Curved Spaces 3.0

Curved Spaces is a flight simulator for finite universe models (“3‑manifolds”) or, if you prefer, for tilings of 3-dimensional spherical, flat and hyperbolic spaces. To get started, please choose the page How to fly the spaceship from the index on the left.


 


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The view inside a hyperbolic dodecahedron with mirrored walls and all right angles. A single galaxy sits at the dodecahedron’s center. Alternatively, you may equally well interpret this picture as a tiling of 3-dimensional hyperbolic space by an infinite number of identical right-angled dodecahedra. Either way, the image is somewhat atypical: most of the Sample Spaces that come with this package represent universes that “wrap around” and connect up with themselves without reflection.