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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Diffusion — Particles</title>
<meta name="description" content="Brownian motion diffusion. Concentrated drops of particles spread through random walks, mixing as they go.">
<meta name="author" content="Alexandru DAN">
<meta name="theme-color" content="#050505">
<link rel="canonical" href="https://particles.alexandrudan.com/diffusion.html">
<link rel="icon" type="image/svg+xml" href="favicon.svg">
<!-- Open Graph -->
<meta property="og:type" content="website">
<meta property="og:url" content="https://particles.alexandrudan.com/diffusion.html">
<meta property="og:title" content="Diffusion — Particles">
<meta property="og:description" content="Brownian motion diffusion. Concentrated drops of particles spread through random walks, mixing as they go.">
<meta property="og:image" content="https://particles.alexandrudan.com/og-image.svg">
<meta property="og:site_name" content="Particles">
<!-- Twitter -->
<meta name="twitter:card" content="summary_large_image">
<meta name="twitter:title" content="Diffusion — Particles">
<meta name="twitter:description" content="Brownian motion diffusion. Concentrated drops of particles spread through random walks, mixing as they go.">
<meta name="twitter:image" content="https://particles.alexandrudan.com/og-image.svg">
<style>
* { margin: 0; padding: 0; box-sizing: border-box; }
body { background: #000; overflow: hidden; font-family: 'Courier New', monospace; }
canvas { display: block; }
#controls {
position: fixed;
bottom: 24px;
left: 50%;
transform: translateX(-50%);
display: flex;
gap: 20px;
background: rgba(0,0,0,0.6);
backdrop-filter: blur(12px);
border: 1px solid rgba(255,255,255,0.08);
border-radius: 12px;
padding: 14px 28px;
z-index: 10;
align-items: center;
}
.ctrl-group {
display: flex; flex-direction: column; align-items: center; gap: 4px;
}
.ctrl-group label {
color: rgba(255,255,255,0.4); font-size: 9px;
text-transform: uppercase; letter-spacing: 1.5px;
}
.ctrl-group input[type="range"] {
-webkit-appearance: none; width: 100px; height: 3px;
background: rgba(255,255,255,0.15); border-radius: 2px; outline: none;
}
.ctrl-group input[type="range"]::-webkit-slider-thumb {
-webkit-appearance: none; width: 12px; height: 12px;
border-radius: 50%; background: #fff; cursor: pointer;
}
#info {
position: fixed; top: 24px; left: 28px; z-index: 10;
}
#info h1 {
color: rgba(255,255,255,0.7); font-size: 14px; font-weight: 400;
letter-spacing: 3px; text-transform: uppercase;
}
#info p {
color: rgba(255,255,255,0.25); font-size: 10px;
margin-top: 6px; letter-spacing: 1px;
}
#fps {
position: fixed; top: 24px; right: 28px;
color: rgba(255,255,255,0.2); font-size: 10px;
letter-spacing: 1px; z-index: 10;
}
#back {
position: fixed; top: 24px; left: 50%; transform: translateX(-50%);
z-index: 10;
}
#back a {
color: rgba(255,255,255,0.2); font-size: 9px; text-decoration: none;
letter-spacing: 2px; text-transform: uppercase;
transition: color 0.3s;
}
#back a:hover { color: rgba(255,255,255,0.5); }
.zoom-btn {
width: 32px; height: 32px; border-radius: 50%;
background: rgba(255,255,255,0.06); border: 1px solid rgba(255,255,255,0.12);
color: rgba(255,255,255,0.5); font-size: 18px; cursor: pointer;
display: flex; align-items: center; justify-content: center;
transition: background 0.2s;
font-family: monospace;
}
.zoom-btn:hover { background: rgba(255,255,255,0.12); }
</style>
</head>
<body>
<div id="info">
<h1>Diffusion</h1>
<p id="particle-count"></p>
</div>
<div id="fps"></div>
