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Last active March 22, 2024 19:05
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Three.js Mandelbrot Demo
<!DOCTYPE html>
<html>
<head>
<script src="//cdnjs.cloudflare.com/ajax/libs/three.js/r67/three.min.js"></script>
</head>
<body>
<script id="mandelbrot-vertex" type="x-shader/x-vertex">
precision highp float;
uniform float zoom;
varying vec2 pos;
void main () {
pos = position.xy * zoom;
gl_Position = projectionMatrix * modelViewMatrix * vec4(position, 1.0);
}
</script>
<script id="mandelbrot-fragment" type="x-shader/x-fragment">
precision highp float;
varying vec2 pos;
void main () {
vec2 fractal = pos;
for (int i = 0; i < 20; i++) {
fractal = pos + vec2(
fractal.x * fractal.x - fractal.y * fractal.y,
2.0 * fractal.x * fractal.y
);
// interpolate fractal color over position
gl_FragColor = vec4(fractal, 0, 1);
// if outside of fractal, use black
if (length(fractal) > 1.5) {
gl_FragColor = vec4(0, 0, 0, 1);
}
}
}
</script>
<script type="text/javascript">
var width = window.innerWidth;
var height = window.innerHeight;
var scene = new THREE.Scene();
var camera = new THREE.PerspectiveCamera(75, width / height, 0.1, 1000);
camera.position.z = 1;
// create canvas
var renderer = new THREE.WebGLRenderer();
renderer.setSize(width, height);
document.body.appendChild(renderer.domElement);
// create mandelbrot mesh
var geometry = new THREE.PlaneGeometry(2, 2, 0);
var material = new THREE.ShaderMaterial({
uniforms: {
zoom: { type: 'f', value: 0.05 }
},
vertexShader: document.getElementById('mandelbrot-vertex').innerHTML,
fragmentShader: document.getElementById('mandelbrot-fragment').innerHTML
});
var mesh = new THREE.Mesh(geometry, material);
scene.add(mesh);
function render (delta) {
requestAnimationFrame(render);
mesh.material.uniforms.zoom.value = Math.cos(delta / 500) + 1.5;
renderer.render(scene, camera);
}
render();
</script>
</body>
</html>
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