Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

Coding Non-Euclidean Worlds: What is the Hyperbolic Plane really like?

This aims to clear some confusions (that the authors formerly had) about the hyperbolic plane. We explain how to do geometry on curved surfaces, then construct the hyperbolic plane, then discuss other things sorounding its models.


Analytics

5.18 Overall score*
75 Rank
25 Votes
4 Comments

Comments

5.2
Interesting content. Some dialogue is difficult to understand. Some text appears too briefly on the screen to read.
6.8
I think that this is a good attempt to introduce a difficult topic.
7.1
I like the generalization of using the Riemannian metric from the sphere and it builds up an intuition on how we could view more complex surfaces in this way and the animations do help to illustrate the jump to something different. I think we could go through some of the properties of the hyperbolic spaces such as the geodesics which are not that intuitive why this should be the case. Some of the definitions here such as isometry may also not be intuitive to someone who has not studied geometry and can be defined as well.
3
Goal Orientation: 2/10 Novelty: 0/10 Thought-Provoking: 0/10 Comprehensibility: 0/10 Technological: 3/10 Overall Average: 1/10