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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>Infinite Zooming Fractal</title>
    <style>
        body {
            margin: 0;
            overflow: hidden;
        }
        canvas {
            display: block;
        }
    </style>
</head>
<body>
    <canvas id="fractalCanvas"></canvas>

    <script>
        const canvas = document.getElementById('fractalCanvas');
        const ctx = canvas.getContext('2d');

        // Set canvas size
        canvas.width = window.innerWidth;
        canvas.height = window.innerHeight;

        // Set initial parameters
        const centerX = -0.5;
        const centerY = 0;
        const initialZoom = 2;
        let zoom = initialZoom;

        // Function to draw the Mandelbrot set
        function drawMandelbrot() {
            for (let x = 0; x < canvas.width; x++) {
                for (let y = 0; y < canvas.height; y++) {
                    const zx = 1.5 * (x - canvas.width / 2) / (0.5 * zoom * canvas.width) + centerX;
                    const zy = (y - canvas.height / 2) / (0.5 * zoom * canvas.height) + centerY;
                    let zx2 = zx;
                    let zy2 = zy;
                    let iteration = 0;

                    while (iteration < 100 && zx2 + zy2 < 4) {
                        const temp = zx2 * zx2 - zy2 * zy2 + zx;
                        zy2 = 2 * zx2 * zy2 + zy;
                        zx2 = temp;
                        iteration++;
                    }

                    const color = iteration === 100 ? 'black' : `hsl(${iteration * 3}, 100%, 50%)`;

                    ctx.fillStyle = color;
                    ctx.fillRect(x, y, 1, 1);
                }
            }
        }

        // Function to handle zooming
        function handleZoom(event) {
            const scale = event.deltaY > 0 ? 1.1 : 0.9;
            zoom *= scale;
            drawMandelbrot();
        }

        // Add event listener for zooming
        canvas.addEventListener('wheel', handleZoom);

        // Initial drawing
        drawMandelbrot();
    </script>
</body>
</html>