Field of View of the Night Sky as a 3d Object

Hi there,

As part of a upcoming show I was planning to show why we see different constellations at different times of year by ideally having a translucent 3D cone showing your field of view from a given location on earth extending up into space (then moving through time to see how this changes over say 6 months) - any one tried/succeeded at doing this or something similar?

Many thanks

Alex