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28 2 $begingroup$ You are standing at the centre of a circular forest of radius 500 metres. The trees of this very regularly planted forest stand in a precise rectangular lattice on the plane, each 10 metres from the next: the points $(m,n)$ within the disc-shaped forest with $m,ninmathbb{Z}$ not both zero (since $(0,0)$ is the point where you're standing). Each tree is a perfect cylinder with radius at least 20 centimetres. Can you see out of the forest? Source: Leith Hathout, Crimes and Mathdemeanors . mathematics geometry share | improve this question edited Sep 13 '16 at 0:19 Rand al'Thor