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Timeline for Mapping a cube to a sphere

Current License: CC BY-SA 4.0

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Oct 11, 2023 at 11:29 comment added Harry van Langen Yes @HelloGoodbye. Have a look at the last figure. The map of the central coordinate line is longer than that of the edges by a factor $\frac{\pi }{4} /arctan\left( \frac{1}{2} \sqrt{2} \right)$
Oct 10, 2023 at 20:02 comment added HelloGoodbye @HarryvanLangen Do you allow different coordinate lines to be mapped onto the sphere with different scaling factors, i.e. so that their corresponding curves on the sphere have different lengths?
Oct 9, 2023 at 18:03 comment added Harry van Langen Thanks @user 1277628. However, the mapping I am looking for is neither area nor angle preserving. I only require equidistant points on the cube's coordinate lines to be mapped to equidistant points on the sphere's coordinate lines (as per the original query and pictures). Also see: hvlanalysis.blogspot.com/2023/05/mapping-cube-to-sphere.html
Oct 9, 2023 at 13:40 review Late answers
Oct 9, 2023 at 14:55
S Oct 9, 2023 at 13:25 review First answers
Oct 9, 2023 at 14:25
S Oct 9, 2023 at 13:25 history answered user1277628 CC BY-SA 4.0