/**** 
* Initialize Game
****/ 
var game = new LK.Game({
	backgroundColor: 0
});

/**** 
* Game Code
****/ 
// Game constants for the screen
var SELECTED_RESOLUTION = null;
var resolutionSelected = false;
// Cache children array reference
var screen = game.children;
// Pre-allocate reusable arrays to avoid garbage collection
var tempRotatedTriangle = [0, 0, 0, 0, 0, 0, 0, 0, 0];
var tempCenteredTriangle = [0, 0, 0, 0, 0, 0, 0, 0, 0];
var tempProjectedTriangle = [0, 0, 0, 0, 0, 0];
var tempVertex1 = [0, 0, 0];
var tempVertex2 = [0, 0, 0];
var tempVertex3 = [0, 0, 0];
// Optimized screen clearing - only clear visible pixels
var visiblePixels = [];
function clearScreen() {
	var len = visiblePixels.length;
	for (var i = 0; i < len; i++) {
		visiblePixels[i].tint = 0;
	}
	visiblePixels.length = 0;
}
function putPixel(x, y, color) {
	if (x >= 0 && x < SCREEN_SIZE && y >= 0 && y < SCREEN_SIZE) {
		var pixel = screen[x + y * SCREEN_SIZE];
		pixel.tint = color;
		visiblePixels.push(pixel);
	}
}
// Line drawing function using Bresenham's line algorithm
function drawLine(x0, y0, x1, y1, color) {
	var dx = x1 - x0;
	var dy = y1 - y0;
	var adx = dx < 0 ? -dx : dx;
	var ady = dy < 0 ? -dy : dy;
	var sx = dx < 0 ? -1 : 1;
	var sy = dy < 0 ? -1 : 1;
	var err = adx - ady;
	var x = x0;
	var y = y0;
	while (true) {
		putPixel(x, y, color);
		if (x === x1 && y === y1) {
			break;
		}
		var e2 = 2 * err;
		if (e2 > -ady) {
			err -= ady;
			x += sx;
		}
		if (e2 < adx) {
			err += adx;
			y += sy;
		}
	}
}
function drawTriangle(triangle, color, wireframe) {
	if (wireframe === undefined) {
		wireframe = false;
	}
	// Extract triangle vertices
	var x1 = triangle[0];
	var y1 = triangle[1];
	var x2 = triangle[2];
	var y2 = triangle[3];
	var x3 = triangle[4];
	var y3 = triangle[5];
	// Draw the three sides of the triangle only if wireframe is true
	if (wireframe) {
		drawLine(x1, y1, x2, y2, color); // Side 1-2
		drawLine(x2, y2, x3, y3, color); // Side 2-3
		drawLine(x3, y3, x1, y1, color); // Side 3-1
	} else {
		// Helper to interpolate x between two points at a given y
		// Sort vertices by y (ascending) - reuse pre-allocated array
		if (!drawTriangle.verts) {
			drawTriangle.verts = [{
				x: 0,
				y: 0
			}, {
				x: 0,
				y: 0
			}, {
				x: 0,
				y: 0
			}];
		}
		var verts = drawTriangle.verts;
		verts[0].x = x1;
		verts[0].y = y1;
		verts[1].x = x2;
		verts[1].y = y2;
		verts[2].x = x3;
		verts[2].y = y3;
		var interpX = function interpX(y, x0, y0, x1, y1) {
			if (y1 === y0) {
				return x0;
			}
			return x0 + (x1 - x0) * (y - y0) / (y1 - y0);
		}; // Fill bottom flat triangle (v0, v1, v2) if v1.y != v0.y
		verts.sort(function (a, b) {
			return a.y - b.y;
		});
		var v0 = verts[0];
		var v1 = verts[1];
		var v2 = verts[2];
		if (v1.y !== v0.y) {
			var yStart = Math.ceil(v0.y);
			var yEnd = Math.ceil(v1.y);
			for (var y = yStart; y < yEnd; y++) {
				var xA = interpX(y, v0.x, v0.y, v2.x, v2.y);
				var xB = interpX(y, v0.x, v0.y, v1.x, v1.y);
				var xStart = xA < xB ? Math.ceil(xA) : Math.ceil(xB);
