Created
June 25, 2023 20:44
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This HTML file contains JavaScript code that generates a Sierpinski Gasket with 5 iterations of triangles.
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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>Sierpinski Gasket with JavaScript</title> | |
<style> | |
.small { fill: none; stroke: black; stroke-width: 1; } | |
</style> | |
</head> | |
<body> | |
<svg id="sierpinskiSVG" xmlns="http://www.w3.org/2000/svg" width="600" height="600" viewBox="0 0 600 600"></svg> | |
<script> | |
const svg = document.getElementById('sierpinskiSVG'); | |
function drawTriangle(x, y, size) { | |
const halfSize = size / 2; | |
const points = [ | |
[x, y], | |
[x + size, y], | |
[x + halfSize, y + (Math.sqrt(3) * halfSize)], | |
]; | |
const polygon = document.createElementNS("http://www.w3.org/2000/svg", "polygon"); | |
polygon.setAttribute('points', points.map(p => p.join(',')).join(' ')); | |
polygon.setAttribute('class', 'small'); | |
svg.appendChild(polygon); | |
} | |
function sierpinski(x, y, size, iterations) { | |
if (iterations === 0) { | |
drawTriangle(x, y, size); | |
} else { | |
const newSize = size / 2; | |
sierpinski(x, y, newSize, iterations - 1); | |
sierpinski(x + newSize, y, newSize, iterations - 1); | |
sierpinski(x + newSize / 2, y + (Math.sqrt(3) * newSize / 2), newSize, iterations - 1); | |
} | |
} | |
sierpinski(0, 0, 600, 5); | |
</script> | |
</body> | |
</html> | |
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