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, 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.
iOS, Android
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, Android, macOS, Windows
Deutsch English italiano 日本語 русский
4D Draw icon
4D Draw
Draw simple 4D figures (for geometry students).
iOS, Android, 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

Recent Updates

2019-01-14 KaleidoTile
(iOS) Bug Fix: Correctly loads photos on iPhones with 3x display resolution.
2018-11-13 all applications
(iOS) Updated for iOS 11 and 12
(macOS) Updated for macOS 10.13 and 10.14
2018-09-18 Crystal Flight
New: Crystal Flight for iOS and macOS
2018-08-08 Curved Spaces
(iOS) New: Curved Spaces for iOS
(iOS) Uses tilt-to-steer interface (with thanks to Daniela Bigatti and Mark Bell for this idea)
(macOS and iOS) Graphics re-written using Metal
2018-04-21 KaleidoTile
(iOS) New: KaleidoTile for iOS
(iOS) Lets you decorate your polyhedra and tilings using images from your photo library or images taken directly with your device's camera
(macOS and iOS) Graphics re-written using Metal
2018-02-24 Hyperbolic Games
(iOS) New: Hyperbolic Games for iOS
(macOS) User interface completely re-written to eliminate the hard-to-use internal hand cursor in favor an easy-to-use standard cursor
(macOS and iOS) Graphics re-written using Metal

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.
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.