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## Homework Statement

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?

## 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.