Exploring hyperbolic geometry through 3D printing

I designed triangles that can snap together to make models of Euclidean, spherical, and hyperbolic geometry. These models reveal an important property about how the area of circles increase with radius in each of the geometries. Printable triangles: https://3dprint.kkozai.com/models/rbtl6ckgmtqz 00:00 Hyperbolic geometry and the Parallel Postulate 00:31 Area in Euclidean geometry 03:34 Spherical geometry model 05:27 Hyperbolic geometry model