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.

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.