How can a square-based lattice turn into a circular-based one?

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31 replies · 2K views
DaTario said:
Yes, Dale, I am aware of this fact. It is like the extended parabola I presented in #25 (not the 2D one).
Ok, I just thought that would have been one possible reason for believing that a linear geodesic could turn into a circular one.
 
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Dale said:
Ok, I just thought that would have been one possible reason for believing that a linear geodesic could turn into a circular one.
Thank you, Dale. This comment of yours was enlightening. So, it seems that we can say that there are no circular geodesics, at least as long as no time travel is considered.
If this is the case, then it could have been a nice answer to my question.