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  • Does this help? Commented Jan 29, 2014 at 12:44
  • @Philipp: The arches in that picture would be geodesic on the "flat" torus, but not on the torus embedded in R^3. Commented Jan 29, 2014 at 16:04
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    A couple of comments. First, it would help to know how your coordinates are specified. Are they given as points in 3-space, or points in a rectangle (the domain of a parametrization), or some other format? Second, asking for a geodesic arc on a torus embedded in R^3 is a fairly complex mathematical question, and I doubt you will find any drawing-oriented program with a built-in method to compute this for you. Do you really need the arcs to be geodesic, or just "reasonable"? Commented Jan 29, 2014 at 16:10
  • Hi guys. Firstly, thank you for your answers. @Philipp the code helps a lot for drawing the torus, but I am totally unfamiliar with Asymptote unfortunately and I have to import (a lot of) points. I think however that I will use it to draw the donut :) Thanks again. Commented Jan 30, 2014 at 16:49
  • @CharlesStaats I need a sort of geodetic on the flat torus (sorry I write not clearly) and a reasonable solution is fine! The points are in the form x y where x and y are the coordinates in the rectangle, domain of parametrization. However I can clearly recompute their coordinates in another form, if necessary. Commented Jan 30, 2014 at 16:50