There are two non-parallel lines in 4513( and I'm not talking about the two sets of parallel lines crossing each other ). Look carefully, and ignore other parallels. I haven't seen any such clear example in other primes( or any other number for that matter ).

I though it was interesting so here is a picture: http://i.imgur.com/KpbfuSz.jpg

Between the purple and blue lines, there are a couple of segments desperately trying to form a line, but failing.