index.html

<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Polar Equation Animation</title>
    <style>
        body {
            backdrop-filter: blur(20px);
            display: flex;
            justify-content: center;
            align-items: center;
            height: 100vh;
            background: black;
            overflow: hidden;
        }
        canvas {
            border: 1px solid white;
        }
    </style>
</head>
<body>
    <canvas id="canvas"></canvas>
    <script>
        const canvas = document.getElementById("canvas");
        const ctx = canvas.getContext("2d");
        let theta = 0; // Moved initialization before calling resizeCanvas

        function resizeCanvas() {
            canvas.width = window.innerWidth;
            canvas.height = window.innerHeight;
            drawPolarEquation(theta);
        }
        
        window.addEventListener('resize', resizeCanvas);
        
        resizeCanvas();

        function drawPolarEquation(progress) {
            ctx.clearRect(0, 0, canvas.width, canvas.height);
            ctx.translate(canvas.width / 2, canvas.height / 2);
            ctx.scale(70, -70);
            ctx.lineWidth = 0.02;
            ctx.strokeStyle = `hsl(${progress * 360}, 100%, 50%)`;
            ctx.shadowBlur = 40;
            ctx.shadowColor = `hsl(${progress * 360}, 100%, 50%)`;
            ctx.beginPath();

            for (let t = 0; t <= progress * Math.PI * 2; t += 0.01) {
                let r = Math.exp(Math.cos(t)) - 2 * Math.cos(4 * t) - Math.pow(Math.sin(t / 12), 5);
                let x = r * Math.sin(t); // Swap x and y to make it vertical
                let y = r * Math.cos(t);
                ctx.lineTo(x, y);
            }

            ctx.stroke();
            ctx.resetTransform();
        }

        function animate() {
            theta += 0.002;
            if (theta > 1) {
                theta = 1;
            }
            ctx.clearRect(0, 0, canvas.width, canvas.height);
            drawPolarEquation(theta);
            if (theta < 1) {
                requestAnimationFrame(animate);
            } else {
                setInterval(() => {
                    theta += 1;
                    if (theta > 360) theta = 0;
                    drawPolarEquation(Math.random());
                    if (theta > 360) theta = 0;
                    drawPolarEquation(1);
                }, 100);
            }
        }
        
        animate();
    </script>
</body>
</html>