Yes, but we're all basically familiar with elliptic geometry, and as a result it's not terribly interesting or surprising. Hyperbolic geometry, on the other ha

Yes, but we're all basically familiar with elliptic geometry, and as a result it's not terribly interesting or surprising. Hyperbolic geometry, on the other hand, is alien to most people, (especially fractal like the projections into 2d and 3d), so when people wave their hands and say 'non-Eyclidean geometry!', that's what they usually actually mean. Try actually watching some of the hyper-rogue gameplay: https://www.youtube.com/watch?v=lX5eCfRSCKY https://www.youtube.com/watch?v=lX5eCfRSCKY I assure you, it's more interesting as a geometric visualisation than planetary annihilation is. More technical reading here: https://math.stackexchange.com/questions/1407550/what-hyperbolic-space-really-looks-like https://math.stackexchange.com/questions/1407550/what-hyperb...