ext/-/json-ext-1.1.0.tgz", - "integrity": "sha512-Xc3VhU02wqZ1HvHRJUwL09HkZSTvidqY5Ya0NXBSYOxAp+Ln9dcJr9fySI+CkONzP3PekQo9WdzCv0PGER/mOA==", + 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dark is the default (also covers the instant before JS sets +// the data-theme attribute), light is the same landing palette inverted. +// Every page shares --page-bg: the scene canvases are transparent, so the +// landing gradient is the scenery background, 1:1. +:root { + --page-bg: radial-gradient(ellipse at 50% 30%, #2a1204 0%, #120701 60%, #000 100%); + --fade-bg: #120701; + --ink: #f5e9de; + --ink-soft: rgba(245, 233, 222, 0.7); + --ink-faint: rgba(245, 233, 222, 0.55); + --panel-bg: rgba(18, 7, 1, 0.75); + --panel-border: rgba(244, 79, 4, 0.35); +} + +html[data-theme='light'] { + --page-bg: radial-gradient(ellipse at 50% 30%, #fff8f0 0%, #ffe7d3 60%, #ffd4b3 100%); + --fade-bg: #ffe7d3; + --ink: #1b0a02; + --ink-soft: rgba(27, 10, 2, 0.7); + --ink-faint: rgba(27, 10, 2, 0.5); + --panel-bg: rgba(255, 248, 240, 0.85); + --panel-border: rgba(244, 79, 4, 0.4); +} + +html, +body { + min-height: 100vh; +} + body { margin: 0; -} \ No newline at end of file + background: var(--page-bg); + font-family: Georgia, 'Times New Roman', serif; + color: var(--ink); +} + +canvas { + display: block; +} + +// page transition: opaque at first paint, faded out by chrome.js once the page +// is ready, faded back in before navigating away. High z-index so it also +// covers stats (z-index 10000) and lil-gui. +.fade { + position: fixed; + inset: 0; + z-index: 10001; + background: var(--fade-bg); + opacity: 1; + pointer-events: none; + transition: opacity 0.35s ease; + + &.done { + opacity: 0; + } +} + +.theme-toggle { + position: fixed; + bottom: 16px; + right: 16px; + z-index: 20; + width: 40px; + height: 40px; + border: 1px solid var(--panel-border); + border-radius: 50%; + background: var(--panel-bg); + color: var(--ink); + font-size: 18px; + line-height: 1; + cursor: pointer; + + &:hover { + border-color: #f44f04; + } +} + +// back-link on the exploration pages; bottom-left because stats sits top-left +// and lil-gui top-right +.page-nav { + position: fixed; + bottom: 16px; + left: 16px; + z-index: 10; + display: flex; + gap: 12px; + align-items: baseline; + font-family: Georgia, 'Times New Roman', serif; + + a { + color: var(--ink); + background: var(--panel-bg); + border: 1px solid var(--panel-border); + text-decoration: none; + padding: 6px 12px; + border-radius: 999px; + font-size: 14px; + + &:hover { + border-color: #f44f04; + } + } + + span { + color: var(--ink-soft); + font-size: 14px; + letter-spacing: 0.04em; + } +} + +// ---------- control panel (lil-gui reskin) ---------- // + +.lil-gui { + --background-color: var(--panel-bg); + --text-color: var(--ink); + --title-background-color: transparent; + --title-text-color: #f44f04; + --widget-color: rgba(244, 79, 4, 0.18); + --hover-color: rgba(244, 79, 4, 0.3); + --focus-color: rgba(244, 79, 4, 0.45); + --number-color: #ff9a5c; + --string-color: #ff9a5c; + --font-family: Georgia, 'Times New Roman', serif; + --font-size: 13px; + --input-font-size: 13px; + --widget-border-radius: 6px; + + &.root { + margin: 12px; + border: 1px solid var(--panel-border); + border-radius: 12px; + overflow: hidden; + backdrop-filter: blur(6px); + } + + &.root > .title { + letter-spacing: 0.08em; + } +} + +html[data-theme='light'] .lil-gui { + --number-color: #c2410c; + --string-color: #c2410c; +} + +// ---------- landing ---------- // + +body.landing { + --card-bg: rgba(18, 7, 1, 0.65); + --card-bg-hover: rgba(42, 18, 4, 0.85); +} + +html[data-theme='light'] body.landing { + --card-bg: rgba(255, 255, 255, 0.6); + --card-bg-hover: rgba(255, 255, 255, 0.95); +} + +.landing-bg { + position: fixed; + inset: 0; + z-index: 0; + pointer-events: none; +} + +.landing-content { + position: relative; + z-index: 1; + max-width: 960px; + margin: 0 auto; + padding: 10vh 24px 12vh; + + header { + text-align: center; + margin-bottom: 64px; + + h1 { + font-size: 64px; + font-weight: normal; + letter-spacing: 0.12em; + margin: 0; + color: #f44f04; + } + + p { + margin: 12px 0 0; + font-size: 18px; + letter-spacing: 0.06em; + color: var(--ink-soft); + } + } +} + +.cards { + display: grid; + grid-template-columns: repeat(auto-fit, minmax(260px, 1fr)); + gap: 20px; +} + +.card { + display: block; + padding: 24px; + border: 1px solid var(--panel-border); + border-radius: 12px; + background: var(--card-bg); + color: inherit; + text-decoration: none; + transition: transform 0.2s ease, border-color 0.2s ease, background 0.2s ease; + + &:hover { + transform: translateY(-4px); + border-color: #f44f04; + background: var(--card-bg-hover); + } + + h2 { + margin: 0 0 10px; + font-size: 22px; + font-weight: normal; + color: #f44f04; + } + + p { + margin: 0; + font-size: 14px; + line-height: 1.55; + color: var(--ink-soft); + } +} + +.soon { + margin-top: 72px; + text-align: center; + + h3 { + font-weight: normal; + font-size: 15px; + letter-spacing: 0.2em; + text-transform: uppercase; + color: var(--ink-faint); + margin: 0 0 16px; + } + + ul { + list-style: none; + margin: 0; + padding: 0; + + li { + font-size: 14px; + color: var(--ink-faint); + margin: 6px 0; + } + } +} diff --git a/src/flower.html b/src/flower.html new file mode 100644 index 0000000..fb1bea9 --- /dev/null +++ b/src/flower.html @@ -0,0 +1,17 @@ + + + + + Flower of Life + + + + +
+ + + + diff --git a/src/flower.js b/src/flower.js index e746ccc..5135004 100644 --- a/src/flower.js +++ b/src/flower.js @@ -4,12 +4,19 @@ import * as THREE from 'three'; import { OrbitControls } from 'three/addons/controls/OrbitControls.js'; import { GUI } from 'three/addons/libs/lil-gui.module.min.js'; -import Stats from 'three/addons/libs/stats.module.js'; -import './css/styles.scss'; +import './lib/chrome.js'; +import { sceneColors } from './lib/theme.js'; +import { bindWorld } from './lib/transit.js'; +const colors = sceneColors(); + +// the landing gradient shows through a transparent canvas; all shapes live in +// `world`, which page transitions fly in and out const scene = new THREE.Scene(); -scene.background = new THREE.Color(0xf44f04); +const world = new THREE.Group(); +scene.add( world ); +const updateWorld = bindWorld( world ); const camera = new THREE.PerspectiveCamera( 45, window.innerWidth / window.innerHeight, 0.1, 500 ); @@ -18,7 +25,7 @@ camera.position.x = 10; camera.position.y = 4; -const renderer = new THREE.WebGLRenderer( { antialias: true } ); +const renderer = new THREE.WebGLRenderer( { antialias: true, alpha: true } ); renderer.setPixelRatio( Math.min( window.devicePixelRatio, 2 ) ); renderer.setSize( window.innerWidth, window.innerHeight ); renderer.shadowMap.enabled = true; @@ -42,13 +49,13 @@ controls.target.set( -4, 0, 0 ); // const torus = new THREE.Mesh( geometry_torus, material_torus ); // torus.rotation.x = Math.PI / 2; // torus.castShadow = true; -// scene.add( torus ); +// world.add( torus ); // const icoGeometry = new THREE.IcosahedronGeometry( 5 ); // const icoMaterial= new THREE.MeshBasicMaterial( {color: 0x049ef4, wireframe: true, wireframeLinewidth: 8 } ); // const iso = new THREE.Mesh( icoGeometry, icoMaterial ); // iso.castShadow = true; -// scene.add( iso ); +// world.add( iso ); // --------- Mekaraba ---------- // // const tetraGeometry = new THREE.TetrahedronGeometry( 2 ); @@ -58,7 +65,7 @@ controls.target.set( -4, 0, 0 ); // // tetra.rotation.x = Math.PI / 4 ; // tetra.rotation.z = Math.PI / 6 ; -// // scene.add( tetra ); +// // world.add( tetra ); // const tetraEdges = new THREE.EdgesGeometry( tetraGeometry ); // const tetraEdgesLine = new THREE.LineSegments( tetraEdges, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); @@ -69,7 +76,7 @@ controls.target.set( -4, 0, 0 ); // // tetraEdgesLine.rotation.y = Math.PI / 6; // tetraEdgesLine.castShadow = true; -// scene.add( tetraEdgesLine ); +// world.add( tetraEdgesLine ); // const tetraGeometry2 = new THREE.TetrahedronGeometry( 2 ); // const tetraMaterial2 = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); @@ -78,7 +85,7 @@ controls.target.set( -4, 0, 0 ); // tetra2.rotation.x = Math.PI / 4 ; // // tetra2.rotation.y = Math.PI / 4 ; // tetra2.rotation.z = Math.PI / 4 ; -// // scene.add( tetra2 ); +// // world.add( tetra2 ); // const tetraEdges2 = new THREE.EdgesGeometry( tetraGeometry2 ); // const tetraEdgesLine2 = new THREE.LineSegments( tetraEdges2, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); @@ -87,7 +94,7 @@ controls.target.set( -4, 0, 0 ); // tetraEdgesLine2.rotation.x = Math.PI / 4 ; // // tetraEdgesLine2.rotation.y = Math.PI / 4 ; // tetraEdgesLine2.rotation.z = Math.PI / 4 ; -// scene.add( tetraEdgesLine2 ); +// world.add( tetraEdgesLine2 ); // ---------- David ------------ // @@ -96,14 +103,14 @@ controls.target.set( -4, 0, 0 ); // const tetra = new THREE.Mesh( tetraGeometry, tetraMaterial ); // tetra.rotation.y = Math.PI / 6 ; // tetra.position.y = 1 / 2 -// scene.add( tetra ); +// world.add( tetra ); // const tetraEdges = new THREE.EdgesGeometry( tetraGeometry ); // const tetraEdgesLine = new THREE.LineSegments( tetraEdges, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 15 } ) ); // tetraEdgesLine.rotation.y = Math.PI / 6 ; // tetraEdgesLine.position.y = 1 / 2 // tetraEdgesLine.castShadow = true; -// scene.add( tetraEdgesLine ); +// world.add( tetraEdgesLine ); // const tetraGeometry2 = new THREE.ConeGeometry( 2, 3, 3 ); // const tetraMaterial2 = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); @@ -111,7 +118,7 @@ controls.target.set( -4, 0, 0 ); // tetra2.rotation.y = Math.PI + Math.PI / 6 ; // tetra2.rotation.z = Math.PI; // tetra2.position.y = - 1 / 2 -// scene.add( tetra2 ); +// world.add( tetra2 ); // const tetraEdges2 = new THREE.EdgesGeometry( tetraGeometry2 ); // const tetraEdgesLine2 = new THREE.LineSegments( tetraEdges2, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 15 } ) ); @@ -119,7 +126,7 @@ controls.target.set( -4, 0, 0 ); // tetraEdgesLine2.rotation.y = Math.PI + Math.PI / 6 ; // tetraEdgesLine2.rotation.z = Math.PI; // tetraEdgesLine2.position.y = - 1 / 2 -// scene.add( tetraEdgesLine2 ); +// world.add( tetraEdgesLine2 ); // ---------- Flower of life ------------ // @@ -127,11 +134,11 @@ controls.target.set( -4, 0, 0 ); // const circleMaterial = new THREE.MeshBasicMaterial( { color: 0x049ef4, side: THREE.DoubleSide } ); // const circle = new THREE.Mesh( circleGeometry, circleMaterial ); // circle.castShadow = true; -// scene.add( circle ); +// world.add( circle ); // const circleLine = new THREE.LineSegments( circleGeometry, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); // circleLine.castShadow = true; -// scene.add( circleLine ); +// world.add( circleLine ); let rotatePoint2D = (cx, cy, angle, px, py) => { angle = - angle * (Math.PI / 180) @@ -217,8 +224,8 @@ let renderFlower = (size = 3, radius = 1) => { [xtemp2, ytemp2, ztemp2] = rotatePoint3D(x, y, z, params['yangle'], params['xangle'], params['zangle']) let sphereGeometry = new THREE.SphereGeometry( radius, 64, 64 ); - let sphereMaterial = new THREE.MeshStandardMaterial( { - color: 0x0063e4, + let sphereMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.sphere, metalness: 0.7, roughness: 0.3, opacity: 0.8, @@ -228,11 +235,11 @@ let renderFlower = (size = 3, radius = 1) => { sphere.position.x = xtemp2; sphere.position.y = ytemp2; sphere.position.z = ztemp2; - scene.add( sphere ); + world.add( sphere ); let circleGeometry = new THREE.TorusGeometry( radius, 0.02, 64, 64 ); - let circleMaterial = new THREE.MeshBasicMaterial( { - color: 0x000000, + let circleMaterial = new THREE.MeshBasicMaterial( { + color: colors.line, opacity: 0.1, transparent: true } ); @@ -242,7 +249,7 @@ let renderFlower = (size = 3, radius = 1) => { circleCircum.position.x = xtemp2; circleCircum.position.y = ytemp2; circleCircum.position.z = ztemp2; - scene.add( circleCircum ); + world.add( circleCircum ); sphere.start_x = x; sphere.start_y = y; @@ -267,7 +274,7 @@ let renderFlower = (size = 3, radius = 1) => { circleCircum = new THREE.Mesh( circleGeometry, circleMaterial ); circleCircum.rotation.y = Math.PI / 2; circleCircum.castShadow = true; - scene.add( circleCircum ); + world.add( circleCircum ); const gui = new GUI(); @@ -300,22 +307,22 @@ let renderFlower = (size = 3, radius = 1) => { }); gui.add( params, 'size', 2, 5).step(1).onChange( (value) => { for (let sphere of spheres) { - scene.remove(sphere) + world.remove(sphere) } for (let sphereLine of spheresLines) { - scene.remove(sphereLine) + world.remove(sphereLine) } - scene.remove(circleCircum) + world.remove(circleCircum) renderFlower (value, params['radius']) }); gui.add( params, 'radius', 0.5, 3).onChange( (value) => { for (let sphere of spheres) { - scene.remove(sphere) + world.remove(sphere) } for (let sphereLine of spheresLines) { - scene.remove(sphereLine) + world.remove(sphereLine) } - scene.remove(circleCircum) + world.remove(circleCircum) renderFlower (params['size'], value) }); gui.close(); @@ -323,8 +330,11 @@ let renderFlower = (size = 3, radius = 1) => { renderFlower() +// dark mode gets a soft warm ambient so unlit faces keep their colour +if ( colors.dark ) scene.add( new THREE.AmbientLight( colors.light, 0.9 ) ); + // legacy lighting was removed in three r155: intensities need the old value times pi -const spotLight = new THREE.DirectionalLight( 0xeaa7a7, 1.5 * Math.PI ); +const spotLight = new THREE.DirectionalLight( colors.light, 1.5 * Math.PI ); spotLight.position.set( 10, 0, 0 ); spotLight.castShadow = true; spotLight.shadow.mapSize.width = 2048; @@ -338,11 +348,11 @@ spotLight.shadow.camera.bottom = -10; // spotLight.shadow.camera.fov = 35; scene.add( spotLight ); -//Create a plane that receives shadows (but does not cast them) +// the wall itself is invisible: only the shadow "projection" shows, in light +// orange, floating on the gradient const planeGeometry = new THREE.PlaneGeometry( 20, 20, 10, 10 ); -const planeMaterial = new THREE.MeshStandardMaterial( { color: 0xffffff } ) +const planeMaterial = new THREE.ShadowMaterial( { color: colors.shadow, opacity: 0.9 } ) const plane = new THREE.Mesh( planeGeometry, planeMaterial ); -planeMaterial.side = THREE.DoubleSide; plane.rotation.y = Math.PI / 2; plane.position.x = -10 plane.receiveShadow = true; @@ -350,16 +360,14 @@ scene.add( plane ); //Create a helper for the shadow camera (optional) const helper = new THREE.CameraHelper( spotLight.shadow.camera ); -// scene.add( helper ); +// world.add( helper ); const axesHelper = new THREE.AxesHelper( 40 ); -scene.add( axesHelper ); +// scene.add( axesHelper ); // const light = new THREE.HemisphereLight( 0xffffbb, 0x080820, 0.2 ); -// scene.add( light ); +// world.add( light ); -let stats = new Stats(); -document.body.appendChild( stats.dom ); // var axis = new THREE.Vector3(0, 1, 0); @@ -378,8 +386,8 @@ function animate () { // sphereLine.position.z = - Math.sin( time ) * sphereLine.start_z; // } + updateWorld(); controls.update(); - stats.update(); renderer.render( scene, camera ); }; diff --git a/src/index.html b/src/index.html index d12e09f..91e927a 100644 --- a/src/index.html +++ b/src/index.html @@ -4,7 +4,52 @@ Thrive + - + +
+
+
+

