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| import Feature from 'ol/Feature.js'; import LineString from 'ol/geom/LineString.js'; import Map from 'ol/Map.js'; import VectorLayer from 'ol/layer/Vector.js'; import VectorSource from 'ol/source/Vector.js'; import View from 'ol/View.js';
const radius = 10e6; const cos30 = Math.cos(Math.PI / 6); const sin30 = Math.sin(Math.PI / 6); const rise = radius * sin30; const run = radius * cos30;
const triangle = new LineString([ [0, radius], [run, -rise], [-run, -rise], [0, radius], ]);
const feature = new Feature(triangle);
const layer = new VectorLayer({ source: new VectorSource({ features: [feature], }), });
const map = new Map({ layers: [layer], target: 'map', view: new View({ center: [0, 0], zoom: 1, }), });
function makeFractal(depth) { const geometry = triangle.clone(); const graph = coordsToGraph(geometry.getCoordinates()); for (let i = 0; i < depth; ++i) { let node = graph; while (node.next) { const next = node.next; injectNodes(node); node = next; } } const coordinates = graphToCoords(graph); document.getElementById('count').innerHTML = coordinates.length; geometry.setCoordinates(coordinates); feature.setGeometry(geometry); }
function injectNodes(startNode) { const endNode = startNode.next;
const start = startNode.point; const end = startNode.next.point; const dx = end[0] - start[0]; const dy = end[1] - start[1];
const firstNode = { point: [start[0] + dx / 3, start[1] + dy / 3], };
const r = Math.sqrt(dx * dx + dy * dy) / (2 * cos30); const a = Math.atan2(dy, dx) + Math.PI / 6; const secondNode = { point: [start[0] + r * Math.cos(a), start[1] + r * Math.sin(a)], };
const thirdNode = { point: [end[0] - dx / 3, end[1] - dy / 3], };
startNode.next = firstNode; firstNode.next = secondNode; secondNode.next = thirdNode; thirdNode.next = endNode; }
function coordsToGraph(coordinates) { const graph = { point: coordinates[0], }; const length = coordinates.length; for (let level = 0, node = graph; level < length - 1; ++level) { node.next = { point: coordinates[level + 1], }; node = node.next; } return graph; }
function graphToCoords(graph) { const coordinates = [graph.point]; for (let node = graph, i = 1; node.next; node = node.next, ++i) { coordinates[i] = node.next.point; } return coordinates; }
const depthInput = document.getElementById('depth');
function update() { makeFractal(Number(depthInput.value)); }
let updateTimer;
depthInput.onchange = function () { window.clearTimeout(updateTimer); updateTimer = window.setTimeout(update, 200); };
update();
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