Epilepsy_Test/stringtheory.html at main · alexanderdfox/Epilepsy_Test · GitHub

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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, user-scalable=no">
	<title>String Theory Animation with 3D Hypercube Cursor</title>
	<style>
		body, html {
			margin: 0;
			padding: 0;
			height: 100%;
			background-color: white;
			overflow: hidden;
			cursor: none; /* Hide the default cursor */
			touch-action: none; /* Prevent default touch behavior */
		}

		canvas {
			display: block;
			width: 100%;
			height: 100%;
			background-color: white;
		}
	</style>
</head>
<body>
	<canvas id="stringCanvas"></canvas>

	<script>
		// Canvas setup
		const canvas = document.getElementById('stringCanvas');
		const ctx = canvas.getContext('2d');
		canvas.width = window.innerWidth;
		canvas.height = window.innerHeight;

		// Constants for strings
		const numStrings = 50;
		const stringLength = 100;
		const maxAmplitude = 50;
		let focalLength = 400;

		// Array to hold strings
		let strings = generateStrings();

		// Rotation angles
		let rotationAngleX = 0;
		let rotationAngleY = 0;
		let rotationAngleZ = 0;

		// Mouse and touch position
		let mouseX = canvas.width / 2;
		let mouseY = canvas.height / 2;

		// Hypercube settings
		let hypercubeRotation = 0;
		const hypercubeSize = 50;
		const innerHypercubeSize = 25;

		// Interaction variables
		let isDragging = false;
		let lastMouseX = 0;
		let lastMouseY = 0;
		let pinchStartDistance = 0;
		let pinchStartFocalLength = focalLength;

		// Function to generate initial strings
		function generateStrings() {
			const strings = [];
			for (let i = 0; i < numStrings; i++) {
				let string = [];
				for (let j = 0; j < stringLength; j++) {
					string.push({
						x: (Math.random() - 0.5) * canvas.width,
						y: (Math.random() - 0.5) * canvas.height,
						z: (Math.random() - 0.5) * 1000,
						phase: Math.random() * Math.PI * 2
					});
				}
				strings.push(string);
			}
			return strings;
		}

		// Function to rotate a point in 3D
		function rotatePoint(point, angleX, angleY, angleZ) {
			let { x, y, z } = point;

			// Rotate around X-axis
			let tempY = y * Math.cos(angleX) - z * Math.sin(angleX);
			let tempZ = y * Math.sin(angleX) + z * Math.cos(angleX);
			y = tempY;
			z = tempZ;

			// Rotate around Y-axis
			let tempX = x * Math.cos(angleY) + z * Math.sin(angleY);
			tempZ = -x * Math.sin(angleY) + z * Math.cos(angleY);
			x = tempX;
			z = tempZ;

			// Rotate around Z-axis
			tempX = x * Math.cos(angleZ) - y * Math.sin(angleZ);
			tempY = x * Math.sin(angleZ) + y * Math.cos(angleZ);
			x = tempX;
			y = tempY;

			return { x, y, z };
		}

		// Function to project 3D point to 2D
		function project(point) {
			const scale = focalLength / (focalLength + point.z);
			return {
				x: canvas.width / 2 + point.x * scale,
				y: canvas.height / 2 + point.y * scale
			};
		}

		// Draw function
		function draw() {
			ctx.clearRect(0, 0, canvas.width, canvas.height);

			ctx.strokeStyle = 'rgba(0, 0, 0, 0.7)';

			strings.forEach(string => {
				ctx.beginPath();
				for (let i = 0; i < string.length; i++) {
					string[i].y += Math.sin(string[i].phase + Date.now() * 0.002) * maxAmplitude * 0.01;
					string[i].phase += 0.05;

					const rotatedPoint = rotatePoint(string[i], rotationAngleX, rotationAngleY, rotationAngleZ);
					const projectedPoint = project(rotatedPoint);

					if (i === 0) {
						ctx.moveTo(projectedPoint.x, projectedPoint.y);
					} else {
						ctx.lineTo(projectedPoint.x, projectedPoint.y);
					}
				}
				ctx.stroke();
			});

			drawHypercube(mouseX-(canvas.width/2), mouseY-(canvas.height/2)); // Use mouse position for the hypercube

			requestAnimationFrame(draw);
		}

		// Function to draw a 3D hypercube as the cursor
		function drawHypercube(x, y) {
			ctx.strokeStyle = 'rgba(255, 255, 255, 1)';
			const outerSize = hypercubeSize;
			const innerSize = innerHypercubeSize;

			// Define the points of the outer and inner cubes
			const outerPoints = [
				{ x: -outerSize, y: -outerSize, z: -outerSize },
				{ x: outerSize, y: -outerSize, z: -outerSize },
				{ x: outerSize, y: outerSize, z: -outerSize },
				{ x: -outerSize, y: outerSize, z: -outerSize },
				{ x: -outerSize, y: -outerSize, z: outerSize },
				{ x: outerSize, y: -outerSize, z: outerSize },
				{ x: outerSize, y: outerSize, z: outerSize },
				{ x: -outerSize, y: outerSize, z: outerSize }
			];

			const innerPoints = [
				{ x: -innerSize, y: -innerSize, z: -innerSize },
				{ x: innerSize, y: -innerSize, z: -innerSize },
				{ x: innerSize, y: innerSize, z: -innerSize },
				{ x: -innerSize, y: innerSize, z: -innerSize },
				{ x: -innerSize, y: -innerSize, z: innerSize },
				{ x: innerSize, y: -innerSize, z: innerSize },
				{ x: innerSize, y: innerSize, z: innerSize },
				{ x: -innerSize, y: innerSize, z: innerSize }
			];

