Curved Spaces

Curved Spaces is a flight simulator for multiconnected universes. Such toy universes are the 3D analog of the torus and Klein bottle on which the simpler 2D Torus Games are played. Because light itself wraps around such a space, inhabitants see their universe’s contents repeating in a crystaline pattern, like a hall of mirrors but with no reflection.

Curved Spaces is intended for undergraduates and graduate students studying 3-manifolds, and has also found use as a research tool in topology and cosmology.

Languages	English, French, Japanese
License	Freeware (GNU General Public License)
FAQ	Geometry Games FAQ
Last update	29 October 2009 (Version 3.2) Graphics code rewritten (OpenGL 1.5 → OpenGL 2.0) Added spaceship to show user's position and orientation Various small improvements (Mac) Menu handling revised for Mac OS 10.6
Download	Curved Spaces for Mac OS 10.4 or later (1.5 MB) Curved Spaces for Windows XP or later (1.3 MB) Curved Spaces Source Code (1.6 MB)

Questions? Contact Jeff Weeks.

With deepest thanks to the translators for their thorough, careful and most professional translation of Curved Spaces: Roland Lehoucq, 竹内建 (Tatsu Takeuchi).

View this page in:   English   Français   日本語

This material is based upon work supported by the National Science Foundation under Grant No. 0822022. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.

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