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3.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>My first three.js app</title>
<style>
body { margin: 0; }
canvas { display: block; }
</style>
</head>
<body>
<!-- Please download file "three.min.js" from https://raw.githubusercontent.com/mrdoob/three.js/dev/build/three.min.js -->
<script src="./three.min.js"></script>
<!-- Please download file "OrbitControls.js" from https://raw.githubusercontent.com/mrdoob/three.js/dev/examples/js/controls/OrbitControls.js -->
<script src="./OrbitControls.js"></script>
<script>
var scene, renderer, camera, controls;
var turtle_x = 0, turtle_y = 0, turtle_z = 0;
var turtle_dx = 0, turtle_dy = 0, turtle_dz = 0;
var pen_on = true;
function add_line(x0, y0, z0, x1, y1, z1) {
var points = [];
points.push(new THREE.Vector3(x0, y0, z0));
points.push(new THREE.Vector3(x1, y1, z1));
var geometry = new THREE.BufferGeometry().setFromPoints(points);
var material = new THREE.LineBasicMaterial({ color: 0xffffff });
var line = new THREE.Line(geometry, material);
scene.add(line);
}
function set_pos(x, y, z) {
turtle_x = x;
turtle_y = y;
turtle_z = z;
}
function set_dir(dx, dy, dz) {
r = Math.sqrt(dx*dx + dy*dy + dz*dz);
turtle_dx = dx / r;
turtle_dy = dy / r;
turtle_dz = dz / r;
}
function walk(delta) {
var x0 = turtle_x, y0 = turtle_y, z0 = turtle_z;
turtle_x += delta * turtle_dx;
turtle_y += delta * turtle_dy;
turtle_z += delta * turtle_dz;
if (pen_on)
add_line(x0, y0, z0, turtle_x, turtle_y, turtle_z);
}
function turn_dir(dx, dy, dz) {
// Ignoring dz.
// (a + b*i) * (c + d*i) == (a*c - b*d) + (b*c + d*a).
// a == dx0, b == dy0, c == dx, d == dy.
var dx0 = turtle_dx, dy0 = turtle_dy, dz0 = turtle_dz;
turtle_dx = dx0 * dx - dy0 * dy;
turtle_dy = dy0 * dx + dy * dx0;
}
function turn_angle(angle) {
turn_dir(Math.cos(angle * Math.PI / 180), Math.sin(angle * Math.PI / 180), 0);
}
function init() {
renderer = new THREE.WebGLRenderer();
renderer.setSize(window.innerWidth, window.innerHeight);
document.body.appendChild(renderer.domElement);
camera = new THREE.PerspectiveCamera(45, window.innerWidth / window.innerHeight, 1, 500);
camera.position.set(0, 0, 100);
camera.lookAt(0, 0, 0);
controls = new THREE.OrbitControls(camera, renderer.domElement);
controls.enableDamping = true;
controls.dampingFactor = 0.25;
controls.enableZoom = true;
controls.autoRotate = true;
scene = new THREE.Scene();
scene.add(new THREE.AxisHelper(50));
}
function koch(degree, step) {
if (degree == 0) {
walk(step);
} else {
koch(degree - 1, step/3);
turn_angle(60);
koch(degree - 1, step/3);
turn_angle(-120);
koch(degree - 1, step/3);
turn_angle(60);
koch(degree - 1, step/3);
}
}
function draw() {
set_pos(0, 0, 0);
set_dir(100, 0, 0);
koch(6, 75);
}
function animate() {
controls.update();
requestAnimationFrame(animate);
renderer.render(scene, camera);
}
init();
draw();
animate();
</script>
</body>
</html>