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.


(click to enlarge in web browser)
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.