Exotic Geometries
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In HyperRogue 11.2 you can explore all the eight Thurston geometries.
See the blogpost for a simple description and some videos, and the geometries page for a longer description with some references. The easiest way to play (in 11.2b) is: menu -> special modes -> racing -> racing in Thurston geometries.
Also see a related question on MathOverflow.