Quiz

Each segment is either "there" or "back" relative to the straight line. An even number means that "there" = "back", sorry for being unserious.

Well, in principle, it's correct. The straight line divides the plane into 2 parts (let's call them "white" and "black"). Let's number the vertices from 1 to 111. If 1 is "white"/"black", then 2 is "black"/"white", 3 is "white"/"black", and so on. 111 turns out to be "white"/"black", which is impossible, because 2 adjacent vertices (1 and 111) turn out to be the same color.

Go ahead, make your guess.