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.
iPad
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
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

2015-07-31 KaleidoPaint
Gesture recognition works reliably even on newer iPads with high-precision touchscreens
Color picker shows selected color's location in the color space
A “realign” button removes any zoom, rotation or skew, to restore a drawing's original placement on the screen
(With thanks to Francine Champagne for reporting these issues and testing the revised app)
2015-05-14 4D Maze
4D Shear slider added
Italian translation added, thanks to Daniela Bigatti
German translation added, thanks to Bernd Macheleidt and Sascha Gritzbach
2015-05-04 4D Draw
(Mac) Lock and unlock drawings
(Mac) Allows multiple windows
(Android) “Up” navigation
(Android) More space for figure names

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.