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Apr 2, 2015 at 19:57 comment added The Masked Avenger @Wolfgang <a href='mathoverflow.net/q/201374/6094' >Good Question!</a>
Apr 1, 2015 at 10:51 comment added Wolfgang So imagine we want to replace the hemisphere by a (the?) surface such that the solid angle is the same for each point on it. What would be the equation of the curve, say in the x-z-plane, whose rotation around the z-axis yields that surface?
Mar 29, 2015 at 1:16 history edited Douglas Zare CC BY-SA 3.0
Mainly fixed typos.
Mar 28, 2015 at 23:43 comment added Joseph O'Rourke This is wonderful confirmation of the start @$ 90^\circ, \Omega=0.59\pi \approx 1.85$ to @$0^\circ, \Omega = \pi$. Great that you could compute the solid angle explicitly!
Mar 28, 2015 at 21:17 history answered Douglas Zare CC BY-SA 3.0