<div id="back"><a href="index.html">Gallery</a></div>
<div id="controls">
<div class="ctrl-group">
<input type="range" id="speed" min="0.1" max="5" step="0.1" value="1">
<label>Speed</label>
</div>
<div class="ctrl-group">
<input type="range" id="bloom" min="0" max="3" step="0.1" value="0.4">
<label>Bloom</label>
</div>
<div class="ctrl-group">
<input type="range" id="size" min="0.5" max="4" step="0.1" value="1.0">
<label>Size</label>
</div>
<div class="ctrl-group">
<input type="range" id="hueShift" min="0" max="1" step="0.01" value="0">
<label>Hue</label>
</div>
<button class="zoom-btn" id="zoomOut">−</button>
<button class="zoom-btn" id="zoomIn">+</button>
</div>
<script type="importmap">
{
"imports": {
"three": "https://cdn.jsdelivr.net/npm/three@0.160.0/build/three.module.js",
"three/addons/": "https://cdn.jsdelivr.net/npm/three@0.160.0/examples/jsm/"
}
}
</script>
<script type="module">
import * as THREE from 'three';
import { OrbitControls } from 'three/addons/controls/OrbitControls.js';
import { EffectComposer } from 'three/addons/postprocessing/EffectComposer.js';
import { RenderPass } from 'three/addons/postprocessing/RenderPass.js';
import { UnrealBloomPass } from 'three/addons/postprocessing/UnrealBloomPass.js';
import { GPUComputationRenderer } from 'three/addons/misc/GPUComputationRenderer.js';
const WIDTH = 256;
const PARTICLE_COUNT = WIDTH * WIDTH;
// Scene
const scene = new THREE.Scene();
const camera = new THREE.PerspectiveCamera(60, innerWidth / innerHeight, 0.1, 2000);
camera.position.set(0, 5, 22);
const renderer = new THREE.WebGLRenderer({ antialias: false, powerPreference: 'high-performance' });
renderer.setSize(innerWidth, innerHeight);
renderer.setPixelRatio(1);
document.body.appendChild(renderer.domElement);
const orbitControls = new OrbitControls(camera, renderer.domElement);
orbitControls.enableDamping = true;
orbitControls.dampingFactor = 0.05;
orbitControls.autoRotate = true;
orbitControls.autoRotateSpeed = 0.5;
// Post-processing
const composer = new EffectComposer(renderer);
composer.addPass(new RenderPass(scene, camera));
const bloomPass = new UnrealBloomPass(
new THREE.Vector2(innerWidth / 2, innerHeight / 2),
0.4, 0.3, 0.85
);
composer.addPass(bloomPass);
// GPU Computation
const gpuCompute = new GPUComputationRenderer(WIDTH, WIDTH, renderer);
const posTex0 = gpuCompute.createTexture();
// Seed: 4 concentrated clusters at drop positions
function seedTexture(tex) {
const data = tex.image.data;
const dropCenters = [
[-3.0, 2.0, 0.0],
[3.0, 2.0, 0.0],
[0.0, -2.0, 3.0],
[0.0, -2.0, -3.0]
];
for (let i = 0; i < PARTICLE_COUNT; i++) {
const idx = i * 4;
const dropIdx = i % 4;
const center = dropCenters[dropIdx];
data[idx] = center[0] + (Math.random() - 0.5) * 0.5;
data[idx + 1] = center[1] + (Math.random() - 0.5) * 0.5;
data[idx + 2] = center[2] + (Math.random() - 0.5) * 0.5;
data[idx + 3] = dropIdx / 4.0;
}
}
seedTexture(posTex0);
const positionShader = `
uniform vec3 uMouse;
uniform float uMouseActive;
uniform float uDt;
uniform float uSpeed;
uniform float uFrame;
uniform float uTime;
float hash(vec2 p) {
vec3 p3 = fract(vec3(p.xyx) * 0.1031);
p3 += dot(p3, p3.yzx + 33.33);
return fract((p3.x + p3.y) * p3.z);
}
void main() {
vec2 uv = gl_FragCoord.xy / resolution.xy;
vec4 pos = texture2D(texturePosition, uv);
float x = pos.x, y = pos.y, z = pos.z;
// w: which drop (0-3, encoded as 0.0, 0.25, 0.5, 0.75)
float dropId = pos.w;
float dt = uDt * uSpeed;
float t = uTime;
float idx = gl_FragCoord.y * resolution.x + gl_FragCoord.x;
// Cycle: reset drops every 15 seconds
float cycle = 15.0;
