List of hyperbolic geometry models

Question

When I studied (as an amator) non-euclidean geometry I read that big number of models of hyperbolic geometry was created in 19th and 20th century. Where can I find any list and short description of such models? Usually three models are described: Poincaré Disk, Poincaré Half-Plane, Beltrami-Klein Disk, hyperboloid model. I'm looking for less classical models. Obviously I'm aware that no full list exists but some kind of partial summary, expository work could be interesting for me.

Answer 1

Created this a few days ago: Models of hyperbolic geometry

Includes all interesting representations of hyperbolic geometry known to me :) Please tell me if anything is missing.