1. The problem statement, all variables and given/known data Ants follow geodesics on a surface which is an infinite cylinder. Do the geodesics deviate? By considering only the paths of itself and its neighbors, can an ant decide whether it is on a cylinder of a plane? 3. The attempt at a solution My answer to the first question is no, since the geodesic on the cylinder is a straight line(?). For the second question, my answer is also no, since they do not approach together or depart from each other. I just don't know my answers are right or wrong. Any comment would be appreciated.