Thrive

+

Sacred geometry, lifted into three dimensions.

+
+ +
+ +

Metatron’s Cube

+

The five Platonic solids — fire, earth, air, water and aether — nested in the 3D Fruit of Life, every vertex on a circle centre.

+ + +

Toroidal Field

+

The self-sustaining field: strands winding around the torus, through the centre and back around the outside.

+ + +

Vector Equilibrium

+

The cuboctahedron, where centre and neighbour are the same distance apart — 12 spheres kissing a 13th.

+ + +

Golden Spiral

+

Phyllotaxis: seeds placed one golden angle apart become a sunflower, a pinecone, a perfectly even sphere.

+ + +

Flower of Life

+

The flower unfolded into a cubic grid of interlocking spheres.

+ + +

Seed of Life

+

The seven circles of the seed, rotated through space into a sphere of spheres.

+ +
+ +
+

Still unfolding

+
    +
  • Sri Yantra — the nine interlocking triangles raised into Mount Meru
    • +
  • Tesseract — the cube’s shadow from the fourth dimension
    • +
  • Tree of Life — ten sephirot and twenty-two paths in space
    • +
+
+
+ - \ No newline at end of file + diff --git a/src/index.js b/src/index.js index 1032f37..9e26a10 100644 --- a/src/index.js +++ b/src/index.js @@ -1,31 +1,19 @@ - import * as THREE from 'three'; -import { OrbitControls } from 'three/addons/controls/OrbitControls.js'; -import { GUI } from 'three/addons/libs/lil-gui.module.min.js'; - -import Stats from 'three/addons/libs/stats.module.js'; - -import './css/styles.scss'; +import './lib/chrome.js'; +import { bindWorld } from './lib/transit.js'; +// Landing page backdrop: a slowly turning seed of life and icosahedron drawn in +// faint orange lines behind the cards. No controls, no stats - just ambience. const scene = new THREE.Scene(); -scene.background = new THREE.Color(0xf44f04); -const camera = new THREE.PerspectiveCamera( 45, window.innerWidth / window.innerHeight, 0.1, 500 ); -camera.position.z = 12; -camera.position.x = 10; -camera.position.y = 4; +const camera = new THREE.PerspectiveCamera( 45, window.innerWidth / window.innerHeight, 0.1, 100 ); +camera.position.z = 14; -// debug switches to bisect driver issues: ?noaa disables MSAA, ?noshadow disables shadow maps -const debugFlags = new URLSearchParams( window.location.search ); - -const renderer = new THREE.WebGLRenderer( { antialias: !debugFlags.has( 'noaa' ) } ); +const renderer = new THREE.WebGLRenderer( { antialias: true, alpha: true } ); renderer.setPixelRatio( Math.min( window.devicePixelRatio, 2 ) ); renderer.setSize( window.innerWidth, window.innerHeight ); -renderer.shadowMap.enabled = !debugFlags.has( 'noshadow' ); -renderer.shadowMap.type = THREE.PCFSoftShadowMap; -renderer.toneMapping = THREE.ACESFilmicToneMapping; -renderer.toneMappingExposure = 1; +renderer.domElement.classList.add( 'landing-bg' ); document.body.appendChild( renderer.domElement ); window.addEventListener( 'resize', () => { @@ -34,729 +22,40 @@ window.addEventListener( 'resize', () => { renderer.setSize( window.innerWidth, window.innerHeight ); } ); -const controls = new OrbitControls( camera, renderer.domElement ); -controls.target.set( -4, 0, 0 ); +const group = new THREE.Group(); +scene.add( group ); +const updateWorld = bindWorld( group ); +const ringMaterial = new THREE.MeshBasicMaterial( { color: 0xf44f04, opacity: 0.35, transparent: true } ); +const ringGeometry = new THREE.TorusGeometry( 2, 0.015, 16, 128 ); -// const geometry_torus = new THREE.TorusGeometry( 2.5, 2.5, 32, 128 ); -// const material_torus = new THREE.MeshBasicMaterial( { color: 0x049ef4, wireframe: true, wireframeLinewidth: 1} ); -// const torus = new THREE.Mesh( geometry_torus, material_torus ); -// torus.rotation.x = Math.PI / 2; -// torus.castShadow = true; -// scene.add( torus ); +// seed of life: one central ring plus six on its circumference +const centreRing = new THREE.Mesh( ringGeometry, ringMaterial ); +group.add( centreRing ); -// const icoGeometry = new THREE.IcosahedronGeometry( 5 ); -// const icoMaterial= new THREE.MeshBasicMaterial( {color: 0x049ef4, wireframe: true, wireframeLinewidth: 8 } ); -// const iso = new THREE.Mesh( icoGeometry, icoMaterial ); -// iso.castShadow = true; -// scene.add( iso ); - -// --------- Mekaraba ---------- // -// const tetraGeometry = new THREE.TetrahedronGeometry( 2 ); -// const tetraMaterial = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); -// const tetra = new THREE.Mesh( tetraGeometry, tetraMaterial ); -// // tetra.position.y = - 0.81 - -// // tetra.rotation.x = Math.PI / 4 ; -// tetra.rotation.z = Math.PI / 6 ; -// // scene.add( tetra ); - -// const tetraEdges = new THREE.EdgesGeometry( tetraGeometry ); -// const tetraEdgesLine = new THREE.LineSegments( tetraEdges, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); -// // tetraEdgesLine.position.y = -0.81 - -// tetraEdgesLine.rotation.x = Math.PI / 4; -// // tetraEdgesLine.rotation.y = Math.PI ; -// // tetraEdgesLine.rotation.y = Math.PI / 6; - -// tetraEdgesLine.castShadow = true; -// scene.add( tetraEdgesLine ); - -// const tetraGeometry2 = new THREE.TetrahedronGeometry( 2 ); -// const tetraMaterial2 = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); -// const tetra2 = new THREE.Mesh( tetraGeometry2, tetraMaterial2 ); -// tetra2.position.y = 0.81 -// tetra2.rotation.x = Math.PI / 4 ; -// // tetra2.rotation.y = Math.PI / 4 ; -// tetra2.rotation.z = Math.PI / 4 ; -// // scene.add( tetra2 ); - -// const tetraEdges2 = new THREE.EdgesGeometry( tetraGeometry2 ); -// const tetraEdgesLine2 = new THREE.LineSegments( tetraEdges2, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); -// tetraEdgesLine2.castShadow = true; -// tetraEdgesLine2.position.y = 0.81 -// tetraEdgesLine2.rotation.x = Math.PI / 4 ; -// // tetraEdgesLine2.rotation.y = Math.PI / 4 ; -// tetraEdgesLine2.rotation.z = Math.PI / 4 ; -// scene.add( tetraEdgesLine2 ); - - -// ---------- David ------------ // -// const tetraGeometry = new THREE.ConeGeometry( 2, 3, 3 ); -// const tetraMaterial = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); -// const tetra = new THREE.Mesh( tetraGeometry, tetraMaterial ); -// tetra.rotation.y = Math.PI / 6 ; -// tetra.position.y = 1 / 2 -// scene.add( tetra ); - -// const tetraEdges = new THREE.EdgesGeometry( tetraGeometry ); -// const tetraEdgesLine = new THREE.LineSegments( tetraEdges, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 15 } ) ); -// tetraEdgesLine.rotation.y = Math.PI / 6 ; -// tetraEdgesLine.position.y = 1 / 2 -// tetraEdgesLine.castShadow = true; -// scene.add( tetraEdgesLine ); - -// const tetraGeometry2 = new THREE.ConeGeometry( 2, 3, 3 ); -// const tetraMaterial2 = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); -// const tetra2 = new THREE.Mesh( tetraGeometry2, tetraMaterial2 ); -// tetra2.rotation.y = Math.PI + Math.PI / 6 ; -// tetra2.rotation.z = Math.PI; -// tetra2.position.y = - 1 / 2 -// scene.add( tetra2 ); - -// const tetraEdges2 = new THREE.EdgesGeometry( tetraGeometry2 ); -// const tetraEdgesLine2 = new THREE.LineSegments( tetraEdges2, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 15 } ) ); -// tetraEdgesLine2.castShadow = true; -// tetraEdgesLine2.rotation.y = Math.PI + Math.PI / 6 ; -// tetraEdgesLine2.rotation.z = Math.PI; -// tetraEdgesLine2.position.y = - 1 / 2 -// scene.add( tetraEdgesLine2 ); - -// ---------- Flower of life ------------ // - - -let rotatePoint2D = (cx, cy, angle, px, py) => { - angle = - angle * (Math.PI / 180) - let s = Math.sin(angle); - let c = Math.cos(angle); - - // translate point back to origin: - px -= cx; - py -= cy; - - // rotatePoint3D point - let xnew = px * c + py * s; - let ynew = px * s - py * c; - - // translate point back: - px = xnew + cx; - py = ynew + cy; - return [px, py]; +for ( let i = 0; i < 6; i++ ) { + const angle = ( i / 6 ) * Math.PI * 2; + const ring = new THREE.Mesh( ringGeometry, ringMaterial ); + ring.position.set( 2 * Math.cos( angle ), 2 * Math.sin( angle ), 0 ); + group.add( ring ); } -function rotatePoint3D(px, py, pz, pitch, roll, yaw) { - pitch = - pitch * (Math.PI / 180) - roll = - roll * (Math.PI / 180) - yaw = - yaw * (Math.PI / 180) +const icosa = new THREE.LineSegments( + new THREE.EdgesGeometry( new THREE.IcosahedronGeometry( 5.2 ) ), + new THREE.LineBasicMaterial( { color: 0xf44f04, opacity: 0.25, transparent: true } ) +); +group.add( icosa ); - var cosa = Math.cos(yaw); - var sina = Math.sin(yaw); - - var cosb = Math.cos(pitch); - var sinb = Math.sin(pitch); - - var cosc = Math.cos(roll); - var sinc = Math.sin(roll); - - var Axx = cosa*cosb; - var Axy = cosa*sinb*sinc - sina*cosc; - var Axz = cosa*sinb*cosc + sina*sinc; - - var Ayx = sina*cosb; - var Ayy = sina*sinb*sinc + cosa*cosc; - var Ayz = sina*sinb*cosc - cosa*sinc; - - var Azx = -sinb; - var Azy = cosb*sinc; - var Azz = cosb*cosc; - - let x = Axx*px + Axy*py + Axz*pz; - let y = Ayx*px + Ayy*py + Ayz*pz; - let z = Azx*px + Azy*py + Azz*pz; - - return [x, y, z] -} - -// WebGL draws lines at 1px regardless of linewidth, so the shape edges are built -// from real cylinder tubes instead - same 0.03 thickness as the circle tori -function makeEdgeTubes( geometry, color, tubeRadius = 0.03 ) { - const edges = new THREE.EdgesGeometry( geometry ); - const positions = edges.attributes.position; - const group = new THREE.Group(); - const material = new THREE.MeshBasicMaterial( { color } ); - const up = new THREE.Vector3( 0, 1, 0 ); - const start = new THREE.Vector3(); - const end = new THREE.Vector3(); - - for ( let i = 0; i < positions.count; i += 2 ) { - start.fromBufferAttribute( positions, i ); - end.fromBufferAttribute( positions, i + 1 ); - const direction = new THREE.Vector3().subVectors( end, start ); - const length = direction.length(); - - const cylinder = new THREE.CylinderGeometry( tubeRadius, tubeRadius, length, 12 ); - cylinder.translate( 0, length / 2, 0 ); - - const tube = new THREE.Mesh( cylinder, material ); - tube.position.copy( start ); - tube.quaternion.setFromUnitVectors( up, direction.normalize() ); - tube.castShadow = true; - group.add( tube ); - } - - return group; -} - -const params = { - xangle: 45, - yangle: 0, - zangle: 54.72972973, - radius: 1, - tube: 0.03, -}; - -// const params = { -// xangle: 0, -// yangle: 0, -// zangle: 0, -// size: 5, -// radius: 1 -// }; - -let sphere, circleCircum, cube, cubeLines; -let spheres = []; -let spheresLines = []; -let gui; -let solids = []; - -let renderFlower = (radius = 1) => { - spheres = []; - spheresLines = []; - - // tear down the previous render's shapes and GUI so re-rendering never stacks duplicates - if ( gui ) gui.destroy(); - for ( let obj of solids ) scene.remove( obj ); - solids = []; - - // 3D fruit of life: a circle on the centre, on every cube corner and on - // every cube edge midpoint (the inner ring of the 2D pattern) - const d = 4 * 0.612 * radius; - const points = [ [ 0, 0, 0 ] ]; - - for ( let sx of [ -1, 1 ] ) { - for ( let sy of [ -1, 1 ] ) { - for ( let sz of [ -1, 1 ] ) { - points.push( [ sx * d, sy * d, sz * d ] ); - } - } - } - - // only the edge midpoints whose coordinates share a sign: the other six sit on - // the projection equator and would add circles between the two rings - for ( let s of [ -1, 1 ] ) { - points.push( [ s * d, s * d, 0 ] ); - points.push( [ s * d, 0, s * d ] ); - points.push( [ 0, s * d, s * d ] ); - } - - const addCircleAt = ( x, y, z, parent ) => { - let xtemp, ytemp, ztemp; - - [xtemp, ytemp, ztemp] = rotatePoint3D(x, y, z, params['yangle'], params['xangle'], params['zangle']) - - let sphereGeometry = new THREE.SphereGeometry( radius, 64, 64 ); - let sphereMaterial = new THREE.MeshStandardMaterial( { - color: 0x0063e4, - metalness: 0.7, - roughness: 0.3, - opacity: 0.8, - transparent: true - } ); - sphere = new THREE.Mesh( sphereGeometry, sphereMaterial ); - sphere.position.x = xtemp; - sphere.position.y = ytemp; - sphere.position.z = ztemp; - parent.add( sphere ); - - let circleGeometry = new THREE.TorusGeometry( radius, params['tube'], 64, 64 ); - let circleMaterial = new THREE.MeshBasicMaterial( { - color: 0x000000, - opacity: 0.1, - transparent: true - } ); - let ring = new THREE.Mesh( circleGeometry, circleMaterial ); - ring.castShadow = true; - ring.rotation.y = Math.PI / 2; - ring.position.x = xtemp; - ring.position.y = ytemp; - ring.position.z = ztemp; - parent.add( ring ); - - circleGeometry = new THREE.TorusGeometry( 0.01, 0.01, 64, 64 ); - circleMaterial = new