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9:41 AM
This question was recently bumped by a new answer: How to partition R^3 into pairwise non-parallel lines? The tag should be removed. And we could also replace the deprecated tag - I guess could be a suitable candidate.
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Q: How to partition R^3 into pairwise non-parallel lines?

subshiftProblem. How to partition R^3 into pairwise non-parallel lines? A possible solution is to stack infinitely many ``concentric'' hyperboloids, by increasing radius and decreasing slope. And don't forget the line on the $z$ axis at the center. The prototype hyperboloid looks like this. I heard a t...

 

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