				var xEnd = xA > xB ? Math.floor(xA) : Math.floor(xB);
				for (var x = xStart; x <= xEnd; x++) {
					putPixel(x, y, color);
				}
			}
		}
		// Fill top flat triangle (v1, v2, v0) if v2.y != v1.y
		if (v2.y !== v1.y) {
			var yStart = Math.ceil(v1.y);
			var yEnd = Math.ceil(v2.y);
			for (var y = yStart; y < yEnd; y++) {
				var xA = interpX(y, v0.x, v0.y, v2.x, v2.y);
				var xB = interpX(y, v1.x, v1.y, v2.x, v2.y);
				var xStart = xA < xB ? Math.ceil(xA) : Math.ceil(xB);
				var xEnd = xA > xB ? Math.floor(xA) : Math.floor(xB);
				for (var x = xStart; x <= xEnd; x++) {
					putPixel(x, y, color);
				}
			}
		}
	}
}
var colorIndex = 0;
// Resolution selection UI
var resolutionTitle = new Text2('Choose Resolution', {
	size: 120,
	fill: 0xFFFFFF
});
resolutionTitle.anchor.set(0.5, 0.5);
resolutionTitle.x = 2048 / 2;
resolutionTitle.y = 2732 / 2 - 300;
game.addChild(resolutionTitle);
var lowResText = new Text2('Low Resolution (64x64)', {
	size: 80,
	fill: 0x00FF00
});
lowResText.anchor.set(0.5, 0.5);
lowResText.x = 2048 / 2;
lowResText.y = 2732 / 2 - 100;
game.addChild(lowResText);
var highResText = new Text2('High Resolution (96x96)', {
	size: 80,
	fill: 0x0066FF
});
highResText.anchor.set(0.5, 0.5);
highResText.x = 2048 / 2;
highResText.y = 2732 / 2 + 100;
game.addChild(highResText);
// Add touch handlers for resolution selection
lowResText.down = function (x, y, obj) {
	SELECTED_RESOLUTION = 'low';
	SCREEN_SIZE = 64;
	PIXEL_SIZE = 2048 / SCREEN_SIZE;
	var offset = 2732 / 2 - SCREEN_SIZE * PIXEL_SIZE / 2;
	resolutionSelected = true;
	// Remove UI elements
	game.removeChild(resolutionTitle);
	game.removeChild(lowResText);
	game.removeChild(highResText);
	// Create the screen of pixels
	for (var y = 0; y < SCREEN_SIZE; y++) {
		for (var x = 0; x < SCREEN_SIZE; x++) {
			// Get an instance of our pixel asset
			var pixel = LK.getAsset('pixel', {
				x: x * PIXEL_SIZE,
				y: y * PIXEL_SIZE + offset,
				tint: 0
			});
			game.addChild(pixel);
		}
	}
};
highResText.down = function (x, y, obj) {
	SELECTED_RESOLUTION = 'high';
	SCREEN_SIZE = 96;
	PIXEL_SIZE = 2048 / SCREEN_SIZE;
	var offset = 2732 / 2 - SCREEN_SIZE * PIXEL_SIZE / 2;
	resolutionSelected = true;
	// Remove UI elements
	game.removeChild(resolutionTitle);
	game.removeChild(lowResText);
	game.removeChild(highResText);
	// Create the screen of pixels using high res asset
	for (var y = 0; y < SCREEN_SIZE; y++) {
		for (var x = 0; x < SCREEN_SIZE; x++) {
			// Get an instance of our pixel asset
			var pixel = LK.getAsset('pixelHighRes', {
				x: x * PIXEL_SIZE,
				y: y * PIXEL_SIZE + offset,
				tint: 0
			});
			game.addChild(pixel);
		}
	}
};
function translateTriangle(triangle, dx, dy, dz, result) {
	// triangle: [x1, y1, z1, x2, y2, z2, x3, y3, z3]
	// Translate each vertex by dx, dy, dz - use provided result array
	for (var i = 0; i < 9; i += 3) {
		result[i] = triangle[i] + dx;
		result[i + 1] = triangle[i + 1] + dy;
		result[i + 2] = triangle[i + 2] + dz;
	}
	return result;
}