THREE.MeshBasicMaterial( { - color: 0x000000, - opacity: 0.1, - transparent: true - } ); - circleCircum = new THREE.Mesh( circleGeometry, circleMaterial ); - circleCircum.castShadow = true; - circleCircum.rotation.y = Math.PI / 2; - circleCircum.position.x = xtemp; - circleCircum.position.y = ytemp; - circleCircum.position.z = ztemp; - parent.add( circleCircum ); - - sphere.start_x = x; - sphere.start_y = y; - sphere.start_z = z; - ring.start_x = x; - ring.start_y = y; - ring.start_z = z; - circleCircum.start_x = x; - circleCircum.start_y = y; - circleCircum.start_z = z; - - spheres.push(sphere) - spheresLines.push(ring) - spheresLines.push(circleCircum) - }; - - for ( let point of points ) { - addCircleAt( ...point, scene ); - } - - // the remaining cube circles: the six equatorial edge midpoints and the six - // face centres, hidden behind the "allCubeCircles" toggle - const extraCircles = new THREE.Group(); - extraCircles.visible = false; - - for ( let s of [ -1, 1 ] ) { - for ( let extraPoint of [ - [ s * d, -s * d, 0 ], [ s * d, 0, -s * d ], [ 0, s * d, -s * d ], - [ s * d, 0, 0 ], [ 0, s * d, 0 ], [ 0, 0, s * d ], - ] ) { - addCircleAt( ...extraPoint, extraCircles ); - } - } - - scene.add( extraCircles ); - - // Metatron's web: every circle centre connected to every other one - let web = new THREE.Group(); - const webMaterial = new THREE.MeshBasicMaterial( { color: 0x000000, opacity: 0.5, transparent: true } ); - const webUp = new THREE.Vector3( 0, 1, 0 ); - - for ( let i = 0; i < points.length; i++ ) { - for ( let j = i + 1; j < points.length; j++ ) { - const [ ax, ay, az ] = rotatePoint3D( ...points[ i ], params[ 'yangle' ], params[ 'xangle' ], params[ 'zangle' ] ); - const [ bx, by, bz ] = rotatePoint3D( ...points[ j ], params[ 'yangle' ], params[ 'xangle' ], params[ 'zangle' ] ); - const a = new THREE.Vector3( ax, ay, az ); - const b = new THREE.Vector3( bx, by, bz ); - const direction = new THREE.Vector3().subVectors( b, a ); - const length = direction.length(); - - const webTube = params['tube'] * 0.4; - const cylinder = new THREE.CylinderGeometry( webTube, webTube, length, 6 ); - cylinder.translate( 0, length / 2, 0 ); - - const strand = new THREE.Mesh( cylinder, webMaterial ); - strand.position.copy( a ); - strand.quaternion.setFromUnitVectors( webUp, direction.clone().normalize() ); - web.add( strand ); - } - } - - web.visible = false; - scene.add( web ); - - // the exact rotation the circle grid uses, as a matrix - solids aligned with - // this coincide with the dots instead of approximating them with tuned angles - const gridRotation = new THREE.Matrix4().makeBasis( - new THREE.Vector3( ...rotatePoint3D( 1, 0, 0, params['yangle'], params['xangle'], params['zangle'] ) ), - new THREE.Vector3( ...rotatePoint3D( 0, 1, 0, params['yangle'], params['xangle'], params['zangle'] ) ), - new THREE.Vector3( ...rotatePoint3D( 0, 0, 1, params['yangle'], params['xangle'], params['zangle'] ) ) - ); - - - // earth - width 2d puts every corner exactly on a corner dot - const boxGeometry = new THREE.BoxGeometry( 2 * d, 2 * d, 2 * d ); - const boxMaterial = new THREE.MeshStandardMaterial( { - color: 0x994f28, - metalness: 0.7, - roughness: 0.3, - opacity: 0.8, - transparent: true, - // wireframe: true, - } ); - cube = new THREE.Mesh( boxGeometry, boxMaterial ); - cube.setRotationFromMatrix( gridRotation ); - - cubeLines = makeEdgeTubes( boxGeometry, 0x1b0a02, params['tube'] ); - cubeLines.setRotationFromMatrix( gridRotation ); - cubeLines.castShadow = true; - - scene.add( cubeLines ); - scene.add( cube ); - - // fire - radius sqrt(3)d puts every vertex exactly on a corner dot - const tetraGeometry = new THREE.TetrahedronGeometry( Math.sqrt( 3 ) * d ) - const tetraMaterial = new THREE.MeshStandardMaterial( { - color: 0xdb1212, - metalness: 0.7, - roughness: 0.3, - opacity: 0.8, - transparent: true - } ); - let tetra = new THREE.Mesh( tetraGeometry, tetraMaterial ); - - let tetraLines = makeEdgeTubes( tetraGeometry, 0x140101, params['tube'] ); - - - - tetraLines.setRotationFromMatrix( gridRotation ); - tetra.setRotationFromMatrix( gridRotation ); - tetraLines.castShadow = true; - - scene.add( tetraLines ); - scene.add( tetra ); - - // second tetrahedron of the star tetrahedron (Merkaba): the same shape - // rotated a quarter turn so it interlocks with the first - const tetraGeometry2 = new THREE.TetrahedronGeometry( Math.sqrt( 3 ) * d ); - tetraGeometry2.rotateZ( Math.PI / 2 ); - let tetra2 = new THREE.Mesh( tetraGeometry2, tetraMaterial ); - let tetraLines2 = makeEdgeTubes( tetraGeometry2, 0x140101, params['tube'] ); - - tetra2.rotation.copy( tetra.rotation ); - tetraLines2.rotation.copy( tetraLines.rotation ); - - scene.add( tetraLines2 ); - scene.add( tetra2 ); - - // radius 2d puts the projected corners exactly on the outer circle centres - const octaGeometry = new THREE.OctahedronGeometry( 2 * d ) - const octaMaterial = new THREE.MeshStandardMaterial( { - color: 0x9dedf6, - metalness: 0.7, - roughness: 0.3, - opacity: 0.8, - transparent: true - } ); - let octa = new THREE.Mesh( octaGeometry, octaMaterial ); - - let octaLines = makeEdgeTubes( octaGeometry, 0x0a2528, params['tube'] ); - - octaLines.setRotationFromMatrix( gridRotation ); - octa.setRotationFromMatrix( gridRotation ); - octaLines.castShadow = true; - - scene.add( octaLines ); - scene.add( octa ); - - // radius 1.663d puts the projected corners on the outer circle centres - const icosaGeometry = new THREE.IcosahedronGeometry( 1.663 * d ) - const icosaMaterial = new THREE.MeshStandardMaterial( { - color: 0x0063e4, - metalness: 0.7, - roughness: 0.3, - opacity: 0.8, - transparent: true - } ); - let icosa = new THREE.Mesh( icosaGeometry, icosaMaterial ); - - let icosaLines = makeEdgeTubes( icosaGeometry, 0x000000, params['tube'] ); - - // a grid-aligned icosahedron projects its corners 22.2 degrees off the dot - // hexagon, so it gets an extra twist about the view diagonal to meet the dots - const PHI = ( 1 + Math.sqrt( 5 ) ) / 2; - const icosaTwist = Math.PI / 6 - Math.atan( ( PHI + 2 ) / ( Math.sqrt( 3 ) * PHI ) ); - const icosaRotation = new THREE.Matrix4().multiplyMatrices( - gridRotation, - new THREE.Matrix4().makeRotationAxis( new THREE.Vector3( 1, 1, 1 ).normalize(), icosaTwist ) - ); - - icosaLines.setRotationFromMatrix( icosaRotation ); - icosa.setRotationFromMatrix( icosaRotation ); - icosaLines.castShadow = true; - - scene.add( icosaLines ); - scene.add( icosa ); - - // 2.29 * 1.003: tuned against the circle pattern - const dodecaGeometry = new THREE.DodecahedronGeometry( 2.297 * radius ) - const dodecaMaterial = new THREE.MeshStandardMaterial( { - color: 0x0063e4, - metalness: 0.7, - roughness: 0.3, - opacity: 0.8, - transparent: true - } ); - let dodeca = new THREE.Mesh( dodecaGeometry, dodecaMaterial ); - - let dodecaLines = makeEdgeTubes( dodecaGeometry, 0x000000, params['tube'] ); - - // aether: a dodecahedron vertex sits on the cube diagonal, so the plain grid - // rotation points a vertex straight at the light and shares the cube's frame, - // with a tuned x-angle on top - dodecaLines.setRotationFromMatrix( gridRotation ); - dodeca.setRotationFromMatrix( gridRotation ); - dodecaLines.rotation.x = 52.25 * (Math.PI / 180); - dodeca.rotation.x = 52.25 * (Math.PI / 180); - dodecaLines.castShadow = true; - - scene.add( dodecaLines ); - scene.add( dodeca ); - - - // Big circle: visible as a solid tube, same thickness as the shape edges - let circleGeometry = new THREE.TorusGeometry( 5 * radius, params['tube'], 64, 64); - let circleMaterial = new THREE.MeshBasicMaterial( { color: 0x000000 } ); - circleCircum = new THREE.Mesh( circleGeometry, circleMaterial ); - circleCircum.rotation.y = Math.PI / 2; - circleCircum.castShadow = true; - scene.add( circleCircum ); - - solids.push( cube, cubeLines, tetra, tetraLines, tetra2, tetraLines2, octa, octaLines, icosa, icosaLines, dodeca, dodecaLines, circleCircum, web, extraCircles ); - - - gui = new GUI(); - - let guiDict = {}; - - let fire = gui.addFolder('Fire'); - guiDict['fire'] = {'folder': fire, 'object': tetra, 'objectLines': tetraLines}; - - let fire2 = gui.addFolder('Fire 2'); - guiDict['fire2'] = {'folder': fire2, 'object': tetra2, 'objectLines': tetraLines2}; - - let air = gui.addFolder('Air'); - guiDict['air'] = {'folder': air, 'object': octa, 'objectLines': octaLines}; - - let earth = gui.addFolder('Earth'); - guiDict['earth'] = {'folder': earth, 'object': cube, 'objectLines': cubeLines}; - - let water = gui.addFolder('Water'); - guiDict['water'] = {'folder': water, 'object': icosa, 'objectLines': icosaLines}; - - let aether = gui.addFolder('Aether') - guiDict['aether'] = {'folder': aether, 'object': dodeca, 'objectLines': dodecaLines}; - - let circles = gui.addFolder('Circles') - guiDict['circles'] = {'folder': circles}; - - circles.add( { web: false }, 'web' ).onChange( ( value ) => { - web.visible = value; - } ); - - circles.add( { allCubeCircles: false }, 'allCubeCircles' ).onChange( ( value ) => { - extraCircles.visible = value; - } ); - - let folderStandard = { - show: true, - fill: true, - frame: true, - xAngle: 45, - yAngle: 0, - zAngle: 54.72972973, - size: 5, - radius: 1, - scale: 1, - } - - circles.add( folderStandard, 'show', true).onChange((value) => { - if (value) { - for (let sphere of spheres) { - sphere.visible = true; - } - for (let sphereLine of spheresLines) { - sphereLine.visible = true; - } - } else { - for (let sphere of spheres) { - sphere.visible = false; - } - for (let sphereLine of spheresLines) { - sphereLine.visible = false; - } - } - }); - - for (let fld of Object.keys(guiDict)) { - // guiDict[fld]['folder'].close() - if (fld === "circles") { - continue - } - folderStandard.show = true; - - folderStandard.xAngle = guiDict[fld]['object'].rotation.x / (Math.PI / 180); - folderStandard.yAngle = guiDict[fld]['object'].rotation.y / (Math.PI / 180); - folderStandard.zAngle = guiDict[fld]['object'].rotation.z / (Math.PI / 180); - - guiDict[fld]['folder'].add( folderStandard, 'scale', 0, 2 ).step(0.001).onChange( (value) => { - guiDict[fld]['object'].scale.x = value - guiDict[fld]['object'].scale.y = value - guiDict[fld]['object'].scale.z = value - guiDict[fld]['objectLines'].scale.x = value - guiDict[fld]['objectLines'].scale.y = value - guiDict[fld]['objectLines'].scale.z = value - }); - - guiDict[fld]['folder'].add( folderStandard, 'show', true).onChange((value) => { - if (value) { - guiDict[fld]['object'].visible = true; - guiDict[fld]['objectLines'].visible = true; - } else { - guiDict[fld]['object'].visible = false; - guiDict[fld]['objectLines'].visible = false; - } - }); - guiDict[fld]['folder'].add( folderStandard, 'fill', true).onChange((value) => { - if (value) { - guiDict[fld]['object'].visible = true; - } else { - guiDict[fld]['object'].visible = false; - } - }); - guiDict[fld]['folder'].add( folderStandard, 'frame', true).onChange((value) => { - if (value) { - guiDict[fld]['objectLines'].visible = true; - } else { - guiDict[fld]['objectLines'].visible = false; - } - }); - - guiDict[fld]['folder'].add( folderStandard, 'xAngle', 0, 360 ).step(0.1).onChange( (value) => { - guiDict[fld]['object'].rotation.x = value * (Math.PI / 180) - guiDict[fld]['objectLines'].rotation.x = value * (Math.PI / 180) - }); - - guiDict[fld]['folder'].add( folderStandard, 'yAngle', 0, 360 ).step(0.1).onChange( (value) => { - guiDict[fld]['object'].rotation.y = value * (Math.PI / 180) - guiDict[fld]['objectLines'].rotation.y = value * (Math.PI / 180) - }); - guiDict[fld]['folder'].add( folderStandard, 'zAngle', 0, 360 ).step(0.1).onChange( (value) => { - guiDict[fld]['object'].rotation.z = value * (Math.PI / 180) - guiDict[fld]['objectLines'].rotation.z = value * (Math.PI / 180) - }); - } - - circles.add( params, 'xangle', 0, 360 ).step(0.1).onChange( (value) => { - for (let sphere of spheres) { - [sphere.position.x, sphere.position.y, sphere.position.z] = rotatePoint3D(sphere.start_x, sphere.start_y, sphere.start_z, params['yangle'], value, params['zangle']) - } - for (let sphereLine of spheresLines) { - [sphereLine.position.x, sphereLine.position.y, sphereLine.position.z] = rotatePoint3D(sphereLine.start_x, sphereLine.start_y, sphereLine.start_z, params['yangle'], value, params['zangle']) - } - - }); - circles.add( params, 'yangle', 0, 360 ).step(0.1).onChange( (value) => { - for (let sphere of