Up: Hyperbolic Geometry

Isometries Between the Models

The different models of hyperbolic space are equivalent in the sense that there exist functions, taking one model into another, such that our notions of line, point, angle, and distance, are preserved.

Behind the formulae, there are often nice geometric interpretations of these isometries. We have included formulae, descriptions of the mappings, and animations to aid in visualizing these transformations.

Up: Hyperbolic Geometry

Created: Jul 15 1996 --- Last modified: Tue Aug 6 02:20:32 1996