float phase = mod(t, cycle);
// Random walk (Brownian motion)
vec2 seed = uv * 1000.0 + uFrame;
float rx = (hash(seed) - 0.5) * 2.0;
float ry = (hash(seed + 100.0) - 0.5) * 2.0;
float rz = (hash(seed + 200.0) - 0.5) * 2.0;
// Diffusion coefficient increases slightly with temperature (time)
float D = 0.8 + phase * 0.02;
x += rx * sqrt(D * dt * 2.0);
y += ry * sqrt(D * dt * 2.0);
z += rz * sqrt(D * dt * 2.0);
// Reset at cycle start: concentrate into 4 drop sources
if (phase < 0.3) {
float dropIdx = floor(mod(idx, 4.0));
dropId = dropIdx / 4.0;
// 4 drop positions
vec3 dropCenter;
if (dropIdx < 1.0) dropCenter = vec3(-3.0, 2.0, 0.0);
else if (dropIdx < 2.0) dropCenter = vec3(3.0, 2.0, 0.0);
else if (dropIdx < 3.0) dropCenter = vec3(0.0, -2.0, 3.0);
else dropCenter = vec3(0.0, -2.0, -3.0);
// Concentrate near drop center
float concentrateFactor = 1.0 - phase / 0.3;
x = mix(x, dropCenter.x + (hash(seed + 300.0) - 0.5) * 0.5, concentrateFactor);
y = mix(y, dropCenter.y + (hash(seed + 400.0) - 0.5) * 0.5, concentrateFactor);
z = mix(z, dropCenter.z + (hash(seed + 500.0) - 0.5) * 0.5, concentrateFactor);
}
// Soft boundary
float r = length(vec3(x, y, z));
if (r > 10.0) {
x *= 10.0 / r * 0.99;
y *= 10.0 / r * 0.99;
z *= 10.0 / r * 0.99;
}
// Mouse attraction
if (uMouseActive > 0.01) {
vec3 toMouse = uMouse - vec3(x, y, z);
float mouseDist = length(toMouse);
float mouseForce = uMouseActive * 0.3 / (mouseDist * mouseDist + 1.0);
x += toMouse.x * mouseForce * dt;
y += toMouse.y * mouseForce * dt;
z += toMouse.z * mouseForce * dt;
}
gl_FragColor = vec4(x, y, z, dropId);
}
`;
const posVar = gpuCompute.addVariable('texturePosition', positionShader, posTex0);
gpuCompute.setVariableDependencies(posVar, [posVar]);
posVar.material.uniforms.uDt = { value: 0.03 };
posVar.material.uniforms.uSpeed = { value: 1.0 };
posVar.material.uniforms.uFrame = { value: 0.0 };
posVar.material.uniforms.uTime = { value: 0.0 };
posVar.material.uniforms.uMouse = { value: new THREE.Vector3(0, 0, -1000) };
posVar.material.uniforms.uMouseActive = { value: 0.0 };
posVar.wrapS = THREE.RepeatWrapping;
posVar.wrapT = THREE.RepeatWrapping;
const err = gpuCompute.init();
if (err !== null) console.error('GPU Computation init error:', err);
// Particle Rendering
const vertexShader = `
uniform sampler2D uPositionTexture;
uniform float uHueShift;
uniform float uPointSize;
uniform float uScale;
attribute vec2 aTexCoord;
varying vec3 vColor;
vec3 hsl2rgb(float h, float s, float l) {
float c = (1.0 - abs(2.0 * l - 1.0)) * s;
float h6 = h * 6.0;
float x = c * (1.0 - abs(mod(h6, 2.0) - 1.0));
float m = l - c * 0.5;
vec3 rgb;
if (h6 < 1.0) rgb = vec3(c, x, 0.0);
else if (h6 < 2.0) rgb = vec3(x, c, 0.0);
else if (h6 < 3.0) rgb = vec3(0.0, c, x);
else if (h6 < 4.0) rgb = vec3(0.0, x, c);
else if (h6 < 5.0) rgb = vec3(x, 0.0, c);
else rgb = vec3(c, 0.0, x);
return rgb + m;
}
void main() {
vec4 posData = texture2D(uPositionTexture, aTexCoord);
vec3 pos = posData.xyz * uScale;
float dropId = posData.w;
// 4 distinct hues: red, green, blue, yellow
float hue = fract(dropId + uHueShift);
float saturation = 0.7;
float lightness = 0.12 + 0.18;
vColor = hsl2rgb(hue, saturation, lightness);
vec4 mvPosition = modelViewMatrix * vec4(pos, 1.0);
gl_PointSize = uPointSize * (55.0 / -mvPosition.z);
gl_PointSize = max(gl_PointSize, 0.3);
gl_Position = projectionMatrix * mvPosition;
}
`;
const fragmentShader = `
varying vec3 vColor;
void main() {
float d = length(gl_PointCoord - 0.5) * 2.0;
if (d > 1.0) discard;
// Soft gaussian falloff with bright core
float glow = exp(-d * d * 3.0);
