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A quick and easy print, and totally customisable in OpenSCAD. The stars will turn right off the build plate (thought may need loosening up first).
Inspired partly by this design (http://www.thingiverse.com/thing:579088), and partly by my own work on a custom gyro /gimbal thing.
Print one of the existing STLs, or download the .scad file and make your own, tweak the number of points, number of rings, and the size.