spheres) { - [sphere.position.x, sphere.position.y, sphere.position.z] = rotatePoint3D(sphere.start_x, sphere.start_y, sphere.start_z, value, params['xangle'], params['zangle']) - } - for (let sphereLine of spheresLines) { - [sphereLine.position.x, sphereLine.position.y, sphereLine.position.z] = rotatePoint3D(sphereLine.start_x, sphereLine.start_y, sphereLine.start_z, value, params['xangle'], params['zangle']) - } - }); - circles.add( params, 'zangle', 0, 360 ).step(0.1).onChange( (value) => { - for (let sphere of spheres) { - [sphere.position.x, sphere.position.y, sphere.position.z] = rotatePoint3D(sphere.start_x, sphere.start_y, sphere.start_z, params['yangle'], params['xangle'], value) - } - for (let sphereLine of spheresLines) { - [sphereLine.position.x, sphereLine.position.y, sphereLine.position.z] = rotatePoint3D(sphereLine.start_x, sphereLine.start_y, sphereLine.start_z, params['yangle'], params['xangle'], value) - } - }); - gui.add( params, 'radius', 0.5, 1.5).onChange( (value) => { - for (let sphere of spheres) { - scene.remove(sphere) - } - for (let sphereLine of spheresLines) { - scene.remove(sphereLine) - } - renderFlower (value) - }); - gui.add( params, 'tube', 0.01, 0.1 ).step( 0.005 ).onChange( () => { - for (let sphere of spheres) { - scene.remove(sphere) - } - for (let sphereLine of spheresLines) { - scene.remove(sphereLine) - } - renderFlower (params['radius']) - }); - - // ?only= hides the other solids, for - // checking a single shape against the reference - const only = debugFlags.get( 'only' ); - if ( only && guiDict[ only ] ) { - for ( let fld of Object.keys( guiDict ) ) { - if ( fld === only || ! guiDict[ fld ][ 'object' ] ) continue; - guiDict[ fld ][ 'object' ].visible = false; - guiDict[ fld ][ 'objectLines' ].visible = false; - } - } - - gui.close(); -} - -renderFlower() - -// legacy lighting was removed in three r155: intensities need the old value times pi -const spotLight = new THREE.DirectionalLight( 0xeaa7a7, 1.5 * Math.PI ); -spotLight.position.set( 10, 0, 0 ); -spotLight.castShadow = true; -spotLight.shadow.mapSize.width = 2048; -spotLight.shadow.mapSize.height = 2048; -spotLight.shadow.camera.far = 21; -spotLight.shadow.camera.left = -10; -spotLight.shadow.camera.right = 10; -spotLight.shadow.camera.top = 10; -spotLight.shadow.camera.bottom = -10; - -// spotLight.shadow.camera.fov = 35; -scene.add( spotLight ); - -//Create a plane that receives shadows (but does not cast them) -const planeGeometry = new THREE.PlaneGeometry( 20, 20, 10, 10 ); -const planeMaterial = new THREE.MeshStandardMaterial( { color: 0xffffff } ) -const plane = new THREE.Mesh( planeGeometry, planeMaterial ); -planeMaterial.side = THREE.DoubleSide; -plane.rotation.y = Math.PI / 2; -plane.position.x = -10 -plane.receiveShadow = true; -scene.add( plane ); - -//Create a helper for the shadow camera (optional) -// const helper = new THREE.CameraHelper( spotLight.shadow.camera ); -// scene.add( helper ); - -// const axesHelper = new THREE.AxesHelper( 40 ); -// scene.add( axesHelper ); - -let stats = new Stats(); -document.body.appendChild( stats.dom ); - -// var axis = new THREE.Vector3(0, 1, 0); - -function animate () { +function animate() { requestAnimationFrame( animate ); + // in-plane rotation only: the flower turns with the site, never edge-on const time = performance.now() / 1000; + group.rotation.z = time * 0.05; + icosa.rotation.z = -time * 0.08; - // for (let sphere of spheres) { - // sphere.position.x = Math.cos( time ) * sphere.start_x; - // sphere.position.z = - Math.sin( time ) * sphere.start_z; - // } - - // for (let sphereLine of spheresLines) { - // sphereLine.position.x = Math.cos( time ) * sphereLine.start_x; - // sphereLine.position.z = - Math.sin( time ) * sphereLine.start_z; - // } - - controls.update(); - stats.update(); - + updateWorld(); renderer.render( scene, camera ); -}; +} -animate(); \ No newline at end of file +animate(); diff --git a/src/lib/chrome.js b/src/lib/chrome.js new file mode 100644 index 0000000..485f21d --- /dev/null +++ b/src/lib/chrome.js @@ -0,0 +1,51 @@ +import { currentTheme, toggleTheme } from './theme.js'; +import { EXIT_MS } from './transit.js'; + +// Shared page chrome: theme attribute for the CSS, fade transitions between +// pages, and the dark/light toggle. Imported for its side effects by every page. +document.documentElement.dataset.theme = currentTheme(); + +const FADE_MS = 350; + +window.addEventListener( 'DOMContentLoaded', () => { + // the overlay lives in the HTML templates so it covers the very first paint; + // pages without one (shouldn't happen) still get a working fallback + let fade = document.querySelector( '.fade' ); + if ( ! fade ) { + fade = document.createElement( 'div' ); + fade.className = 'fade'; + document.body.appendChild( fade ); + } + + // double rAF so the browser commits the opaque state before transitioning + requestAnimationFrame( () => requestAnimationFrame( () => fade.classList.add( 'done' ) ) ); + + // fly the shapes out first, fade through the background for the tail of the + // flight, then navigate + const fadeTo = ( action ) => { + window.dispatchEvent( new Event( 'thrive:exit' ) ); + setTimeout( () => fade.classList.remove( 'done' ), EXIT_MS - FADE_MS + 100 ); + setTimeout( action, EXIT_MS + 100 ); + }; + + document.addEventListener( 'click', ( event ) => { + const link = event.target.closest( 'a[href]' ); + if ( ! link || link.origin !== location.origin ) return; + event.preventDefault(); + fadeTo( () => { location.href = link.href; } ); + } ); + + const button = document.createElement( 'button' ); + button.className = 'theme-toggle'; + button.textContent = currentTheme() === 'dark' ? '☀' : '☾'; + button.title = 'toggle dark / light'; + button.addEventListener( 'click', () => { + // the scenes build their materials once at startup, so switching theme + // reloads the page - the fade makes that read as a transition + fadeTo( () => { + toggleTheme(); + location.reload(); + } ); + } ); + document.body.appendChild( button ); +} ); diff --git a/src/lib/edgeTubes.js b/src/lib/edgeTubes.js new file mode 100644 index 0000000..de41feb --- /dev/null +++ b/src/lib/edgeTubes.js @@ -0,0 +1,46 @@ +import * as THREE from 'three'; + +// WebGL draws lines at 1px regardless of linewidth, so shape edges are built +// from real cylinder tubes instead - same trick as the Metatron page +export function makeEdgeTubes( geometry, color, tubeRadius = 0.03 ) { + const edges = new THREE.EdgesGeometry( geometry ); + const positions = edges.attributes.position; + const group = new THREE.Group(); + const material = new THREE.MeshBasicMaterial( { color } ); + const up = new THREE.Vector3( 0, 1, 0 ); + const start = new THREE.Vector3(); + const end = new THREE.Vector3(); + + for ( let i = 0; i < positions.count; i += 2 ) { + start.fromBufferAttribute( positions, i ); + end.fromBufferAttribute( positions, i + 1 ); + const direction = new THREE.Vector3().subVectors( end, start ); + const length = direction.length(); + + const cylinder = new THREE.CylinderGeometry( tubeRadius, tubeRadius, length, 12 ); + cylinder.translate( 0, length / 2, 0 ); + + const tube = new THREE.Mesh( cylinder, material ); + tube.position.copy( start ); + tube.quaternion.setFromUnitVectors( up, direction.normalize() ); + tube.castShadow = true; + group.add( tube ); + } + + return group; +} + +// A straight tube between two points, for edges that don't come from a geometry +export function makeTube( a, b, material, tubeRadius = 0.03 ) { + const direction = new THREE.Vector3().subVectors( b, a ); + const length = direction.length(); + + const cylinder = new THREE.CylinderGeometry( tubeRadius, tubeRadius, length, 12 ); + cylinder.translate( 0, length / 2, 0 ); + + const tube = new THREE.Mesh( cylinder, material ); + tube.position.copy( a ); + tube.quaternion.setFromUnitVectors( new THREE.Vector3( 0, 1, 0 ), direction.normalize() ); + tube.castShadow = true; + return tube; +} diff --git a/src/lib/stage.js b/src/lib/stage.js new file mode 100644 index 0000000..9379745 --- /dev/null +++ b/src/lib/stage.js @@ -0,0 +1,88 @@ +import * as THREE from 'three'; + +import { OrbitControls } from 'three/addons/controls/OrbitControls.js'; + +import './chrome.js'; +import { sceneColors } from './theme.js'; +import { bindWorld } from './transit.js'; + +// Shared scene setup for the exploration pages: the landing page gradient shows +// through a transparent canvas, a side light throws a light orange shadow onto +// an invisible wall, and every shape lives in a `world` group that flies in and +// out on page transitions. Returns hooks instead of globals so pages stay small. +export function createStage( { target = [ 0, 0, 0 ] } = {} ) { + const colors = sceneColors(); + + const scene = new THREE.Scene(); + + const camera = new THREE.PerspectiveCamera( 45, window.innerWidth / window.innerHeight, 0.1, 500 ); + camera.position.set( 10, 4, 12 ); + + const renderer = new THREE.WebGLRenderer( { antialias: true, alpha: true } ); + renderer.setPixelRatio( Math.min( window.devicePixelRatio, 2 ) ); + renderer.setSize( window.innerWidth, window.innerHeight ); + renderer.shadowMap.enabled = true; + renderer.shadowMap.type = THREE.PCFSoftShadowMap; + renderer.toneMapping = THREE.ACESFilmicToneMapping; + renderer.toneMappingExposure = 1; + document.body.appendChild( renderer.domElement ); + + window.addEventListener( 'resize', () => { + camera.aspect = window.innerWidth / window.innerHeight; + camera.updateProjectionMatrix(); + renderer.setSize( window.innerWidth, window.innerHeight ); + } ); + + const controls = new OrbitControls( camera, renderer.domElement ); + controls.target.set( ...target ); + + // dark mode gets a soft warm ambient so unlit faces keep their colour + if ( colors.dark ) scene.add( new THREE.AmbientLight( colors.light, 0.9 ) ); + + // legacy lighting was removed in three r155: intensities need the old value times pi + const spotLight = new THREE.DirectionalLight( colors.light, 1.5 * Math.PI ); + spotLight.position.set( 10, 0, 0 ); + spotLight.castShadow = true; + spotLight.shadow.mapSize.width = 2048; + spotLight.shadow.mapSize.height = 2048; + spotLight.shadow.camera.far = 21; + spotLight.shadow.camera.left = -10; + spotLight.shadow.camera.right = 10; + spotLight.shadow.camera.top = 10; + spotLight.shadow.camera.bottom = -10; + scene.add( spotLight ); + + // the wall itself is invisible: only the shadow "projection" shows, in + // light orange, floating on the gradient; front side only so the shapes + // stay fully visible when orbiting behind it + const planeGeometry = new THREE.PlaneGeometry( 20, 20, 10, 10 ); + const planeMaterial = new THREE.ShadowMaterial( { color: colors.shadow, opacity: 0.9 } ); + const plane = new THREE.Mesh( planeGeometry, planeMaterial ); + plane.rotation.y = Math.PI / 2; + plane.position.x = -10; + plane.receiveShadow = true; + scene.add( plane ); + + + // pages add their shapes to this group; transitions scale it in and out + const world = new THREE.Group(); + scene.add( world ); + const updateWorld = bindWorld( world ); + + const updates = []; + + function animate() { + requestAnimationFrame( animate ); + + const time = performance.now() / 1000; + for ( const update of updates ) update( time ); + + updateWorld(); + controls.update(); + renderer.render( scene, camera ); + } + + animate(); + + return { scene: world, camera, renderer, controls, colors, onUpdate: ( fn ) => updates.push( fn ) }; +} diff --git a/src/lib/theme.js b/src/lib/theme.js new file mode 100644 index 0000000..33d5634 --- /dev/null +++ b/src/lib/theme.js @@ -0,0 +1,34 @@ +const KEY = 'thrive-theme'; + +export function currentTheme() { + try { + return localStorage.getItem( KEY ) === 'light' ? 'light' : 'dark'; + } catch { + return 'dark'; + } +} + +export function toggleTheme() { + try { + localStorage.setItem( KEY, currentTheme() === 'dark' ? 'light' : 'dark' ); + } catch { + // private mode: theme just won't persist + } +} + +// the landing page palette, used 1:1 in the scenes; the background itself is the +// landing CSS gradient showing through a transparent canvas (see styles.scss) +const fills = { + sphere: 0xf44f04, // orange + fire: 0xf44f04, // orange + earth: 0x2a1204, // deep brown + air: 0xffd4b3, // pale tint + water: 0xff9a5c, // light orange + aether: 0xf5e9de, // cream +}; + +export function sceneColors() { + return currentTheme() === 'dark' + ? { dark: true, light: 0xffb37a, line: 0xf5e9de, shadow: 0xff9a5c, fills } + : { dark: false, light: 0xffb37a, line: 0x1b0a02, shadow: 0xf44f04, fills }; +} diff --git a/src/lib/transit.js b/src/lib/transit.js new file mode 100644 index 0000000..ac8118a --- /dev/null +++ b/src/lib/transit.js @@ -0,0 +1,31 @@ +// Shape transitions between pages, styled as one continuous forward flight: +// entering shapes grow inward from the distance into place, leaving shapes keep +// growing outward past the camera. The world keeps casting shadows while it +// scales, so the projection on the wall travels with it. +export const EXIT_MS = 600; +const ENTER_MS = 900; + +const easeOutCubic = ( t ) => 1 - Math.pow( 1 - t, 3 ); +const easeInCubic = ( t ) => t * t * t; + +// wraps a THREE.Group holding all of a page's shapes; call the returned +// function every frame +export function bindWorld( world ) { + let mode = 'enter'; + let start = performance.now(); + + window.addEventListener( 'thrive:exit', () => { + mode = 'exit'; + start = performance.now(); + } ); + + return function update() { + if ( mode === 'enter' ) { + const k = Math.min( 1, ( performance.now() - start ) / ENTER_MS ); + world.scale.setScalar( Math.max( 0.001, easeOutCubic( k ) ) ); + } else { + const k = Math.min( 1, ( performance.now() - start ) / EXIT_MS ); + world.scale.setScalar( 1 + easeInCubic( k ) * 7 ); + } + }; +} diff --git a/src/matrix.html b/src/matrix.html new file mode 100644 index 0000000..3db2da3 --- /dev/null +++ b/src/matrix.html @@ -0,0 +1,17 @@ + + + + + Vector Equilibrium + + + + +