function rotateTriangle(triangle, angleX, angleY, angleZ, result) {
	// triangle: [x1, y1, z1, x2, y2, z2, x3, y3, z3]
	// angleX, angleY, angleZ in radians
	// Precompute sines and cosines
	var cosX = Math.cos(angleX),
		sinX = Math.sin(angleX);
	var cosY = Math.cos(angleY),
		sinY = Math.sin(angleY);
	var cosZ = Math.cos(angleZ),
		sinZ = Math.sin(angleZ);
	// Inline rotation for better performance - rotate each vertex directly
	for (var i = 0; i < 9; i += 3) {
		var x = triangle[i];
		var y = triangle[i + 1];
		var z = triangle[i + 2];
		// Rotate around Y axis (Yaw)
		var x1 = x * cosY + z * sinY;
		var z1 = -x * sinY + z * cosY;
		// Rotate around X axis (Pitch)
		var y2 = y * cosX - z1 * sinX;
		var z2 = y * sinX + z1 * cosX;
		// Rotate around Z axis (Roll)
		var x3 = x1 * cosZ - y2 * sinZ;
		var y3 = x1 * sinZ + y2 * cosZ;
		result[i] = x3;
		result[i + 1] = y3;
		result[i + 2] = z2;
	}
	return result;
}
function projectTriangle(triangle, result) {
	// triangle: [x1, y1, z1, x2, y2, z2, x3, y3, z3]
	// Perspective projection parameters
	var fov = 80; // Focal length (distance from camera to projection plane)
	var cx = SCREEN_SIZE / 2;
	var cy = SCREEN_SIZE / 2;
	// Inline projection for better performance
	for (var i = 0; i < 9; i += 3) {
		var x = triangle[i];
		var y = triangle[i + 1];
		var z = triangle[i + 2];
		// Avoid division by zero
		var zz = z === 0 ? 0.0001 : z;
		var projIdx = i / 3 * 2;
		result[projIdx] = Math.round(cx + (x - cx) * (fov / (fov + zz)));
		result[projIdx + 1] = Math.round(cy + (y - cy) * (fov / (fov + zz)));
	}
	return result;
}
function shadeTriangleColor(triangle, baseColor) {
	// Calculate face normal in view space (after rotation, before projection)
	// Get the three vertices in view space
	var v1 = triangle.slice(0, 3);
	var v2 = triangle.slice(3, 6);
	var v3 = triangle.slice(6, 9);
	// Compute vectors
	var ax = v2[0] - v1[0],
		ay = v2[1] - v1[1],
		az = v2[2] - v1[2];
	var bx = v3[0] - v1[0],
		by = v3[1] - v1[1],
		bz = v3[2] - v1[2];
	// Cross product (normal)
	var nx = ay * bz - az * by;
	var ny = az * bx - ax * bz;
	var nz = ax * by - ay * bx;
	// Normalize normal
	var nlen = Math.sqrt(nx * nx + ny * ny + nz * nz);
	if (nlen > 0) {
		nx /= nlen;
		ny /= nlen;
		nz /= nlen;
	}
	// Camera looks down -Z, so light direction is (0,0,-1)
	var dot = nz; // dot(normal, [0,0,-1]) = nz
	// Clamp dot to [0,1] for brightness (facing camera = 1, edge = 0)
	var brightness = dot + 0.25;
	if (brightness < 0) {
		brightness = 0;
	}
	if (brightness > 1) {
		brightness = 1;
	}
	// Darken color by brightness (simple shading)
	var r = (baseColor >> 16 & 0xFF) * brightness;
	var g = (baseColor >> 8 & 0xFF) * brightness;
	var b = (baseColor & 0xFF) * brightness;
	return Math.round(r) << 16 | Math.round(g) << 8 | Math.round(b);
}
function isBackfacing(projectedTriangle) {
	// Check winding order using cross product of projected triangle
	// projectedTriangle: [x1, y1, x2, y2, x3, y3]
	var x1 = projectedTriangle[0];
	var y1 = projectedTriangle[1];
