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Geometry with a Strange Name

This is a video about the last Thurston geometry we have not previously explained in our videos, "the universal cover of the 2x2 special linear group over reals". Why such a name? An exciting travel through spaces of motion, product, and twisted product geometries! Uses fragments of our earlier videos: Non-Euclidean Third Dimension in Games:    • Non-Euclidean Third Dimension in Games   Nil Geometry Explained!:    • Nil geometry explained!   Portals to Non-Euclidean Geometries:    • Portals to Non-Euclidean Geometries   Made with RogueViz, our non-Euclidean geometry engine. To learn more, watch these videos, play HyperRogue, or visit our discord:   / discord   Narrated by    / @tehorarogue   Music from the HyperRogue soundtrack: (CC-BY-SA) E2xS1 : Graveyard (Shawn Parrotte) twisted S2xS1: Ivory Tower (Will Savino) twisted H2xS1: Ocean (Will Savino) twisted H2xR: Lost Mountain (Lincoln Domina) Starring (in the order of appearance): Characters from HyperRogue: Princess, Vizier, Handsome Gardener, Blue Raider, Desert Man, Ratling Avenger, Rogue, Viking, (unidentified) Knight, Rusałka, Green Raider, Yeti, Ranger, Narcissist, Golem, Necromancer, Cultist, Fire Fairy, Flail Guard, Pirate, Fat Guard, Yendorian Researcher, (unidentified) Bird Maxwell Cat: https://sketchfab.com/3d-models/dingu... (CC-BY 4.0) Spaceship and Asteroids from Relative Hell https://zenorogue.itch.io/relative-hell