Torus Games Icon Torus Games

Nine familiar games introduce children ages 10 and up to the mind-stretching possibility of a “multiconnected universe”. Games include: tic-tac-toe, mazes, crossword puzzles, word search puzzles, jigsaw puzzles, chess, pool, gomoku and apples. While playing the games, kids develop an intuitive visual understanding of a model universe that is finite yet has no boundary. Players who master the games on the torus may move on to try them on the more challenging Klein bottle. Even though the games were designed with kids in mind, adults interested in topology, geometry and cosmology have also found them enjoyable and enlightening.

Languages German, Greek, English, Spanish, French, Italian, Japanese, Korean, Dutch, Portuguese, Russian, Vietnamese
License Freeware (GNU General Public License)
FAQ Geometry Games FAQ
Last update
7 February 2012 (Version 4.6.5)
Improved Copy/Save
Download Torus Games for Mac OS 10.6 or later (3.1 MB)
Torus Games for Windows XP or later — more recent hardware (3.1 MB)
Torus Games for Windows XP or later — all hardware (3.1 MB)
Torus Games for iOS 4.3 or later (4.0 MB)
Torus Games Classic for iOS 3.1 - 4.2 (4.4 MB)
Torus Games Source Code (4.7 MB)
Older versions…

Questions? Contact Jeff Weeks.

With deepest thanks to the translators: Frank Lutz and Christina Laternser, Σταύρος Παπαδόπουλος (Stavros Papadopoulos), Cristóbal Camarero and Maria de la Paz Álvarez-Scherer, Jean-Philippe Uzan and Roland Lehoucq, Carlo Petronio, 竹内建 (Tatsu Takeuchi), 송현종 (Hyun-Jong Song), Jacobien Carstens, Atractor, Алексей и Ксения Пронины (Alexey and Kseniya Pronin) and Nguyễn Văn Tân

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This material is based upon work supported by the National Science Foundation under Grant No. 1136261. 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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