GLASS (Generator for Large Scale Structure) produces cosmological simulations on the sphere. The full, three-dimensional past light cone of the observer is discretized into a sequence of nested shells, which are further discretized in the angular dimensions into maps of the sphere. GLASS was originally designed to simulate cosmic matter, weak gravitational lensing, and galaxy positions, but its flexible design and open architecture allows it to be used for a wide range of cosmological and astrophysical simulations on the sphere.