You are placed in a room without windows. The room is air-tight. The shape of the room is a cylinder and you are placed in its center. The whole surface of the room is covered with mirrors.
How many images of yourself you could see in this room?
I would see 3 images of myself; one on the floor, one on the ceiling and one stretched and distorted around the cylindrical side wall. This is of course after pulling out my phone and turning the light on like a rational human adult. Edit: The double mirror effect would occur as seen in this image. Notice that when an object is offset from the viewer's perspective a seemingly infinite repeating image appears. But notice that after several reflections this repetition only represents fractional reflections of the viewer. In short: the number of total reflections is equal to the number of reflective surfaces summed with the repeating fractional reflections of the double mirror effect.