+ + + + diff --git a/src/matrix.js b/src/matrix.js new file mode 100644 index 0000000..b052b20 --- /dev/null +++ b/src/matrix.js @@ -0,0 +1,119 @@ +import * as THREE from 'three'; + +import { GUI } from 'three/addons/libs/lil-gui.module.min.js'; +import { ConvexGeometry } from 'three/addons/geometries/ConvexGeometry.js'; + +import { createStage } from './lib/stage.js'; +import { makeTube } from './lib/edgeTubes.js'; + +// The vector equilibrium (cuboctahedron): the only form where every vertex is +// exactly as far from the centre as from its neighbours - Fuller's "zero point" +// of the isotropic vector matrix. Its 12 vertices plus centre are the 13 circles +// of Metatron's Cube, and 12 spheres kiss one central sphere on those points. +const { scene, colors, onUpdate } = createStage(); + +const params = { + scale: 2, + edges: true, + spokes: true, + fill: true, + spheres: false, + spin: false, +}; + +const group = new THREE.Group(); +scene.add( group ); + +let parts = []; + +function renderMatrix() { + for ( const part of parts ) group.remove( part ); + parts = []; + + const a = params.scale; + + // all permutations of (+-a, +-a, 0): the 12 cuboctahedron vertices + const vertices = []; + for ( const s1 of [ -1, 1 ] ) { + for ( const s2 of [ -1, 1 ] ) { + vertices.push( new THREE.Vector3( s1 * a, s2 * a, 0 ) ); + vertices.push( new THREE.Vector3( s1 * a, 0, s2 * a ) ); + vertices.push( new THREE.Vector3( 0, s1 * a, s2 * a ) ); + } + } + + const edgeLength = a * Math.SQRT2; // equals the distance from centre to vertex + const edgeMaterial = new THREE.MeshBasicMaterial( { color: colors.line } ); + const spokeMaterial = new THREE.MeshBasicMaterial( { color: colors.line, opacity: 0.35, transparent: true } ); + + const edges = new THREE.Group(); + for ( let i = 0; i < vertices.length; i++ ) { + for ( let j = i + 1; j < vertices.length; j++ ) { + if ( Math.abs( vertices[ i ].distanceTo( vertices[ j ] ) - edgeLength ) < 1e-6 ) { + edges.add( makeTube( vertices[ i ], vertices[ j ], edgeMaterial ) ); + } + } + } + edges.visible = params.edges; + group.add( edges ); + parts.push( edges ); + + // the 12 radial spokes are as long as the edges - that's the equilibrium + const spokes = new THREE.Group(); + const centre = new THREE.Vector3( 0, 0, 0 ); + for ( const vertex of vertices ) { + spokes.add( makeTube( centre, vertex, spokeMaterial, 0.02 ) ); + } + spokes.visible = params.spokes; + group.add( spokes ); + parts.push( spokes ); + + const fillMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.fire, + metalness: 0.7, + roughness: 0.3, + opacity: 0.8, + transparent: true, + } ); + // the fill casts no shadow: only the edges and spokes project, as outlines + const fill = new THREE.Mesh( new ConvexGeometry( vertices ), fillMaterial ); + fill.visible = params.fill; + group.add( fill ); + parts.push( fill ); + + // 12 spheres of radius edge/2 kiss each other on the edges and all kiss the + // 13th sphere in the centre: closest packing of equal spheres + const sphereRadius = edgeLength / 2; + const sphereMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.water, + metalness: 0.7, + roughness: 0.3, + opacity: 0.8, + transparent: true, + } ); + const spheres = new THREE.Group(); + const sphereGeometry = new THREE.SphereGeometry( sphereRadius, 48, 48 ); + for ( const point of [ centre, ...vertices ] ) { + const sphere = new THREE.Mesh( sphereGeometry, sphereMaterial ); + sphere.position.copy( point ); + sphere.castShadow = true; + spheres.add( sphere ); + } + spheres.visible = params.spheres; + group.add( spheres ); + parts.push( spheres ); +} + +renderMatrix(); + +onUpdate( ( time ) => { + if ( params.spin ) group.rotation.y = time * 0.15; +} ); + +const gui = new GUI(); +gui.add( params, 'scale', 1, 4 ).step( 0.1 ).onChange( renderMatrix ); +gui.add( params, 'edges' ).onChange( ( value ) => { parts[ 0 ].visible = value; } ); +gui.add( params, 'spokes' ).onChange( ( value ) => { parts[ 1 ].visible = value; } ); +gui.add( params, 'fill' ).onChange( ( value ) => { parts[ 2 ].visible = value; } ); +gui.add( params, 'spheres' ).onChange( ( value ) => { parts[ 3 ].visible = value; } ); +gui.add( params, 'spin' ); diff --git a/src/metatron.html b/src/metatron.html new file mode 100644 index 0000000..f79e30b --- /dev/null +++ b/src/metatron.html @@ -0,0 +1,17 @@ + + + + + Metatron's Cube + + + + +
+ + + + diff --git a/src/metatron.js b/src/metatron.js new file mode 100644 index 0000000..855d02d --- /dev/null +++ b/src/metatron.js @@ -0,0 +1,725 @@ + +import * as THREE from 'three'; + +import { OrbitControls } from 'three/addons/controls/OrbitControls.js'; +import { GUI } from 'three/addons/libs/lil-gui.module.min.js'; + + +import './lib/chrome.js'; +import { sceneColors } from './lib/theme.js'; +import { bindWorld } from './lib/transit.js'; + +const colors = sceneColors(); +// the per-solid near-black line colours only read on the light background; +// dark mode swaps them all for the shared light line colour +const lineColor = ( light ) => colors.dark ? colors.line : light; + +// the landing gradient shows through a transparent canvas; all shapes live in +// `world`, which page transitions fly in and out +const scene = new THREE.Scene(); +const world = new THREE.Group(); +scene.add( world ); +const updateWorld = bindWorld( world ); + +const camera = new THREE.PerspectiveCamera( 45, window.innerWidth / window.innerHeight, 0.1, 500 ); +camera.position.z = 12; +camera.position.x = 10; +camera.position.y = 4; + +// debug switches to bisect driver issues: ?noaa disables MSAA, ?noshadow disables shadow maps +const debugFlags = new URLSearchParams( window.location.search ); + +const renderer = new THREE.WebGLRenderer( { antialias: !debugFlags.has( 'noaa' ), alpha: true } ); +renderer.setPixelRatio( Math.min( window.devicePixelRatio, 2 ) ); +renderer.setSize( window.innerWidth, window.innerHeight ); +renderer.shadowMap.enabled = !debugFlags.has( 'noshadow' ); +renderer.shadowMap.type = THREE.PCFSoftShadowMap; +renderer.toneMapping = THREE.ACESFilmicToneMapping; +renderer.toneMappingExposure = 1; +document.body.appendChild( renderer.domElement ); + +window.addEventListener( 'resize', () => { + camera.aspect = window.innerWidth / window.innerHeight; + camera.updateProjectionMatrix(); + renderer.setSize( window.innerWidth, window.innerHeight ); +} ); + +const controls = new OrbitControls( camera, renderer.domElement ); +controls.target.set( -4, 0, 0 ); + + +// const geometry_torus = new THREE.TorusGeometry( 2.5, 2.5, 32, 128 ); +// const material_torus = new THREE.MeshBasicMaterial( { color: 0x049ef4, wireframe: true, wireframeLinewidth: 1} ); +// const torus = new THREE.Mesh( geometry_torus, material_torus ); +// torus.rotation.x = Math.PI / 2; +// torus.castShadow = true; +// world.add( torus ); + +// const icoGeometry = new THREE.IcosahedronGeometry( 5 ); +// const icoMaterial= new THREE.MeshBasicMaterial( {color: 0x049ef4, wireframe: true, wireframeLinewidth: 8 } ); +// const iso = new THREE.Mesh( icoGeometry, icoMaterial ); +// iso.castShadow = true; +// world.add( iso ); + +// --------- Mekaraba ---------- // +// const tetraGeometry = new THREE.TetrahedronGeometry( 2 ); +// const tetraMaterial = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); +// const tetra = new THREE.Mesh( tetraGeometry, tetraMaterial ); +// // tetra.position.y = - 0.81 + +// // tetra.rotation.x = Math.PI / 4 ; +// tetra.rotation.z = Math.PI / 6 ; +// // world.add( tetra ); + +// const tetraEdges = new THREE.EdgesGeometry( tetraGeometry ); +// const tetraEdgesLine = new THREE.LineSegments( tetraEdges, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); +// // tetraEdgesLine.position.y = -0.81 + +// tetraEdgesLine.rotation.x = Math.PI / 4; +// // tetraEdgesLine.rotation.y = Math.PI ; +// // tetraEdgesLine.rotation.y = Math.PI / 6; + +// tetraEdgesLine.castShadow = true; +// world.add( tetraEdgesLine ); + +// const tetraGeometry2 = new THREE.TetrahedronGeometry( 2 ); +// const tetraMaterial2 = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); +// const tetra2 = new THREE.Mesh( tetraGeometry2, tetraMaterial2 ); +// tetra2.position.y = 0.81 +// tetra2.rotation.x = Math.PI / 4 ; +// // tetra2.rotation.y = Math.PI / 4 ; +// tetra2.rotation.z = Math.PI / 4 ; +// // world.add( tetra2 ); + +// const tetraEdges2 = new THREE.EdgesGeometry( tetraGeometry2 ); +// const tetraEdgesLine2 = new THREE.LineSegments( tetraEdges2, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); +// tetraEdgesLine2.castShadow = true; +// tetraEdgesLine2.position.y = 0.81 +// tetraEdgesLine2.rotation.x = Math.PI / 4 ; +// // tetraEdgesLine2.rotation.y = Math.PI / 4 ; +// tetraEdgesLine2.rotation.z = Math.PI / 4 ; +// world.add( tetraEdgesLine2 ); + + +// ---------- David ------------ // +// const tetraGeometry = new THREE.ConeGeometry( 2, 3, 3 ); +// const tetraMaterial = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); +// const tetra = new THREE.Mesh( tetraGeometry, tetraMaterial ); +// tetra.rotation.y = Math.PI / 6 ; +// tetra.position.y = 1 / 2 +// world.add( tetra ); + +// const tetraEdges = new THREE.EdgesGeometry( tetraGeometry ); +// const tetraEdgesLine = new THREE.LineSegments( tetraEdges, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 15 } ) ); +// tetraEdgesLine.rotation.y = Math.PI / 6 ; +// tetraEdgesLine.position.y = 1 / 2 +// tetraEdgesLine.castShadow = true; +// world.add( tetraEdgesLine ); + +// const tetraGeometry2 = new THREE.ConeGeometry( 2, 3, 3 ); +// const tetraMaterial2 = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); +// const tetra2 = new THREE.Mesh( tetraGeometry2, tetraMaterial2 ); +// tetra2.rotation.y = Math.PI + Math.PI / 6 ; +// tetra2.rotation.z = Math.PI; +// tetra2.position.y = - 1 / 2 +// world.add( tetra2 ); + +// const tetraEdges2 = new THREE.EdgesGeometry( tetraGeometry2 ); +// const tetraEdgesLine2 = new THREE.LineSegments( tetraEdges2, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 15 } ) ); +// tetraEdgesLine2.castShadow = true; +// tetraEdgesLine2.rotation.y = Math.PI + Math.PI / 6 ; +// tetraEdgesLine2.rotation.z = Math.PI; +// tetraEdgesLine2.position.y = - 1 / 2 +// world.add( tetraEdgesLine2 ); + +// ---------- Flower of life ------------ // + + +let rotatePoint2D = (cx, cy, angle, px, py) => { + angle = - angle * (Math.PI / 180) + let s = Math.sin(angle); + let c = Math.cos(angle); + + // translate point back to origin: + px -= cx; + py -= cy; + + // rotatePoint3D point + let xnew = px * c + py * s; + let ynew = px * s - py * c; + + // translate point back: + px = xnew + cx; + py = ynew + cy; + return [px, py]; +} + +function rotatePoint3D(px, py, pz, pitch, roll, yaw) { + pitch = - pitch * (Math.PI / 180) + roll = - roll * (Math.PI / 180) + yaw = - yaw * (Math.PI / 180) + + var cosa = Math.cos(yaw); + var sina = Math.sin(yaw); + + var cosb = Math.cos(pitch); + var sinb = Math.sin(pitch); + + var cosc = Math.cos(roll); + var sinc = Math.sin(roll); + + var Axx = cosa*cosb; + var Axy = cosa*sinb*sinc - sina*cosc; + var Axz = cosa*sinb*cosc + sina*sinc; + + var Ayx = sina*cosb; + var Ayy = sina*sinb*sinc + cosa*cosc; + var Ayz = sina*sinb*cosc - cosa*sinc; + + var Azx = -sinb; + var Azy = cosb*sinc; + var Azz = cosb*cosc; + + let x = Axx*px + Axy*py + Axz*pz; + let y = Ayx*px + Ayy*py + Ayz*pz; + let z = Azx*px + Azy*py + Azz*pz; + + return [x, y, z] +} + +// WebGL draws lines at 1px regardless of linewidth, so the shape edges are built +// from real cylinder tubes instead - same 0.03 thickness as the circle tori +function makeEdgeTubes( geometry, color, tubeRadius = 0.03 ) { + const edges = new THREE.EdgesGeometry( geometry ); + const positions = edges.attributes.position; + const group = new THREE.Group(); + const material = new THREE.MeshBasicMaterial( { color } ); + const up = new THREE.Vector3( 0, 1, 0 ); + const start = new THREE.Vector3(); + const end = new THREE.Vector3(); + + for ( let i = 0; i < positions.count; i += 2 ) { + start.fromBufferAttribute( positions, i ); + end.fromBufferAttribute( positions, i + 1 ); + const direction = new THREE.Vector3().subVectors( end, start ); + const length = direction.length(); + + const cylinder = new THREE.CylinderGeometry( tubeRadius, tubeRadius, length, 12 ); + cylinder.translate( 0, length / 2, 0 ); + + const tube = new THREE.Mesh( cylinder, material ); + tube.position.copy( start ); + tube.quaternion.setFromUnitVectors( up, direction.normalize() ); + tube.castShadow = true; + group.add( tube ); + } + + return group; +} + +const params = { + xangle: 45, + yangle: 0, + zangle: 54.72972973, + radius: 1, + tube: 0.015, +}; + +// const params = { +// xangle: 0, +// yangle: 0, +// zangle: 0, +// size: 5, +// radius: 1 +// }; + +let sphere, circleCircum, cube, cubeLines; +let spheres = []; +let spheresLines = []; +let gui; +let solids = []; + +let renderFlower = (radius = 1) => { + spheres = []; + spheresLines = []; + + // tear down the previous render's shapes and GUI so re-rendering never stacks duplicates + if ( gui ) gui.destroy(); + for ( let obj of solids ) world.remove( obj ); + solids = []; + + // 3D fruit of life: a circle on the centre, on every cube corner and on + // every cube edge midpoint (the inner ring of the 2D pattern) + const d = 4 * 0.612 * radius; + const points = [ [ 0, 0, 0 ] ]; + + for ( let sx of [ -1, 1 ] ) { + for ( let sy of [ -1, 1 ] ) { + for ( let sz of [ -1, 1 ] ) { + points.push( [ sx * d, sy * d, sz * d ] ); + } + } + } + + // only the edge midpoints whose coordinates share a sign: the other six sit on + // the projection equator and would add circles between the two rings + for ( let s of [ -1, 1 ] ) { + points.push( [ s * d, s * d, 0 ] ); + points.push( [ s * d, 0, s * d ] ); + points.push( [ 0, s * d, s * d ] ); + } + + const addCircleAt = ( x, y, z, parent ) => { + let xtemp, ytemp, ztemp; + + [xtemp, ytemp, ztemp] = rotatePoint3D(x, y, z, params['yangle'], params['xangle'], params['zangle']) + + let sphereGeometry = new THREE.SphereGeometry( radius, 64, 64 ); + let sphereMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.sphere, + metalness: 0.7, + roughness: 0.3, + opacity: 0.8, + transparent: true + } ); + sphere = new THREE.Mesh( sphereGeometry, sphereMaterial ); + sphere.position.x = xtemp; + sphere.position.y = ytemp; + sphere.position.z = ztemp; + parent.add( sphere ); + + let circleGeometry = new THREE.TorusGeometry( radius, params['tube'], 64, 64 ); + let circleMaterial = new THREE.MeshBasicMaterial( { + color: colors.line, + opacity: 0.1, + transparent: true + } ); + let ring = new THREE.Mesh( circleGeometry, circleMaterial ); + ring.castShadow = true; + ring.rotation.y = Math.PI / 2; + ring.position.x = xtemp; + ring.position.y = ytemp; + ring.position.z = ztemp; + parent.add( ring ); + + circleGeometry = new THREE.TorusGeometry( 0.01, 0.01, 64, 64 ); + circleMaterial = new THREE.MeshBasicMaterial( { + color: colors.line, + opacity: 0.1, + transparent: true + } ); + circleCircum = new THREE.Mesh( circleGeometry, circleMaterial ); + circleCircum.castShadow = true; + circleCircum.rotation.y = Math.PI / 2; + circleCircum.position.x = xtemp; + circleCircum.position.y = ytemp; + circleCircum.position.z = ztemp; + parent.add( circleCircum ); + + sphere.start_x = x; + sphere.start_y = y; + sphere.start_z = z; + ring.start_x = x; + ring.start_y = y; + ring.start_z = z; + circleCircum.start_x = x; + circleCircum.start_y = y; + circleCircum.start_z = z; + + spheres.push(sphere) + spheresLines.push(ring) + spheresLines.push(circleCircum) + }; + + for ( let point of points ) { + addCircleAt( ...point, world ); + } + + // the remaining cube circles: the six equatorial edge midpoints and the six + // face centres, hidden behind the "allCubeCircles" toggle + const extraCircles = new THREE.Group(); + extraCircles.visible = false; + + for ( let s of [ -1, 1 ] ) { + for ( let extraPoint of [ + [ s * d, -s * d, 0 ], [ s * d, 0, -s * d ], [ 0, s * d, -s * d ], + [ s * d, 0, 0 ], [ 0, s * d, 0 ], [ 0, 0, s * d ], + ] ) { + addCircleAt( ...extraPoint, extraCircles ); + } + } + + world.add( extraCircles ); + + // Metatron's web: every circle centre connected to every other one + let web = new THREE.Group(); + const webMaterial = new THREE.MeshBasicMaterial( { color: colors.line, opacity: 0.5, transparent: true } ); + const webUp = new THREE.Vector3( 0, 1, 0 ); + + for ( let i = 0; i < points.length; i++ ) { + for ( let j = i + 1; j < points.length; j++ ) { + const [ ax, ay, az ] = rotatePoint3D( ...points[ i ], params[ 'yangle' ], params[ 'xangle' ], params[ 'zangle' ] ); + const [ bx, by, bz ] = rotatePoint3D( ...points[ j ], params[ 'yangle' ], params[ 'xangle' ], params[ 'zangle' ] ); + const a = new THREE.Vector3( ax, ay, az ); + const b = new THREE.Vector3( bx, by, bz ); + const direction = new THREE.Vector3().subVectors( b, a ); + const length = direction.length(); + + const webTube = params['tube'] * 0.4; + const cylinder = new THREE.CylinderGeometry( webTube, webTube, length, 6 ); + cylinder.translate( 0, length / 2, 0 ); + + const strand = new THREE.Mesh( cylinder, webMaterial ); + strand.position.copy( a ); + strand.quaternion.setFromUnitVectors( webUp, direction.clone().normalize() ); + web.add( strand ); + } + } + + web.visible = false; + world.add( web ); + + // the exact rotation the circle grid uses, as a matrix - solids aligned with + // this coincide with the dots instead of approximating them with tuned angles + const gridRotation = new THREE.Matrix4().makeBasis( + new THREE.Vector3( ...rotatePoint3D( 1, 0, 0, params['yangle'], params['xangle'], params['zangle'] ) ), + new THREE.Vector3( ...rotatePoint3D( 0, 1, 0, params['yangle'], params['xangle'], params['zangle'] ) ), + new THREE.Vector3( ...rotatePoint3D( 0, 0, 1, params['yangle'], params['xangle'], params['zangle'] ) ) + ); + + + // earth - width 2d puts every corner exactly on a corner dot + const boxGeometry = new THREE.BoxGeometry( 2 * d, 2 * d, 2 * d ); + const boxMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.earth, + metalness: 0.7, + roughness: 0.3, + opacity: 0.8, + transparent: true, + // wireframe: true, + } ); + cube = new THREE.Mesh( boxGeometry, boxMaterial ); + cube.setRotationFromMatrix( gridRotation ); + + cubeLines = makeEdgeTubes( boxGeometry, lineColor( 0x1b0a02 ), params['tube'] ); + cubeLines.setRotationFromMatrix( gridRotation ); + cubeLines.castShadow = true; + + world.add( cubeLines ); + world.add( cube ); + + // fire - radius sqrt(3)d puts every vertex exactly on a corner dot + const tetraGeometry = new THREE.TetrahedronGeometry( Math.sqrt( 3 ) * d ) + const tetraMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.fire, + metalness: 0.7, + roughness: 0.3, + opacity: 0.8, + transparent: true + } ); + let tetra = new THREE.Mesh( tetraGeometry, tetraMaterial ); + + let tetraLines = makeEdgeTubes( tetraGeometry, lineColor( 0x140101 ), params['tube'] ); + + + + tetraLines.setRotationFromMatrix( gridRotation ); + tetra.setRotationFromMatrix( gridRotation ); + tetraLines.castShadow = true; + + world.add( tetraLines ); + world.add( tetra ); + + // second tetrahedron of the star tetrahedron (Merkaba): the same shape + // rotated a quarter turn so it interlocks with the first + const tetraGeometry2 = new THREE.TetrahedronGeometry( Math.sqrt( 3 ) * d ); + tetraGeometry2.rotateZ( Math.PI / 2 ); + let tetra2 = new THREE.Mesh( tetraGeometry2, tetraMaterial ); + let tetraLines2 = makeEdgeTubes( tetraGeometry2, lineColor( 0x140101 ), params['tube'] ); + + tetra2.rotation.copy( tetra.rotation ); + tetraLines2.rotation.copy( tetraLines.rotation ); + + world.add( tetraLines2 ); + world.add( tetra2 ); + + // radius 2d puts the projected corners exactly on the outer circle centres + const octaGeometry = new THREE.OctahedronGeometry( 2 * d ) + const octaMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.air, + metalness: 0.7, + roughness: 0.3, + opacity: 0.8, + transparent: true + } ); + let octa = new THREE.Mesh( octaGeometry, octaMaterial ); + + let octaLines = makeEdgeTubes( octaGeometry, lineColor( 0x0a2528 ), params['tube'] ); + + octaLines.setRotationFromMatrix( gridRotation ); + octa.setRotationFromMatrix( gridRotation ); + octaLines.castShadow = true; + + world.add( octaLines ); + world.add( octa ); + + // radius 1.663d puts the projected corners on the outer circle centres + const icosaGeometry = new THREE.IcosahedronGeometry( 1.663 * d ) + const icosaMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.water, + metalness: 0.7, + roughness: 0.3, + opacity: 0.8, + transparent: true + } ); + let icosa = new THREE.Mesh( icosaGeometry, icosaMaterial ); + + let icosaLines = makeEdgeTubes( icosaGeometry, lineColor( 0x000000 ), params['tube'] ); + + // a grid-aligned icosahedron projects its corners 22.2 degrees off the dot + // hexagon, so it gets an extra twist about the view diagonal to meet the dots + const PHI = ( 1 + Math.sqrt( 5 ) ) / 2; + const icosaTwist = Math.PI / 6 - Math.atan( ( PHI + 2 ) / ( Math.sqrt( 3 ) * PHI ) ); + const icosaRotation = new THREE.Matrix4().multiplyMatrices( + gridRotation, + new THREE.Matrix4().makeRotationAxis( new THREE.Vector3( 1, 1, 1 ).normalize(), icosaTwist ) + ); + + icosaLines.setRotationFromMatrix( icosaRotation ); + icosa.setRotationFromMatrix( icosaRotation ); + icosaLines.castShadow = true; + + world.add( icosaLines ); + world.add( icosa ); + + // 2.29 * 1.003: tuned against the circle pattern + const dodecaGeometry = new THREE.DodecahedronGeometry( 2.297 * radius ) + const dodecaMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.aether, + metalness: 0.7, + roughness: 0.3, + opacity: 0.8, + transparent: true + } ); + let dodeca = new THREE.Mesh( dodecaGeometry, dodecaMaterial ); + + let dodecaLines = makeEdgeTubes( dodecaGeometry, lineColor( 0x000000 ), params['tube'] ); + + // aether: a dodecahedron vertex sits on the cube diagonal, so the plain grid + // rotation points a vertex straight at the light and shares the cube's frame, + // with a tuned x-angle on top + dodecaLines.setRotationFromMatrix( gridRotation ); + dodeca.setRotationFromMatrix( gridRotation ); + dodecaLines.rotation.x = 52.25 * (Math.PI / 180); + dodeca.rotation.x = 52.25 * (Math.PI / 180); + dodecaLines.castShadow = true; + + world.add( dodecaLines ); + world.add( dodeca ); + + + // Big circle: visible as a solid tube, same thickness as the shape edges + let circleGeometry = new THREE.TorusGeometry( 5 * radius, params['tube'], 64, 64); + let circleMaterial = new THREE.MeshBasicMaterial( { color: colors.line } ); + circleCircum = new THREE.Mesh( circleGeometry, circleMaterial ); + circleCircum.rotation.y = Math.PI / 2; + circleCircum.castShadow = true; + world.add( circleCircum ); + + solids.push( cube, cubeLines, tetra, tetraLines, tetra2, tetraLines2, octa, octaLines, icosa, icosaLines, dodeca, dodecaLines, circleCircum, web, extraCircles ); + + + gui = new GUI(); + + let guiDict = {}; + + let fire = gui.addFolder('Fire'); + guiDict['fire'] = {'folder': fire, 'object': tetra, 'objectLines': tetraLines}; + + let fire2 = gui.addFolder('Fire 2'); + guiDict['fire2'] = {'folder': fire2, 'object': tetra2, 'objectLines': tetraLines2}; + + let air = gui.addFolder('Air'); + guiDict['air'] = {'folder': air, 'object': octa, 'objectLines': octaLines}; + + let earth = gui.addFolder('Earth'); + guiDict['earth'] = {'folder': earth, 'object': cube, 