float core = exp(-d * d * 12.0);
float alpha = (glow * 0.15 + core * 0.3);
// Slight color boost at core (hotter center)
vec3 col = vColor + core * 0.15;
gl_FragColor = vec4(col, alpha);
}
`;
const geometry = new THREE.BufferGeometry();
const texCoords = new Float32Array(PARTICLE_COUNT * 2);
for (let j = 0; j < WIDTH; j++) {
for (let i = 0; i < WIDTH; i++) {
const idx = (j * WIDTH + i) * 2;
texCoords[idx] = (i + 0.5) / WIDTH;
texCoords[idx + 1] = (j + 0.5) / WIDTH;
}
}
const dummyPositions = new Float32Array(PARTICLE_COUNT * 3);
geometry.setAttribute('position', new THREE.BufferAttribute(dummyPositions, 3));
geometry.setAttribute('aTexCoord', new THREE.BufferAttribute(texCoords, 2));
const material = new THREE.ShaderMaterial({
vertexShader,
fragmentShader,
uniforms: {
uPositionTexture: { value: null },
uHueShift: { value: 0.0 },
uPointSize: { value: 1.0 },
uScale: { value: 1.2 },
},
transparent: true,
blending: THREE.AdditiveBlending,
depthWrite: false,
});
const points = new THREE.Points(geometry, material);
const pivot = new THREE.Group(); pivot.add(points); scene.add(pivot);
// UI
document.getElementById('particle-count').textContent =
`${PARTICLE_COUNT.toLocaleString()} particles — fully GPU computed`;
const speedSlider = document.getElementById('speed');
const bloomSlider = document.getElementById('bloom');
const sizeSlider = document.getElementById('size');
const hueSlider = document.getElementById('hueShift');
const fpsEl = document.getElementById('fps');
document.getElementById('zoomIn').addEventListener('click', () => {
material.uniforms.uScale.value *= 1.15;
});
document.getElementById('zoomOut').addEventListener('click', () => {
material.uniforms.uScale.value *= 0.85;
});
// Mouse interaction
const mouse = new THREE.Vector2();
const mouse3D = new THREE.Vector3();
const raycaster = new THREE.Raycaster();
let mouseActive = false;
renderer.domElement.addEventListener('mousemove', (e) => {
mouse.x = (e.clientX / innerWidth) * 2 - 1;
mouse.y = -(e.clientY / innerHeight) * 2 + 1;
mouseActive = true;
raycaster.setFromCamera(mouse, camera);
mouse3D.copy(raycaster.ray.direction).multiplyScalar(15).add(camera.position);
});
renderer.domElement.addEventListener('mouseleave', () => { mouseActive = false; });
// Animation Loop
let lastTime = performance.now();
let frameCount = 0;
function animate(now) {
requestAnimationFrame(animate);
frameCount++;
if (now - lastTime >= 1000) {
fpsEl.textContent = `${frameCount} FPS`;
frameCount = 0;
lastTime = now;
}
posVar.material.uniforms.uSpeed.value = parseFloat(speedSlider.value);
posVar.material.uniforms.uFrame.value += 1.0;
posVar.material.uniforms.uTime.value += 0.016 * parseFloat(speedSlider.value);
bloomPass.strength = parseFloat(bloomSlider.value);
material.uniforms.uHueShift.value = parseFloat(hueSlider.value);
material.uniforms.uPointSize.value = parseFloat(sizeSlider.value);
// Update mouse uniforms
if (mouseActive) {
posVar.material.uniforms.uMouse.value.copy(mouse3D);
posVar.material.uniforms.uMouseActive.value = 1.0;
} else {
posVar.material.uniforms.uMouseActive.value *= 0.95;
}
gpuCompute.compute();
material.uniforms.uPositionTexture.value =
gpuCompute.getCurrentRenderTarget(posVar).texture;
pivot.rotation.x += 0.0008;
orbitControls.update();
composer.render();
}
animate(performance.now());
// Resize
window.addEventListener('resize', () => {
camera.aspect = innerWidth / innerHeight;
camera.updateProjectionMatrix();
renderer.setSize(innerWidth, innerHeight);
composer.setSize(innerWidth, innerHeight);
});
</script>
<script src="shared-ui.js"></script>
</body>
</html>