	var x2 = projectedTriangle[2];
	var y2 = projectedTriangle[3];
	var x3 = projectedTriangle[4];
	var y3 = projectedTriangle[5];
	// Calculate cross product to determine winding order
	var crossProduct = (x2 - x1) * (y3 - y1) - (y2 - y1) * (x3 - x1);
	// If cross product is negative, triangle is clockwise (backfacing)
	return crossProduct < 0;
}
// Drag variables
var isDragging = false;
var dragStartX = 0;
var dragStartY = 0;
var dragStartAngleX = 0;
var dragStartAngleY = 0;
var angleX = Math.PI / 4;
var angleY = Math.PI / 4;
var momentumX = 0;
var momentumY = 0;
var lastAngleX = 0;
var lastAngleY = 0;
// Initialize cube rendering after resolution is selected
function initializeCubeRendering() {
	// Touch/mouse down: start drag
	game.down = function (x, y, obj) {
		if (!resolutionSelected) {
			return;
		}
		dragStartX = x;
		dragStartAngleY = angleY;
		dragStartY = y;
		dragStartAngleX = angleX;
		isDragging = true;
	};
	// Touch/mouse up: end drag
	game.up = function (x, y, obj) {
		if (!resolutionSelected) {
			return;
		}
		isDragging = false;
	};
	// Touch/mouse move: update angles if dragging
	game.move = function (x, y, obj) {
		if (!resolutionSelected) {
			return;
		}
		if (isDragging) {
			// Horizontal drag for Y-axis rotation
			var dx = x - dragStartX;
			angleY = dragStartAngleY - dx / 2048 * (2 * Math.PI);
			// Vertical drag for X-axis rotation
			var dy = y - dragStartY;
			angleX = dragStartAngleX + dy / 2732 * (2 * Math.PI);
		}
	};
	game.update = function () {
		if (!resolutionSelected) {
			return;
		}
		// Center the cube by translating to the middle of the screen
		var centerX = SCREEN_SIZE / 2;
		var centerY = SCREEN_SIZE / 2;
		var centerZ = 16; // Move slightly back for better perspective
		if (SELECTED_RESOLUTION == 'high') {
			var triangles = [[-24, -24, -24, 24, -24, -24, -24, 24, -24], [-24, 24, -24, 24, -24, -24, 24, 24, -24], [24, -24, -24, 24, -24, 24, 24, 24, -24], [24, 24, -24, 24, -24, 24, 24, 24, 24], [-24, -24, 24, -24, 24, 24, 24, -24, 24], [-24, 24, 24, 24, 24, 24, 24, -24, 24], [-24, -24, 24, -24, -24, -24, -24, 24, 24], [-24, 24, 24, -24, -24, -24, -24, 24, -24], [24, -24, 24, 24, -24, -24, -24, -24, -24], [-24, -24, -24, -24, -24, 24, 24, -24, 24], [-24, 24, -24, 24, 24, 24, -24, 24, 24], [24, 24, 24, -24, 24, -24, 24, 24, -24]];
		} else {
			var triangles = [[-16, -16, -16, 16, -16, -16, -16, 16, -16], [-16, 16, -16, 16, -16, -16, 16, 16, -16], [16, -16, -16, 16, -16, 16, 16, 16, -16], [16, 16, -16, 16, -16, 16, 16, 16, 16], [-16, -16, 16, -16, 16, 16, 16, -16, 16], [-16, 16, 16, 16, 16, 16, 16, -16, 16], [-16, -16, 16, -16, -16, -16, -16, 16, 16], [-16, 16, 16, -16, -16, -16, -16, 16, -16], [16, -16, 16, 16, -16, -16, -16, -16, -16], [-16, -16, -16, -16, -16, 16, 16, -16, 16], [-16, 16, -16, 16, 16, 16, -16, 16, 16], [16, 16, 16, -16, 16, -16, 16, 16, -16]];
		}
		var COLOR_ARRAY = [0xFF0000,
		// Red
		0xFF7F00,
		// Orange
		0xFFFF00,
		// Yellow
		0x00FF00,
		// Green
		0x0000FF,
		// Blue
		0x4B0082
		// Indigo
		];
