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

/**** 
* Game Code
****/ 
// Game constants for the screen
var SCREEN_SIZE = 64;
var PIXEL_SIZE = 2048 / SCREEN_SIZE;
// Cache children array reference 
var screen = game.children;
function clearScreen() {
	var len = screen.length;
	for (var i = 0; i < len; i++) {
		screen[i].tint = 0;
	}
}
function putPixel(x, y, color) {
	if (x >= 0 && x < SCREEN_SIZE && y >= 0 && y < SCREEN_SIZE) {
		screen[x + y * SCREEN_SIZE].tint = color;
	}
}
// 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;
var offset = 2732 / 2 - SCREEN_SIZE * PIXEL_SIZE / 2;
// 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);
	}
}
function translateTriangle(triangle, dx, dy, dz) {
	// triangle: [x1, y1, z1, x2, y2, z2, x3, y3, z3]
	// Translate each vertex by dx, dy, dz - reuse pre-allocated array
	if (!translateTriangle.result) {
		translateTriangle.result = [0, 0, 0, 0, 0, 0, 0, 0, 0];
	}
	var result = translateTriangle.result;
	result[0] = triangle[0] + dx;
	result[1] = triangle[1] + dy;
	result[2] = triangle[2] + dz;
	result[3] = triangle[3] + dx;
	result[4] = triangle[4] + dy;
	result[5] = triangle[5] + dz;
	result[6] = triangle[6] + dx;
	result[7] = triangle[7] + dy;
	result[8] = triangle[8] + dz;
	return result;
}
function rotateTriangle(triangle, angleX, angleY, angleZ) {
	// triangle: [x1, y1, z1, x2, y2, z2, x3, y3, z3]
	// angleX, angleY, angleZ in radians
	// Reuse pre-allocated array for result
	if (!rotateTriangle.result) {
		rotateTriangle.result = [0, 0, 0, 0, 0, 0, 0, 0, 0];
	}
	var result = rotateTriangle.result;
	// 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);
	// Helper to rotate a single point
	function rotate(x, y, z) {
		// 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;
		return [x3, y3, z2];
	}
	// Rotate each vertex
	var p1 = rotate(triangle[0], triangle[1], triangle[2]);
	var p2 = rotate(triangle[3], triangle[4], triangle[5]);
	var p3 = rotate(triangle[6], triangle[7], triangle[8]);
	result[0] = p1[0];
	result[1] = p1[1];
	result[2] = p1[2];
	result[3] = p2[0];
	result[4] = p2[1];
	result[5] = p2[2];
	result[6] = p3[0];
	result[7] = p3[1];
	result[8] = p3[2];
	return result;
}
function projectTriangle(triangle) {
	// 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;
	function project(x, y, z) {
		// Avoid division by zero
		var zz = z === 0 ? 0.0001 : z;
		return [Math.round(cx + (x - cx) * (fov / (fov + zz))), Math.round(cy + (y - cy) * (fov / (fov + zz)))];
	}
	// Reuse pre-allocated arrays for projection results
	if (!projectTriangle.result) {
		projectTriangle.result = [0, 0, 0, 0, 0, 0];
	}
	var result = projectTriangle.result;
	var p1 = project(triangle[0], triangle[1], triangle[2]);
	var p2 = project(triangle[3], triangle[4], triangle[5]);
	var p3 = project(triangle[6], triangle[7], triangle[8]);
	// Fill result array directly
	result[0] = p1[0];
	result[1] = p1[1];
	result[2] = p2[0];
	result[3] = p2[1];
	result[4] = p3[0];
	result[5] = p3[1];
	return result;
}
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;
}
//Start of the 3d renderer
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]];
// 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
// This is the part where the cube is drawn
// TODO: add dk water music
var angleX = 0;
var angleY = 0;
var angleZ = 0;
// Drag state for rotation
var dragStartX = null;
var dragStartAngleY = null;
var dragStartY = null;
var dragStartAngleX = null;
var isDragging = false;
// Touch/mouse down: start drag
game.down = function (x, y, obj) {
	dragStartX = x;
	dragStartAngleY = angleY;
	dragStartY = y;
	dragStartAngleX = angleX;
	isDragging = true;
};
// Touch/mouse up: end drag
game.up = function (x, y, obj) {
	isDragging = false;
};
// Touch/mouse move: update angles if dragging
game.move = function (x, y, obj) {
	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);
	}
};
LK.setTimeout(function () {
	game.update = function () {
		clearScreen();
		triangles.forEach(function (triangle, i) {
			var rotatedTriangle = rotateTriangle(triangle, angleX, angleY, angleZ);
			var centeredTriangle = translateTriangle(rotatedTriangle, centerX, centerY, centerZ);
			var projectedTriangle = projectTriangle(centeredTriangle);
			// Only draw triangle if it's not backfacing
			if (!isBackfacing(projectedTriangle)) {
				drawTriangle(projectedTriangle, 0xFFFFFF, true);
			}
		});
	};
}, 1500);
;

===================================================================
--- original.js
+++ change.js
@@ -178,17 +178,17 @@
 	var cosZ = Math.cos(angleZ),
 		sinZ = Math.sin(angleZ);
 	// Helper to rotate a single point
 	function rotate(x, y, z) {
-		// Rotate around X axis
-		var y1 = y * cosX - z * sinX;
-		var z1 = y * sinX + z * cosX;
-		// Rotate around Y axis
-		var x2 = x * cosY + z1 * sinY;
-		var z2 = -x * sinY + z1 * cosY;
-		// Rotate around Z axis
-		var x3 = x2 * cosZ - y1 * sinZ;
-		var y3 = x2 * sinZ + y1 * cosZ;
+		// 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;
 		return [x3, y3, z2];
 	}
 	// Rotate each vertex
 	var p1 = rotate(triangle[0], triangle[1], triangle[2]);
@@ -278,32 +278,14 @@
 };
 // Touch/mouse move: update angles if dragging
 game.move = function (x, y, obj) {
 	if (isDragging) {
-		// Trackball-style rotation for intuitive axis
+		// 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;
-		var trackballSpeed = Math.PI; // Sensitivity
-		// Calculate rotation axis in screen space
-		var axisX = dy;
-		var axisY = dx;
-		var axisZ = 0;
-		// Calculate angle based on drag distance
-		var dragDist = Math.sqrt(dx * dx + dy * dy);
-		var angle = dragDist / Math.max(2048, 2732) * trackballSpeed;
-		// Normalize axis
-		var axisLen = Math.sqrt(axisX * axisX + axisY * axisY + axisZ * axisZ);
-		if (axisLen > 0.0001) {
-			axisX /= axisLen;
-			axisY /= axisLen;
-			axisZ /= axisLen;
-			// Convert axis-angle to Euler angles (approximate)
-			// We'll rotate around the axis in world space, then decompose to Euler
-			// For simplicity, apply as incremental Euler angles
-			angleY = dragStartAngleY + axisY * angle;
-			angleX = dragStartAngleX + axisX * angle;
-			// angleZ remains unchanged
-		}
+		angleX = dragStartAngleX + dy / 2732 * (2 * Math.PI);
 	}
 };
 LK.setTimeout(function () {
 	game.update = function () {