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Mar 13, 2021 at 18:14 comment added Nandakumar R Thanks for pointing out an imperfection in the way the last question was phrased. I had meant convex objects with finite dimensions, not straight lines.
Mar 13, 2021 at 2:12 comment added user44143 This would be better as a comment than as an answer, even if we have to visualize the line segments through the origin in our heads.
Mar 13, 2021 at 2:12 comment added Will Sawin An example that is less against the spirt, but may still not be entirely according to the spirt, consists of $n$ infinitely long triangular prism, where the triangle is acute of angles at most $2\pi/n$, joined together around a line, so their cross-sections look like a pie sliced into wedges. It's not immediately obvious to me how to give a precise formulation avoiding this example, if one wants.
Mar 13, 2021 at 1:48 history edited Joseph O'Rourke CC BY-SA 4.0
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Mar 13, 2021 at 1:15 history edited Joseph O'Rourke CC BY-SA 4.0
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Mar 13, 2021 at 0:59 history answered Joseph O'Rourke CC BY-SA 4.0