In this video, Saul Schleimer and I use many different 3D printed models, with lights and shadows, to show how the different ways to draw the hyperbolic plane are related to each other. Video: https://www.youtube.com/watch?v=eGEQ_UuQtYs Shapeways models: (2,3,7) triangle tiling: http://shpws.me/Dq6q Geodesic saddle ({3,7} radius 3, subdivided 4): http://shpws.me/ES7b Pseudosphere: http://shpws.me/GIgq (2,3,5) triangle tiling (stereographic projection): http://shpws.me/CKVv