# Count mirror reflections of yourself

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?

• How come I am in a room without mirrors but the rooms surface is covered with mirrors? Seems quite contradictory – Beastly Gerbil May 15 '16 at 15:36
• the room is without windows. Fixed – joro May 15 '16 at 15:54

None!

Because

Since you are completely enclosed inside the room, there is no light, so you can't see anything!

• Moreover, you'd soon run out of oxygen and suffocate, so even if there was enough light to see, you wouldn't be able to do so for very long. – Darrel Hoffman May 15 '16 at 16:33
• You are assuming that there is no light source inside the room. What if the person was carrying a light source? – Aditya Dev May 15 '16 at 18:07
• @AdityaDev Then the OP would've said 'you are carrying a candle' or something. – Insane May 15 '16 at 21:06
• even if you were carrying a light, i don't think you'd see an image of yourself anyway---everything would be way too distorted – AmagicalFishy May 15 '16 at 23:57
• My problem is how you get there in first place? They build it around you or teleport you inside Star Trek style? – Juan Carlos Oropeza May 16 '16 at 3:38

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.

• What about the reflection of the floor in the ceiling and vice-versa? Since they're parallel you'd see infinitely many reflections. – 2012rcampion May 15 '16 at 16:59
• Upon further reflection: If you have a phone, then you should turn on the camera and take a selfie of yourself with your infinite reflections, and the reflections of the images of the reflections on the screen, and the ... – KeyboardWielder May 15 '16 at 17:51
• @2012rcampion I might see the edge of a reflection behind me, but I will not be able to see the entire 2nd reflection due to the 1st reflection being in the way and so on. I will concede that the total reflections visible then increases to some irrational amount greater than 3, but not reaching 4 due to information lost after the first reflection. – Daniel Arnett May 16 '16 at 13:59
• @KeyboardWielder Good point. – Daniel Arnett May 16 '16 at 13:59

If you are talking about my physical image, I would go with NONE as there are no windows and its air tight.

• I think you mean there arent windows – Juan Carlos Oropeza May 16 '16 at 3:37
• Yes, I meant Windows!! :) – Bipin Chandra May 16 '16 at 3:48