		// If not dragging, apply momentum to angles
		if (!isDragging) {
			angleX += momentumX;
			angleY += momentumY;
			// Apply friction to slow down over time
			momentumX *= 0.96;
			momentumY *= 0.96;
			// Clamp very small values to zero to avoid drift
			if (Math.abs(momentumX) < 0.00001) {
				momentumX = 0;
			}
			if (Math.abs(momentumY) < 0.00001) {
				momentumY = 0;
			}
		}
		//Start of the 3d renderer
		clearScreen();
		for (var i = 0; i < triangles.length; i++) {
			var triangle = triangles[i];
			rotateTriangle(triangle, angleX, angleY, 0, tempRotatedTriangle);
			translateTriangle(tempRotatedTriangle, centerX, centerY, centerZ, tempCenteredTriangle);
			projectTriangle(tempCenteredTriangle, tempProjectedTriangle);
			// Only draw triangle if it's not backfacing
			if (!isBackfacing(tempProjectedTriangle)) {
				var shadedColor = shadeTriangleColor(tempRotatedTriangle, COLOR_ARRAY[Math.floor(i / 2)]);
				drawTriangle(tempProjectedTriangle, shadedColor);
				drawTriangle(tempProjectedTriangle, 0, true);
			}
		}
		// Update momentum based on last frame's angle change
		if (isDragging) {
			var deltaX = angleX - lastAngleX;
			var deltaY = angleY - lastAngleY;
			// Smooth momentum using an exponential moving average for a more natural feel.
			momentumX = momentumX * 0.5 + deltaX * 0.5;
			momentumY = momentumY * 0.5 + deltaY * 0.5;
		}
		lastAngleX = angleX;
		lastAngleY = angleY;
	};
}
// Initialize cube rendering immediately
initializeCubeRendering();

===================================================================
--- original.js
+++ change.js
@@ -380,10 +380,10 @@
 		}
 		// Center the cube by translating to the middle of the screen
 		var centerX = SCREEN_SIZE / 2;
 		var centerY = SCREEN_SIZE / 2;
-		var centerZ = 8; // Move slightly back for better perspective
-		if (resolutionSelected == 'high') {
+		var centerZ = 16; // Move slightly back for better perspective
+		if (SELECTED_RESOLUTION == 'high') {
 			var triangles = [[-24, -24, -24, 24, -24, -24, -24, 24, -24], [-24, 24, -24, 24, -24, -24, 24, 24, -24], [24, -24, -24, 24, -24, 24, 24, 24, -24], [24, 24, -24, 24, -24, 24, 24, 24, 24], [-24, -24, 24, -24, 24, 24, 24, -24, 24], [-24, 24, 24, 24, 24, 24, 24, -24, 24], [-24, -24, 24, -24, -24, -24, -24, 24, 24], [-24, 24, 24, -24, -24, -24, -24, 24, -24], [24, -24, 24, 24, -24, -24, -24, -24, -24], [-24, -24, -24, -24, -24, 24, 24, -24, 24], [-24, 24, -24, 24, 24, 24, -24, 24, 24], [24, 24, 24, -24, 24, -24, 24, 24, -24]];
 		} else {
 			var triangles = [[-16, -16, -16, 16, -16, -16, -16, 16, -16], [-16, 16, -16, 16, -16, -16, 16, 16, -16], [16, -16, -16, 16, -16, 16, 16, 16, -16], [16, 16, -16, 16, -16, 16, 16, 16, 16], [-16, -16, 16, -16, 16, 16, 16, -16, 16], [-16, 16, 16, 16, 16, 16, 16, -16, 16], [-16, -16, 16, -16, -16, -16, -16, 16, 16], [-16, 16, 16, -16, -16, -16, -16, 16, -16], [16, -16, 16, 16, -16, -16, -16, -16, -16], [-16, -16, -16, -16, -16, 16, 16, -16, 16], [-16, 16, -16, 16, 16, 16, -16, 16, 16], [16, 16, 16, -16, 16, -16, 16, 16, -16]];
 		}