What is the minimum radius of a circular corridor for the walls to appear straight?
Where am I? It is so dark around here... Hopefully I have a torch. It looks like I am in a very long corridor.
Time passes
What? No this couldn't be! I walked straight in front of me during the whole time and now I am back to the start point!
Oh yes, it is possible. It is just a circular corridor like this one :
Thus, what is the minimum radius of a circular corridor for the walls to appear straight ?
The inside of the corridor is in the dark, the character (human) sees around her in a radius of 20 meters thanks to her fire torch. She has to think that the walls are straight because of both her vision and her touch if she touches the wall. Thus, she thinks it is a very very long corridor, but in fact, she is walking in a circle! The corridor width $R - r$ is about 2 meters.
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