 
Task

Display a region that consists of a large sphere with part of a smaller sphere removed from it as a result of geometric subtraction.

(This will basically produce a shape like a "death star".)



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RegionPlot3D[x^2 + y^2 + z^2 < 1 && (x + 1.7)^2 + y^2 + z^2 > 1, 
{x, -1, 1}, {y, -1, 1}, {z, -1, 1}, 
Boxed -> False, Mesh -> False, Axes -> False, Background -> Black, PlotPoints -> 100]