You wake up in a hotel lobby, bathed in warm orange light as soft jazz music permeates the cedar-scented air. Sitting up from the soft velvet sofa you were just lying on, you see that the lobby appears... Infinite. The starry Penrose tiled floors extend far beyond what your eyes can see, with furniture, vending machines, and pillars with embedded elevators forming a forest around you. "Welcome to Hilbert's Hotel," a voice flows from the ceiling, "where infinite stays can all be infinite."