'objectLines': cubeLines}; + + let water = gui.addFolder('Water'); + guiDict['water'] = {'folder': water, 'object': icosa, 'objectLines': icosaLines}; + + let aether = gui.addFolder('Aether') + guiDict['aether'] = {'folder': aether, 'object': dodeca, 'objectLines': dodecaLines}; + + let circles = gui.addFolder('Circles') + guiDict['circles'] = {'folder': circles}; + + circles.add( { web: false }, 'web' ).onChange( ( value ) => { + web.visible = value; + } ); + + circles.add( { allCubeCircles: false }, 'allCubeCircles' ).onChange( ( value ) => { + extraCircles.visible = value; + } ); + + let folderStandard = { + show: true, + fill: true, + frame: true, + scale: 1, + } + + circles.add( folderStandard, 'show', true).onChange((value) => { + if (value) { + for (let sphere of spheres) { + sphere.visible = true; + } + for (let sphereLine of spheresLines) { + sphereLine.visible = true; + } + } else { + for (let sphere of spheres) { + sphere.visible = false; + } + for (let sphereLine of spheresLines) { + sphereLine.visible = false; + } + } + }); + + for (let fld of Object.keys(guiDict)) { + // guiDict[fld]['folder'].close() + if (fld === "circles") { + continue + } + folderStandard.show = true; + + guiDict[fld]['folder'].add( folderStandard, 'scale', 0, 2 ).step(0.001).onChange( (value) => { + guiDict[fld]['object'].scale.x = value + guiDict[fld]['object'].scale.y = value + guiDict[fld]['object'].scale.z = value + guiDict[fld]['objectLines'].scale.x = value + guiDict[fld]['objectLines'].scale.y = value + guiDict[fld]['objectLines'].scale.z = value + }); + + guiDict[fld]['folder'].add( folderStandard, 'show', true).onChange((value) => { + if (value) { + guiDict[fld]['object'].visible = true; + guiDict[fld]['objectLines'].visible = true; + } else { + guiDict[fld]['object'].visible = false; + guiDict[fld]['objectLines'].visible = false; + } + }); + guiDict[fld]['folder'].add( folderStandard, 'fill', true).onChange((value) => { + if (value) { + guiDict[fld]['object'].visible = true; + } else { + guiDict[fld]['object'].visible = false; + } + }); + guiDict[fld]['folder'].add( folderStandard, 'frame', true).onChange((value) => { + if (value) { + guiDict[fld]['objectLines'].visible = true; + } else { + guiDict[fld]['objectLines'].visible = false; + } + }); + } + + gui.add( params, 'radius', 0.5, 1.5).onChange( (value) => { + for (let sphere of spheres) { + world.remove(sphere) + } + for (let sphereLine of spheresLines) { + world.remove(sphereLine) + } + renderFlower (value) + }); + gui.add( params, 'tube', 0.01, 0.1 ).step( 0.005 ).onChange( () => { + for (let sphere of spheres) { + world.remove(sphere) + } + for (let sphereLine of spheresLines) { + world.remove(sphereLine) + } + renderFlower (params['radius']) + }); + + // ?only= hides the other solids, for + // checking a single shape against the reference + const only = debugFlags.get( 'only' ); + if ( only && guiDict[ only ] ) { + for ( let fld of Object.keys( guiDict ) ) { + if ( fld === only || ! guiDict[ fld ][ 'object' ] ) continue; + guiDict[ fld ][ 'object' ].visible = false; + guiDict[ fld ][ 'objectLines' ].visible = false; + } + } + + gui.close(); +} + +renderFlower() + +// dark mode gets a soft warm ambient so unlit faces keep their colour +if ( colors.dark ) scene.add( new THREE.AmbientLight( colors.light, 0.9 ) ); + +// legacy lighting was removed in three r155: intensities need the old value times pi +const spotLight = new THREE.DirectionalLight( colors.light, 1.5 * Math.PI ); +spotLight.position.set( 10, 0, 0 ); +spotLight.castShadow = true; +spotLight.shadow.mapSize.width = 2048; +spotLight.shadow.mapSize.height = 2048; +spotLight.shadow.camera.far = 21; +spotLight.shadow.camera.left = -10; +spotLight.shadow.camera.right = 10; +spotLight.shadow.camera.top = 10; +spotLight.shadow.camera.bottom = -10; + +// spotLight.shadow.camera.fov = 35; +scene.add( spotLight ); + +// the wall itself is invisible: only the shadow "projection" shows, in light +// orange, floating on the gradient +const planeGeometry = new THREE.PlaneGeometry( 20, 20, 10, 10 ); +const planeMaterial = new THREE.ShadowMaterial( { color: colors.shadow, opacity: 0.9 } ) +const plane = new THREE.Mesh( planeGeometry, planeMaterial ); +plane.rotation.y = Math.PI / 2; +plane.position.x = -10 +plane.receiveShadow = true; +scene.add( plane ); + +//Create a helper for the shadow camera (optional) +// const helper = new THREE.CameraHelper( spotLight.shadow.camera ); +// world.add( helper ); + +// const axesHelper = new THREE.AxesHelper( 40 ); +// world.add( axesHelper ); + + +// var axis = new THREE.Vector3(0, 1, 0); + +function animate () { + requestAnimationFrame( animate ); + + const time = performance.now() / 1000; + + // for (let sphere of spheres) { + // sphere.position.x = Math.cos( time ) * sphere.start_x; + // sphere.position.z = - Math.sin( time ) * sphere.start_z; + // } + + // for (let sphereLine of spheresLines) { + // sphereLine.position.x = Math.cos( time ) * sphereLine.start_x; + // sphereLine.position.z = - Math.sin( time ) * sphereLine.start_z; + // } + + updateWorld(); + controls.update(); + + renderer.render( scene, camera ); +}; + +animate(); \ No newline at end of file diff --git a/src/phyllotaxis.html b/src/phyllotaxis.html new file mode 100644 index 0000000..5c2c847 --- /dev/null +++ b/src/phyllotaxis.html @@ -0,0 +1,17 @@ + + + + + Golden Spiral + + + + +
+ + + + diff --git a/src/phyllotaxis.js b/src/phyllotaxis.js new file mode 100644 index 0000000..c1c0c97 --- /dev/null +++ b/src/phyllotaxis.js @@ -0,0 +1,96 @@ +import * as THREE from 'three'; + +import { GUI } from 'three/addons/libs/lil-gui.module.min.js'; + +import { createStage } from './lib/stage.js'; + +// Phyllotaxis: nature places seeds, leaves and florets one golden angle +// (137.5077...) apart. Nudge the angle a tenth of a degree and the pattern +// collapses into spokes - the irrationality of phi is what packs it perfectly. +const { scene, colors, onUpdate } = createStage(); + +const GOLDEN_ANGLE = 180 * ( 3 - Math.sqrt( 5 ) ); // 137.5077... +const MAX_COUNT = 3000; + +const params = { + count: 800, + angle: GOLDEN_ANGLE, + form: 'sunflower', + grow: false, + spin: true, + resetAngle: () => { + params.angle = GOLDEN_ANGLE; + gui.controllersRecursive().forEach( ( c ) => c.updateDisplay() ); + renderPattern(); + }, +}; + +const group = new THREE.Group(); +// stand the disc up facing the light and camera, like the circle pages +group.rotation.y = Math.PI / 2; +scene.add( group ); + +const material = new THREE.MeshStandardMaterial( { metalness: 0.7, roughness: 0.3 } ); +const mesh = new THREE.InstancedMesh( new THREE.SphereGeometry( 1, 16, 16 ), material, MAX_COUNT ); +mesh.castShadow = true; +group.add( mesh ); + +const dummy = new THREE.Object3D(); +const colour = new THREE.Color(); +const inner = new THREE.Color( colors.fills.aether ); +const outer = new THREE.Color( colors.fills.fire ); + +function renderPattern() { + const n = params.count; + const angle = params.angle * ( Math.PI / 180 ); + + for ( let i = 0; i < n; i++ ) { + const theta = i * angle; + const t = i / ( n - 1 ); + + if ( params.form === 'sunflower' ) { + // r ~ sqrt(i) keeps the seed density constant across the disc + const r = 5 * Math.sqrt( t ); + dummy.position.set( r * Math.cos( theta ), r * Math.sin( theta ), 0 ); + dummy.scale.setScalar( 0.11 ); + } else if ( params.form === 'pinecone' ) { + const r = 3.5 * Math.sqrt( t ); + dummy.position.set( r * Math.cos( theta ), r * Math.sin( theta ), 4 * ( 1 - t ) - 2 ); + dummy.scale.setScalar( 0.13 ); + } else { + // fibonacci sphere: even latitude steps + golden angle in longitude + // spreads points almost perfectly uniformly over a sphere + const y = 1 - 2 * t; + const r = Math.sqrt( Math.max( 0, 1 - y * y ) ); + dummy.position.set( 4 * r * Math.cos( theta ), 4 * r * Math.sin( theta ), 4 * y ); + dummy.scale.setScalar( 0.12 ); + } + + dummy.updateMatrix(); + mesh.setMatrixAt( i, dummy.matrix ); + mesh.setColorAt( i, colour.lerpColors( inner, outer, t ) ); + } + + mesh.count = n; + mesh.instanceMatrix.needsUpdate = true; + mesh.instanceColor.needsUpdate = true; +} + +renderPattern(); + +onUpdate( ( time ) => { + if ( params.spin ) group.rotation.x = time * 0.1; + + if ( params.grow ) { + // seeds appear one by one from the centre, the way the plant grows them + mesh.count = Math.min( params.count, Math.floor( ( time % 30 ) * 100 ) + 1 ); + } +} ); + +const gui = new GUI(); +gui.add( params, 'count', 10, MAX_COUNT ).step( 10 ).onChange( renderPattern ); +gui.add( params, 'angle', 130, 145 ).step( 0.001 ).onChange( renderPattern ); +gui.add( params, 'resetAngle' ).name( 'reset to golden angle' ); +gui.add( params, 'form', [ 'sunflower', 'pinecone', 'sphere' ] ).onChange( renderPattern ); +gui.add( params, 'grow' ).onChange( () => { mesh.count = params.count; } ); +gui.add( params, 'spin' ); diff --git a/src/seed.html b/src/seed.html new file mode 100644 index 0000000..789b91f --- /dev/null +++ b/src/seed.html @@ -0,0 +1,17 @@ + + + + + Seed of Life + + + + +
+ + + + diff --git a/src/seed.js b/src/seed.js index 2a77021..e0d9604 100644 --- a/src/seed.js +++ b/src/seed.js @@ -4,12 +4,19 @@ import * as THREE from 'three'; import { OrbitControls } from 'three/addons/controls/OrbitControls.js'; import { GUI } from 'three/addons/libs/lil-gui.module.min.js'; -import Stats from 'three/addons/libs/stats.module.js'; -import './css/styles.scss'; +import './lib/chrome.js'; +import { sceneColors } from './lib/theme.js'; +import { bindWorld } from './lib/transit.js'; +const colors = sceneColors(); + +// the landing gradient shows through a transparent canvas; all shapes live in +// `world`, which page transitions fly in and out const scene = new THREE.Scene(); -scene.background = new THREE.Color(0xf44f04); +const world = new THREE.Group(); +scene.add( world ); +const updateWorld = bindWorld( world ); const camera = new THREE.PerspectiveCamera( 45, window.innerWidth / window.innerHeight, 0.1, 500 ); @@ -18,7 +25,7 @@ camera.position.x = 10; camera.position.y = 4; -const renderer = new THREE.WebGLRenderer( { antialias: true } ); +const renderer = new THREE.WebGLRenderer( { antialias: true, alpha: true } ); renderer.setPixelRatio( Math.min( window.devicePixelRatio, 2 ) ); renderer.setSize( window.innerWidth, window.innerHeight ); renderer.shadowMap.enabled = true; @@ -42,13 +49,13 @@ controls.target.set( -4, 0, 0 ); // const torus = new THREE.Mesh( geometry_torus, material_torus ); // torus.rotation.x = Math.PI / 2; // torus.castShadow = true; -// scene.add( torus ); +// world.add( torus ); // const icoGeometry = new THREE.IcosahedronGeometry( 5 ); // const icoMaterial= new THREE.MeshBasicMaterial( {color: 0x049ef4, wireframe: true, wireframeLinewidth: 8 } ); // const iso = new THREE.Mesh( icoGeometry, icoMaterial ); // iso.castShadow = true; -// scene.add( iso ); +// world.add( iso ); // --------- Mekaraba ---------- // // const tetraGeometry = new THREE.TetrahedronGeometry( 2 ); @@ -58,7 +65,7 @@ controls.target.set( -4, 0, 0 ); // // tetra.rotation.x = Math.PI / 4 ; // tetra.rotation.z = Math.PI / 6 ; -// // scene.add( tetra ); +// // world.add( tetra ); // const tetraEdges = new THREE.EdgesGeometry( tetraGeometry ); // const tetraEdgesLine = new THREE.LineSegments( tetraEdges, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); @@ -69,7 +76,7 @@ controls.target.set( -4, 0, 0 ); // // tetraEdgesLine.rotation.y = Math.PI / 6; // tetraEdgesLine.castShadow = true; -// scene.add( tetraEdgesLine ); +// world.add( tetraEdgesLine ); // const tetraGeometry2 = new THREE.TetrahedronGeometry( 2 ); // const tetraMaterial2 = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); @@ -78,7 +85,7 @@ controls.target.set( -4, 0, 0 ); // tetra2.rotation.x = Math.PI / 4 ; // // tetra2.rotation.y = Math.PI / 4 ; // tetra2.rotation.z = Math.PI / 4 ; -// // scene.add( tetra2 ); +// // world.add( tetra2 ); // const tetraEdges2 = new THREE.EdgesGeometry( tetraGeometry2 ); // const tetraEdgesLine2 = new THREE.LineSegments( tetraEdges2, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); @@ -87,7 +94,7 @@ controls.target.set( -4, 0, 0 ); // tetraEdgesLine2.rotation.x = Math.PI / 4 ; // // tetraEdgesLine2.rotation.y = Math.PI / 4 ; // tetraEdgesLine2.rotation.z = Math.PI / 4 ; -// scene.add( tetraEdgesLine2 ); +// world.add( tetraEdgesLine2 ); // ---------- David ------------ // @@ -96,14 +103,14 @@ controls.target.set( -4, 