			// Rotate the points for both cubes
			const rotatedOuterPoints = outerPoints.map(point => rotatePoint(point, hypercubeRotation, hypercubeRotation, hypercubeRotation));
			const rotatedInnerPoints = innerPoints.map(point => rotatePoint(point, hypercubeRotation, hypercubeRotation, hypercubeRotation));

			// Project the points to 2D
			const projectedOuterPoints = rotatedOuterPoints.map(point => project(point));
			const projectedInnerPoints = rotatedInnerPoints.map(point => project(point));

			// Draw the edges for both cubes
			const edges = [
				[0, 1], [1, 2], [2, 3], [3, 0],
				[4, 5], [5, 6], [6, 7], [7, 4],
				[0, 4], [1, 5], [2, 6], [3, 7]
			];

			// Outer cube edges
			ctx.beginPath();
			edges.forEach(edge => {
				const [start, end] = edge;
				ctx.moveTo(projectedOuterPoints[start].x + x, projectedOuterPoints[start].y + y);
				ctx.lineTo(projectedOuterPoints[end].x + x, projectedOuterPoints[end].y + y);
			});
			ctx.stroke();

			// Inner cube edges
			ctx.beginPath();
			edges.forEach(edge => {
				const [start, end] = edge;
				ctx.moveTo(projectedInnerPoints[start].x + x, projectedInnerPoints[start].y + y);
				ctx.lineTo(projectedInnerPoints[end].x + x, projectedInnerPoints[end].y + y);
			});
			ctx.stroke();

			// Connect corresponding points of inner and outer cubes
			for (let i = 0; i < 4; i++) {
				ctx.beginPath();
				ctx.moveTo(projectedOuterPoints[i].x + x, projectedOuterPoints[i].y + y);
				ctx.lineTo(projectedInnerPoints[i].x + x, projectedInnerPoints[i].y + y);
				ctx.stroke();
			}
			for (let i = 4; i < 8; i++) {
				ctx.beginPath();
				ctx.moveTo(projectedOuterPoints[i].x + x, projectedOuterPoints[i].y + y);
				ctx.lineTo(projectedInnerPoints[i].x + x, projectedInnerPoints[i].y + y);
				ctx.stroke();
			}

			hypercubeRotation += 0.02; // Rotation speed for the hypercube
		}

		// Mouse event listeners
		canvas.addEventListener('mousemove', (e) => {
			mouseX = e.clientX;
			mouseY = e.clientY;

			if (isDragging) {
				let deltaX = e.clientX - lastMouseX;
				let deltaY = e.clientY - lastMouseY;
				rotationAngleY += deltaX * 0.002;
				rotationAngleX += deltaY * 0.002;
				lastMouseX = e.clientX;
				lastMouseY = e.clientY;
			}
		});

		canvas.addEventListener('mousedown', (e) => {
			isDragging = true;
			lastMouseX = e.clientX;
			lastMouseY = e.clientY;
		});

		canvas.addEventListener('mouseup', () => {
			isDragging = false;
		});

		// Zoom with scroll wheel
		canvas.addEventListener('wheel', (e) => {
			if (e.deltaY < 0) {
				focalLength *= 1.1;
			} else {
				focalLength /= 1.1;
			}
		});

		// Resize the canvas
		window.addEventListener('resize', () => {
			canvas.width = window.innerWidth;
			canvas.height = window.innerHeight;
		});

		// Touch event listeners for zoom and rotate
		canvas.addEventListener('touchstart', (e) => {
			if (e.touches.length === 1) {
				isDragging = true;
				lastMouseX = e.touches[0].clientX;
				lastMouseY = e.touches[0].clientY;
			} else if (e.touches.length === 2) {
				const dist = getDistance(e.touches[0], e.touches[1]);
				pinchStartDistance = dist;
				pinchStartFocalLength = focalLength;
			}
		});

		canvas.addEventListener('touchmove', (e) => {
			if (e.touches.length === 1 && isDragging) {
				let deltaX = e.touches[0].clientX - lastMouseX;
				let deltaY = e.touches[0].clientY - lastMouseY;
				rotationAngleY += deltaX * 0.002;
				rotationAngleX += deltaY * 0.002;
				lastMouseX = e.touches[0].clientX;
				lastMouseY = e.touches[0].clientY;
			} else if (e.touches.length === 2) {
				const dist = getDistance(e.touches[0], e.touches[1]);
				const zoomFactor = dist / pinchStartDistance;
				focalLength = pinchStartFocalLength * zoomFactor;
			}
		});

		canvas.addEventListener('touchend', () => {
			isDragging = false;
		});

		// Helper function to calculate distance between two touch points
		function getDistance(touch1, touch2) {
			const dx = touch2.clientX - touch1.clientX;
			const dy = touch2.clientY - touch1.clientY;
			return Math.sqrt(dx * dx + dy * dy);
		}

		// Start the animation
		draw();
	</script>
</body>
</html>