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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