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, Android, 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
KaleidoPaint
Create colorful symmetrical paintings based on the 17 tiling patterns.
iOS, Android
العربية Deutsch English español français italiano 日本語 Nederlands русский 简体中文 繁體中文
KaleidoTile icon
KaleidoTile
Explore polyhedra and tessellations while creating colorful works of art.
Mac, 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).
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).
iOS, Android, Mac, Windows
Deutsch English italiano 日本語 русский
4D Draw icon
4D Draw
Draw simple 4D figures (for geometry students).
iOS, Android, Mac
English

Recent Updates

2016-04-21 KaleidoTile
Chinese translation added, thanks to Tangsheng Jiao
2016-04-01 KaleidoPaint
Android version added
(iOS) HSB color picker (thanks to Herman van Boeijen for requesting it)
2016-02-27 KaleidoPaint
Updated for iOS 8 and 9
Added menu to re-select any line thickness already present in drawing (thanks to Hilary Frye for requesting this feature)
Symmetry group changes now undoable
3-finger reshaping (skew) now undoable
2016-02-03 Torus Games,
4D Maze,
4D Draw
(iOS) Updated for iOS 8 and 9
2016-02-03 Torus Games
(iPad) “Tiling View” added

Other Resources

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

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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.