Hyperbolic Geometry - No Exaggeration
Channel: Mostly Mental
Date: 2022-05-22

Hyperbolic geometry is geometry that plays by a different set of rules.  Lines curve, triangles have less than 180 degrees, and the parallel postulate doesn't apply.

Hyperbolic plane crochet pattern: https://static1.squarespace.com/static/5754f47fcf80a16bffa02c45/t/60a2dd27e2d1e010d14216b6/1621286201908/Handout-Hyperbolic_Crochet.pdf
Explanation of Mobius transformations: https://www.youtube.com/watch?v=JX3VmDgiFnY

Sections:
0:00 Intro
0:36 Gameplay
0:54 Tiling and curvature
3:14 Euclid
5:01 Poincare disc
6:36 Parallel lines
7:39 Mobius transformations
9:18 Conclusion