Portals to Non-Euclidean Geometries

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: 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 (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: