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.
iOS, macOS, 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.
iOS, macOS, Windows
Cymraeg English français italiano 日本語 한국어 português 简体中文 繁體中文
Curved Spaces icon
Curved Spaces
Fly in a multiconnected universe (for math and physics students).
iOS, macOS, Windows
English français 简体中文 繁體中文
4D Maze icon
4D Maze
Have fun solving 4D mazes (for everyone).
iOS, macOS, Windows
Deutsch English italiano 日本語 русский
4D Draw icon
4D Draw
Draw simple 4D figures (for geometry students).
iOS, macOS
Hyperbolic Games icon
Hyperbolic Games
Play Sudoku, Pool and Maze on hyperbolic surfaces (for geometry students).
iOS, macOS
Crystal Flight icon
Crystal Flight
Fly freely in crystals (for everyone).
iOS, macOS

Other Resources

Shape of Space icon
The Shape of Space 3rd edition
A gentle introduction to topology and geometry, with full-color figures throughout.
Hyperbolic Blanket icon
How to Sew a Hyperbolic Blanket
Step-by-step instructions for sewing a hyperbolic surface from fleece.
Kali icon Kali Move & Turn icon Move & Turn SnapPea icon SnapPea

Recent Updates

2020-04-02 all applications
(iOS) Launch-screen format satisfies new App Store requirement
(iOS) Toolbar height adapts to default for iPhone or iPad
2019-11-13 Curved Spaces
(iOS, macOS) Added spaces in support of The Shape of Space, 3rd edition
2019-11-13 Torus Games,
Curved Spaces,
4D Maze,
4D Draw,
Hyperbolic Games,
Crystal Flight
(macOS) Updated for macOS 10.15
2019-10-12 Torus Games,
Curved Spaces,
4D Maze,
Crystal Flight
(iOS) Updated for iOS 13

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Contact Jeff Weeks

This material is based upon work supported by the National Science Foundation under Grant No. 1503701. 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.