OpenTube

Rendering Hyperbolic Spaces - Hyperbolica Devlog #3

CodeParade

759,806 views

This is the 3rd devlog for Hyperbolica where I talk about how I build and render hyperbolic worlds. If you haven't seen the first 2 videos in the series, make sure you watch them first or else this may be confusing.

Devlog #1: Non-Euclidean Geometry Explained - Hyperbo...
Devlog #2: Spherical Geometry Is Stranger Than Hyperb...

Hyperbolica on Steam: https://store.steampowered.com/app/12...
Trailer: Hyperbolica: A Non-Euclidean Adventure [Ol...
Discord Server: Discord: discord
Merch: https://crowdmade.com/collections/cod...

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

*CORRECTIONS:*
I just found out that Gyrovectors are indeed associative. I misunderstood the context of the claim in the paper, which was referring to mobius addition, not the full gyrovector addition which corrects the associativity. I apologize for the mistake!

Other references from video:
Miegakure: https://miegakure.com/
Ungar's original paper about Gyrovector Spaces:
https://www.researchgate.net/publicat...

Music:
Horrible - Mela
https://melagroup.bandcamp.com/album/...

20 Comments

@nullarmo 6 years ago

In one of the levels you should place a large rock at coordinate "ULURU"

@ghb323 6 years ago

gotta say, programming a true non-euclidean game without overuse of portals is itself a puzzle.

@TrackpadProductions 6 years ago

"If you haven't seen the first 2 videos in the series, make sure you watch them first or else this may be confusing."

Oh, don't worry, this is definitely still flying over most of our heads anyways...

@toricon8070 6 years ago

CodeParade: Gyrovector translations aren't commutative
Me: Yeah, sure, I can deal with that.
Codeparade: ... or associative.
Me: wait

@metanim1 6 years ago

This is literally the coolest game I have ever seen. I will be buying it as soon as it comes out!

@yptrumpet 6 years ago

The most fascinating part of these videos is that despite my fear of these topics flying over my head, the explanations are so carefully presented that I still feel like I understand. This person is a great teacher.

@umbranocturna6342 6 years ago

This is one of the few things making me not hate my Linar algebra and Calculus classes anymore.

@Meg_A_Byte 6 years ago

Why don't you just use Cinema 4D for the 4D game???

@fozzzyyy 6 years ago

2:12 Getting flashbacks to making a Rubik's cube solver

@nerdporks 6 years ago (edited)

I came for answers, and... boy did I get them.

So that’s why Miegakure’s been in development for so long? Yeah, I sure realize why now!

And I like how you reused your spherical geometry map, the one with the house and the fence, in demonstrating constructing hyperbolic geometry maps!

@youtubeuniversity3638 6 years ago (edited)

This is top Youtube result for Gyrovector.

@annnnne 5 years ago

“If you have not heard of ‘gyrovectors’…” when I in fact not heard of most of what he talks about, yet cannot stop watching.

@Rocky_PG 6 years ago

And here I am staring at my calculus problems for school and going “wtf why are there more letters than numbers?”
Jesus Christ, I’m looking forward to trying to play this game!

@GreenDave113 6 years ago (edited)

Virtual Reality mode

This is already amazing, but I feel like these types of games are an even bigger boom in VR. And theoretically, I don't think you would need to change the rendering pipeline too much to add a VR mode. I'm not sure what type of user interactions you wanna add, but Unity has really good VR tools. And I really think it would boost the game's visibility, since there aren't many VR games yet, especially as unique looking as this.

And actually feeling the distance of things change would I think add a whole another dimension (literally) to the visuals.