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Non-Euclidean Geometry Explained - Hyperbolica Devlog #1

CodeParade · Youtube · 8 HN points · 2 HN comments
HN Theater has aggregated all Hacker News stories and comments that mention CodeParade's video "Non-Euclidean Geometry Explained - Hyperbolica Devlog #1".
Youtube Summary
I present the easiest way to understand curved spaces, in both hyperbolic and spherical geometries. This is the first in a series about the development of Hyperbolica.

Chapters:
0:00 Intro
0:24 Spherical Geometry
2:33 Hyperbolic Introduction
3:53 Projections
5:37 Non-Euclidean Weirdness
8:31 Non-Euclidean Formulas
10:20 Outro

Hyperbolica
Trailer: https://www.youtube.com/watch?v=EMKLeS-Uq_8
Steam Page: https://store.steampowered.com/app/1256230/Hyperbolica/
Merch: https://crowdmade.com/collections/codeparade

Henry Segerman
https://www.youtube.com/channel/UC4zzTEL5tuIgGMvzjk1Ozbg
https://www.youtube.com/watch?v=eGEQ_UuQtYs

HyperRogue
https://roguetemple.com/z/hyper/

If you like the things I do and want to support the channel:
https://www.patreon.com/codeparade
https://ko-fi.com/codeparade

Music:
"Glass Waves" By Phil K
https://willcomposeforfood.com/
HN Theater Rankings

Hacker News Stories and Comments

All the comments and stories posted to Hacker News that reference this video.
Jan 20, 2022 · 3 points, 0 comments · submitted by dheavy
He has a cool video on how hyperbolic geometry is really big: https://www.youtube.com/watch?v=zQo_S3yNa2w
ruytlm
At 5:45[0] in that video, he makes a reference to one of the greatest weird explanations of video game things ever: the explanation[1] of how to beat the Watch for Rolling Rocks level in Super Mario 64 with only half an A-press, which is highly worth a watch if you like this stuff about geometry.

And if that was interesting, I also recommend the history of any percent speed runs for Super Mario Sunshine.[2]

[0]: https://www.youtube.com/watch?v=zQo_S3yNa2w&t=345 [1]: https://www.youtube.com/watch?v=kpk2tdsPh0A [2]: https://www.youtube.com/watch?v=oudZMniib08

Jul 11, 2020 · 5 points, 1 comments · submitted by miccah
peter_d_sherman
This is amazing!

This video compares and contrasts three different types of Geometries:

o Spherical Geometry

o Euclidian Geometry (the one we all know)

o Hyperbolic Geometry

With the wonderful property that

Spherical Geometry is sort of the opposite of Hyperbolic Geometry...

(Note to self, have to do more research on this!), i.e.,

Circumference of a circle:

Spherical: 2 x pi x sin(r)

Euclidian: 2 x pi x r

Hyperbolic: 2 x pi x sinh(r)

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