Suppose we have the hyperboloid t^2 - x^2 - y^2 = 1. We get the Beltrami-Klein disk model of the plane by placing our eye at the origin and tracing what we see on the plane t=1. In this model, geodesics are straight lines, but angles aren't preserved. We get the Poincare disk model of the plane by taking one step back, placing our eye at t=-1 and tracing what we see on the plane t=0. In this model, geodesics are arcs of circles intersecting the boundary of the disk at right angles and angles are preserved. Clearly we can continue stepping backwards; what happens if we place our eye at t=-2 and draw what we see on the plane t=-1? Does it have any nice properties? Is there a limiting model? Does it have any nice properties? -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com