0, 0 ); // const tetra = new THREE.Mesh( tetraGeometry, tetraMaterial ); // tetra.rotation.y = Math.PI / 6 ; // tetra.position.y = 1 / 2 -// scene.add( tetra ); +// world.add( tetra ); // const tetraEdges = new THREE.EdgesGeometry( tetraGeometry ); // const tetraEdgesLine = new THREE.LineSegments( tetraEdges, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 15 } ) ); // tetraEdgesLine.rotation.y = Math.PI / 6 ; // tetraEdgesLine.position.y = 1 / 2 // tetraEdgesLine.castShadow = true; -// scene.add( tetraEdgesLine ); +// world.add( tetraEdgesLine ); // const tetraGeometry2 = new THREE.ConeGeometry( 2, 3, 3 ); // const tetraMaterial2 = new THREE.MeshBasicMaterial( {color: 0xffff00 } ); @@ -111,7 +118,7 @@ controls.target.set( -4, 0, 0 ); // tetra2.rotation.y = Math.PI + Math.PI / 6 ; // tetra2.rotation.z = Math.PI; // tetra2.position.y = - 1 / 2 -// scene.add( tetra2 ); +// world.add( tetra2 ); // const tetraEdges2 = new THREE.EdgesGeometry( tetraGeometry2 ); // const tetraEdgesLine2 = new THREE.LineSegments( tetraEdges2, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 15 } ) ); @@ -119,7 +126,7 @@ controls.target.set( -4, 0, 0 ); // tetraEdgesLine2.rotation.y = Math.PI + Math.PI / 6 ; // tetraEdgesLine2.rotation.z = Math.PI; // tetraEdgesLine2.position.y = - 1 / 2 -// scene.add( tetraEdgesLine2 ); +// world.add( tetraEdgesLine2 ); // ---------- Flower of life ------------ // @@ -127,11 +134,11 @@ controls.target.set( -4, 0, 0 ); // const circleMaterial = new THREE.MeshBasicMaterial( { color: 0x049ef4, side: THREE.DoubleSide } ); // const circle = new THREE.Mesh( circleGeometry, circleMaterial ); // circle.castShadow = true; -// scene.add( circle ); +// world.add( circle ); // const circleLine = new THREE.LineSegments( circleGeometry, new THREE.LineBasicMaterial( { color: 0x000000, linewidth: 3 } ) ); // circleLine.castShadow = true; -// scene.add( circleLine ); +// world.add( circleLine ); let rotatePoint = (cx, cy, angle, px, py) => { angle = - angle * (Math.PI / 180) @@ -229,7 +236,7 @@ let renderFlower = (size = 3, radius = 1) => { sphere.position.x = xtemp2; sphere.position.y = ytemp2; sphere.position.z = ztemp2; - scene.add( sphere ); + world.add( sphere ); let circleGeometry = new THREE.TorusGeometry( radius, 0.02, 64, 64 ); let circleMaterial = new THREE.MeshBasicMaterial( { @@ -243,7 +250,7 @@ let renderFlower = (size = 3, radius = 1) => { circleCircum.position.x = xtemp2; circleCircum.position.y = ytemp2; circleCircum.position.z = ztemp2; - scene.add( circleCircum ); + world.add( circleCircum ); sphere.start_x = x; sphere.start_y = y; @@ -269,7 +276,7 @@ let renderFlower = (size = 3, radius = 1) => { circleCircum = new THREE.Mesh( circleGeometry, circleMaterial ); circleCircum.rotation.y = Math.PI / 2; circleCircum.castShadow = true; - scene.add( circleCircum ); + world.add( circleCircum ); } // renderFlower() @@ -293,8 +300,8 @@ for (let x_angle of Array.from(Array(4), (_, i) => 360 / 4 * i)) { console.log(x_angle, z_angle, x, y, z) let sphereGeometry = new THREE.SphereGeometry( 0.5, 64, 64 ); - let sphereMaterial = new THREE.MeshBasicMaterial( { - color: 0x0063e4, + let sphereMaterial = new THREE.MeshBasicMaterial( { + color: colors.fills.sphere, metalness: 1, roughness: 1, opacity: 0.5, @@ -304,11 +311,11 @@ for (let x_angle of Array.from(Array(4), (_, i) => 360 / 4 * i)) { sphere.position.x = x; sphere.position.y = y; sphere.position.z = z; - scene.add( sphere ); + world.add( sphere ); let circleGeometry = new THREE.TorusGeometry( 0.5, 0.01, 64, 64); - let circleMaterial = new THREE.MeshBasicMaterial( { - color: 0x000000, + let circleMaterial = new THREE.MeshBasicMaterial( { + color: colors.line, opacity: 0.1, transparent: true } ); @@ -318,14 +325,17 @@ for (let x_angle of Array.from(Array(4), (_, i) => 360 / 4 * i)) { circleCircum.position.x = x; circleCircum.position.y = y; circleCircum.position.z = z; - scene.add( circleCircum ); + world.add( circleCircum ); } z_count += 1; } } +// dark mode gets a soft warm ambient so unlit faces keep their colour +if ( colors.dark ) scene.add( new THREE.AmbientLight( colors.light, 0.9 ) ); + // legacy lighting was removed in three r155: intensities need the old value times pi -const spotLight = new THREE.DirectionalLight( 0xeaa7a7, 1.5 * Math.PI ); +const spotLight = new THREE.DirectionalLight( colors.light, 1.5 * Math.PI ); spotLight.position.set( 10, 0, 0 ); spotLight.castShadow = true; spotLight.shadow.mapSize.width = 2048; @@ -339,11 +349,12 @@ spotLight.shadow.camera.bottom = -10; // spotLight.shadow.camera.fov = 35; scene.add( spotLight ); -//Create a plane that receives shadows (but does not cast them) +// the wall itself is invisible: only the shadow "projection" shows, in light +// orange, floating on the gradient; front side only so the shapes stay fully +// visible when orbiting behind it const planeGeometry = new THREE.PlaneGeometry( 20, 20, 10, 10 ); -const planeMaterial = new THREE.MeshStandardMaterial( { color: 0xffffff } ) +const planeMaterial = new THREE.ShadowMaterial( { color: colors.shadow, opacity: 0.9 } ) const plane = new THREE.Mesh( planeGeometry, planeMaterial ); -planeMaterial.side = THREE.DoubleSide; plane.rotation.y = Math.PI / 2; plane.position.x = -10 plane.receiveShadow = true; @@ -351,13 +362,13 @@ scene.add( plane ); //Create a helper for the shadow camera (optional) const helper = new THREE.CameraHelper( spotLight.shadow.camera ); -// scene.add( helper ); +// world.add( helper ); const axesHelper = new THREE.AxesHelper( 40 ); -scene.add( axesHelper ); +// scene.add( axesHelper ); // const light = new THREE.HemisphereLight( 0xffffbb, 0x080820, 0.2 ); -// scene.add( light ); +// world.add( light ); // const gui = new GUI(); @@ -390,28 +401,26 @@ scene.add( axesHelper ); // }); // gui.add( params, 'size', 2, 5).step(1).onChange( (value) => { // for (let sphere of spheres) { -// scene.remove(sphere) +// world.remove(sphere) // } // for (let sphereLine of spheresLines) { -// scene.remove(sphereLine) +// world.remove(sphereLine) // } -// scene.remove(circleCircum) +// world.remove(circleCircum) // renderFlower (value, params['radius']) // }); // gui.add( params, 'radius', 0.5, 3).onChange( (value) => { // for (let sphere of spheres) { -// scene.remove(sphere) +// world.remove(sphere) // } // for (let sphereLine of spheresLines) { -// scene.remove(sphereLine) +// world.remove(sphereLine) // } -// scene.remove(circleCircum) +// world.remove(circleCircum) // renderFlower (params['size'], value) // }); // gui.close(); -let stats = new Stats(); -document.body.appendChild( stats.dom ); // var axis = new THREE.Vector3(0, 1, 0); @@ -430,8 +439,8 @@ function animate () { // sphereLine.position.z = - Math.sin( time ) * sphereLine.start_z; // } + updateWorld(); controls.update(); - stats.update(); renderer.render( scene, camera ); }; diff --git a/src/torus.html b/src/torus.html new file mode 100644 index 0000000..c6cd129 --- /dev/null +++ b/src/torus.html @@ -0,0 +1,17 @@ + + + + + Toroidal Field + + + + +
+ + + + diff --git a/src/torus.js b/src/torus.js new file mode 100644 index 0000000..6732a77 --- /dev/null +++ b/src/torus.js @@ -0,0 +1,109 @@ +import * as THREE from 'three'; + +import { GUI } from 'three/addons/libs/lil-gui.module.min.js'; + +import { createStage } from './lib/stage.js'; + +// The torus: the self-sustaining "energy field" form - field lines spiral around +// the surface, through the centre and back around the outside. +const { scene, colors, onUpdate } = createStage(); + +const params = { + radius: 3, + tube: 1.4, + strands: 12, + windings: 4, + surface: true, + spin: true, +}; + +const group = new THREE.Group(); +// face the camera the same way the circle pages do +group.rotation.y = Math.PI / 2; +scene.add( group ); + +let parts = []; +let particles = []; +let curves = []; + +// point on the torus surface: phi around the main axis, theta around the tube +const torusPoint = ( phi, theta, R, r ) => + new THREE.Vector3( + ( R + r * Math.cos( theta ) ) * Math.cos( phi ), + ( R + r * Math.cos( theta ) ) * Math.sin( phi ), + r * Math.sin( theta ) + ); + +function renderTorus() { + for ( const part of parts ) group.remove( part ); + parts = []; + particles = []; + curves = []; + + const R = params.radius; + const r = params.tube; + + const surfaceGeometry = new THREE.TorusGeometry( R, r, 48, 128 ); + const surfaceMaterial = new THREE.MeshStandardMaterial( { + color: colors.fills.fire, + metalness: 0.7, + roughness: 0.3, + opacity: 0.35, + transparent: true, + } ); + // the surface casts no shadow: only the strands project, as outlines + const surface = new THREE.Mesh( surfaceGeometry, surfaceMaterial ); + surface.visible = params.surface; + group.add( surface ); + parts.push( surface ); + + const lineMaterial = new THREE.MeshBasicMaterial( { color: colors.line, opacity: 0.5, transparent: true } ); + const particleMaterial = new THREE.MeshBasicMaterial( { color: colors.fills.aether } ); + const particleGeometry = new THREE.SphereGeometry( 0.08, 16, 16 ); + + // each field line goes once around the main axis while winding `windings` + // times around the tube, each strand offset around the ring + for ( let s = 0; s < params.strands; s++ ) { + const offset = ( s / params.strands ) * Math.PI * 2; + const samples = []; + + for ( let i = 0; i <= 256; i++ ) { + const t = i / 256; + samples.push( torusPoint( t * Math.PI * 2 + offset, t * Math.PI * 2 * params.windings, R, r ) ); + } + + const curve = new THREE.CatmullRomCurve3( samples, true ); + const strand = new THREE.Mesh( new THREE.TubeGeometry( curve, 384, 0.025, 8, true ), lineMaterial ); + strand.castShadow = true; + group.add( strand ); + parts.push( strand ); + curves.push( curve ); + + const particle = new THREE.Mesh( particleGeometry, particleMaterial ); + particle.userData.phase = s / params.strands; + group.add( particle ); + parts.push( particle ); + particles.push( particle ); + } +} + +renderTorus(); + +onUpdate( ( time ) => { + if ( params.spin ) group.rotation.z = time * 0.1; + + for ( let i = 0; i < particles.length; i++ ) { + const t = ( time * 0.05 + particles[ i ].userData.phase ) % 1; + particles[ i ].position.copy( curves[ i ].getPointAt( t ) ); + } +} ); + +const gui = new GUI(); +gui.add( params, 'radius', 1, 5 ).step( 0.1 ).onChange( renderTorus ); +gui.add( params, 'tube', 0.2, 3 ).step( 0.1 ).onChange( renderTorus ); +gui.add( params, 'strands', 1, 32 ).step( 1 ).onChange( renderTorus ); +gui.add( params, 'windings', 1, 12 ).step( 1 ).onChange( renderTorus ); +gui.add( params, 'surface' ).onChange( ( value ) => { + parts[ 0 ].visible = value; +} ); +gui.add( params, 'spin' ); diff --git a/vite.config.js b/vite.config.js new file mode 100644 index 0000000..7ce5dee --- /dev/null +++ b/vite.config.js @@ -0,0 +1,17 @@ +import { resolve } from 'path'; +import { defineConfig } from 'vite'; + +// one html entry per exploration; add new pages here and in src/ +const pages = ['index', 'metatron', 'torus', 'matrix', 'phyllotaxis', 'flower', 'seed']; + +export default defineConfig({ + root: 'src', + base: './', + build: { + outDir: '../build', + emptyOutDir: true, + rollupOptions: { + input: Object.fromEntries(pages.map((page) => [page, resolve(__dirname, `src/${page}.html`)])), + }, + }, +}); diff --git a/webpack.config.js b/webpack.config.js deleted file mode 100644 index 81fe6e7..0000000 --- a/webpack.config.js +++ /dev/null @@ -1,55 +0,0 @@ -const path = require('path'); -const HtmlWebpackPlugin = require('html-webpack-plugin'); - -module.exports = (env) => { - return { - mode: env.mode, - devtool: 'inline-source-map', - devServer: { - static: './dist', - hot: true, - }, - module: { - rules: [ - { - test: /\.css$/i, - use: [ - // Creates `style` nodes from JS strings - "style-loader", - // Translates CSS into CommonJS - "css-loader", - ], - }, - { - test: /\.s[ac]ss$/i, - use: [ - // Creates `style` nodes from JS strings - "style-loader", - // Translates CSS into CommonJS - "css-loader", - // Compiles Sass to CSS - "sass-loader", - ], - }, - { - test: /\.(jpe?g|png|gif|svg)$/i, - type: 'asset/resource', - generator: { - filename: 'public/icons/[name][ext]' - } - } - ], - }, - plugins: [ - new HtmlWebpackPlugin({ - title: 'Thrive', - template: 'src/index.html' - }), - ], - output: { - filename: '[name].bundle.js', - path: path.resolve(__dirname, 'build'), - clean: true, - }, - } -}; 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