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Suppose I have a sphere. Inside the sphere I have an inscribed cube. What I am interested in is finding out what is the latitude and longitude (or coordinates) of a point on the sphere which will be projected on a cube's face given the coodinate of a point on one of the cube's faces.

Does anyone have any equations for this?

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    Is this the same as [this earlier question](http://math.stackexchange.com/questions/86484/equirectangular-to-cube-faces-projection)?2011-11-28

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