Portals to Non-Euclidean Geometries
ZenoRogue ZenoRogue
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 Published On Feb 23, 2022

On this tour, portals will take us to various non-Euclidean geometries. This is not Minecraft!

A cool holonomy effect happened during this tour, but it was not explained by our guide Tehora! Have you found it? Please tell us in the comments!

Tehora Rogue's channel:    / @tehorarogue  

Visited geometries:

Three-dimensional Euclidean space 𝔼³ (cyan floors, music: Icy Land by Shawn Parrotee)

Product space ℍ²×ℝ (green floors, music: Living Caves by Shawn Parrotee)

Three-dimensional hyperbolic space ℍ³ (yellow floors, music: R'Lyeh by Shawn Parrotte)

Product space 𝕊²×ℝ (blue floors, music: Ocean by Will Savino)

Three-dimensional spherical space 𝕊³ (purple floors, music: Land of Eternal Motion by Shawn Parrotte)

Solv (brownish floors, music: Lost Mountain by Lincoln Domina)

HyperRogue soundtrack under the Creative Commons BY-SA 3.0 license

An interactive version of this scene should be added to RogueViz soon. We need to make it work in VR first!

EDIT: available in RogueViz 12.0L https://zenorogue.itch.io/rogueviz (RogueViz demos ⟶ portal collection ⟶ [press Enter multiple times or 9] ⟶ inter-geometric portals ⟶ run)

Play HyperRogue to have more fun with non-Euclidean geometry! To learn more about non-Euclidean geometry, play HyperRogue or visit our discord:   / discord  

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