Abstract: We are used to thinking about hyperbolic space using models, partly because they simplify our calculations and partly because we can’t see hyperbolic space from the outside (even the plane doesn’t embed nicely into R^3). However much like stenographically projecting the earth onto a plane ruins the inherent symmetry of a sphere, our models provide us with a highly distorted lens through which to look, and much of how it would actually look or feel to live in a negatively curved world is difficult to recover.