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HyperRogue: A puzzle roguelike in a non-Euclidean world

roguetemple.com

11–20 of 38 posts

Re: HyperRogue: A puzzle roguelike in a non-Euclidean world

#11
post #10

There’s another game being developed in a semi-3D hyperbolic geometry called Hyperbolica. The dev makes some fantastic videos [1]. [1] https://youtu.be/yY9GAyJtuJ0

I'm at a standing desk on a balance board and I had to get off. I got disorientated and nauseous just watching that. I can't even imagine spherical geometry with VR.

"Disorientated?"

Re: HyperRogue: A puzzle roguelike in a non-Euclidean world

#14
The point about rendering hyperbolic 2D using the Poincare embedding is that you see more of the game world, but what is "closest" is larger, somewhat like POV 3D but unlike traditional roguelikes.

John Lamping invented a file browser based on hyperbolic 2D [1,2].

[1]: https://en.wikipedia.org/wiki/Hyperbolic_tree

[2]: http://www.cs.kent.edu/~jmaletic/cs63903/papers/Lamping96.pd...

Re: HyperRogue: A puzzle roguelike in a non-Euclidean world

#15
post #14

The point about rendering hyperbolic 2D using the Poincare embedding is that you see more of the game world, but what is "closest" is larger, somewhat like POV 3D but unlike traditional roguelikes. John Lamping invented a file browser based on hyperbolic 2D [1,2]. [1]: https://en.wikipedia.org/wiki/Hyperbolic_tree [2]: http://www.cs.kent.edu/~jmaletic/cs63903/papers/Lamping96.pd...

Very interesting! Here is the video of same file browser.

https://www.youtube.com/watch?v=8bhq08BQLDs

Re: HyperRogue: A puzzle roguelike in a non-Euclidean world

#16
Cool! That inspired me to try to generate such a rendering myself, but googling it is not as easy as it seems. Sure, there is an article on Wikipedia about "https://en.wikipedia.org/wiki/Order-6_hexagonal_tiling", about a "regular tiling of the hyperbolic plane" with hexagons, but the hexagons themselves in that tiling aren't regular...

EDIT: that might be because they're not hexagons, they're heptagons (https://en.wikipedia.org/wiki/Heptagonal_tiling). Duh...

Re: HyperRogue: A puzzle roguelike in a non-Euclidean world

#17

There’s another game being developed in a semi-3D hyperbolic geometry called Hyperbolica. The dev makes some fantastic videos [1]. [1] https://youtu.be/yY9GAyJtuJ0

Ha! the title of that video "Spherical Geometry Is Stranger Than Hyperbolic" is very insightful. Due to the convergence of the light rays on positive curvature, objects appear larger the further they are! Hyperbolic geometry is like euclidean with a spacious horizon. But spherical geometry is a wickedly different thing. All your "sky" is covered by the single point at your antipodes (when it's not occluded by a tiny object very far away from you).

Re: HyperRogue: A puzzle roguelike in a non-Euclidean world

#19

There’s another game being developed in a semi-3D hyperbolic geometry called Hyperbolica. The dev makes some fantastic videos [1]. [1] https://youtu.be/yY9GAyJtuJ0

Also see here https://www.youtube.com/channel/UCMgVKCsG_7z1jpdHDR_TwUw for development of HyperBlock, a hyperbolic Minecraft.

Re: HyperRogue: A puzzle roguelike in a non-Euclidean world

#20

There’s another game being developed in a semi-3D hyperbolic geometry called Hyperbolica. The dev makes some fantastic videos [1]. [1] https://youtu.be/yY9GAyJtuJ0

I was just about to link to code parade! He's done suck amazing things with real time rendering and perspective, it's great
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