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  • 1
    $\begingroup$ Neat and simple mapping to a sphere - I like it :) $\endgroup$ Commented Aug 29, 2016 at 14:03
  • 3
    $\begingroup$ This is math and physics as their best. :) $\endgroup$ Commented Aug 29, 2016 at 15:14
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    $\begingroup$ What would this look like if you wanted to conserve volume? I get the impression that the final sphere is a bit bigger than the original cow. $\endgroup$ Commented Aug 29, 2016 at 15:51
  • 1
    $\begingroup$ you can do it by integrating over the region. Integrate[1, {x, y, z} ∈ ExampleData[{"Geometry3D", "Cow"}, "MeshRegion"]]. I added it in my question as an edit. $\endgroup$ Commented Aug 30, 2016 at 13:39
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    $\begingroup$ I joined mathematica.SE just to be able to upvote this question and this answer. $\endgroup$ Commented Aug 30, 2016 at 15:20