Jeff Weeks’

Topology and Geometry Software

Torus Games icon
Torus Games
Eight familiar games introduce children age 10 and up to the concept of a finite yet unbounded universe.
Android, iOS, Mac, Windows
Deutsch ελληνικά English español suomi français italiano 日本語 한국어 Nederlands português русский tiếng Việt 简体中文 繁體中文
KaleidoPaint icon
Create colorful symmetrical paintings based on the 17 tiling patterns.
العربية Deutsch English español français italiano 日本語 Nederlands русский 简体中文 繁體中文
KaleidoTile icon
Explore polyhedra and tessellations while creating colorful works of art.
Mac, Windows
Cymraeg English français italiano 日本語 한국어 português
Curved Spaces icon
Curved Spaces
Fly in a multiconnected universe (for math and physics students).
Mac, Windows
English español français 日本語 简体中文 繁體中文
4D Maze icon
4D Maze
Have fun solving 4D mazes (for everyone).
Android, iOS, Mac, Windows
English 日本語 русский
4D Draw icon
4D Draw
Draw simple 4D figures (for geometry students).
Android, iOS, Mac

Recent Updates

2015-03-27 4D Draw
Version for Android added
2015-02-26 4D Maze
Version for iOS added
2015-02-18 4D Maze
Version for Android added
2015-02-12 4D Maze
Version for Windows added
Russian added, thanks to Maria Trnkova
2015-02-01 4D Maze
Japanese added, thanks to Tatsu Takeuchi
2015-01-28 4D Maze
New application
2015-01-06 4D Draw
(iOS) Drag thumbnails to reorder drawings
(iOS) Lock/unlock drawings
2014-12-16 KaleidoPaint
Drag thumbnails to reorder drawings
Lock/unlock drawings
Good performance even with thousands of complex drawings
(Thanks to QA testers: Francine Champagne, Carmen Meléndez-Lugo, Jeff Racinski and Adam Weeks Marano)

Other Resources

Kali icon Kali
Children of all ages create beautiful art based on the 17 tiling patterns. info | download
Move & Turn icon Move & Turn
Transform any Platonic or Archimedean solid into any other. info | download
Hyperbolic Blanket icon How to Sew a Hyperbolic Blanket
Step-by-step instructions for sewing a hyperbolic surface from fleece. instructions
Hyperbolic Games icon Hyperbolic Games
Play Sudoku, Pool and Maze on hyperbolic surfaces (for undergraduate geometry classes). info | download
SnapPea icon SnapPea
Create and study 3-manifolds (for researchers). info | download

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Contact Jeff Weeks

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.