Virtual Cubes

Each sticker shows 4 ropes of different colors so that each rope connects 2 sides of the sticker, and each side has 2 ropes leading to it. All the stickers have the same rope pattern and are using the same 4 colors, though the color arrangement usually differs. In the initial state ropes of the same color are connected, giving a total of 16 closed paths, or 4 paths per color. Note that each cube face has the same 2×2 pattern.