How can the stars fit on a sphere?

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How can the stars fit on a sphere?
« on: June 25, 2016, 10:56:37 AM »
The FET says that the stars are on a disk that rotates around the north pole. How come if you map the stars onto a sphere with the observer at the center, the future position of the stars can be found by rotating said sphere around a point (with the point being your latitude degrees above north/south)