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
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KaleidoPaint icon
Create colorful symmetrical paintings based on the 17 tiling patterns.
iOS, Android
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KaleidoTile icon
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
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4D Maze icon
4D Maze
Have fun solving 4D mazes (for everyone).
iOS, Android, Mac, Windows
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4D Draw icon
4D Draw
Draw simple 4D figures (for geometry students).
iOS, Android, Mac

Recent Updates

2016-09-06 4D Draw
(iOS) Graphics rewritten using Metal, with fallback to OpenGL ES on older devices
(iOS) 4D Draw is now “device-assignable” for easy installation on school iPads via MDM
2016-08-26 KaleidoPaint
(iOS) Added “Save Tileable Rectangle” (thanks to Ellie Baker and others for this suggestion)
(iOS) Supports 400%-size image export on iPad Pro (thanks to Herman van Boeijen for reporting this bug)
(iOS) KaleidoPaint is now “device-assignable” for easy installation on school iPads via MDM (thanks to James Eichmiller for this suggestion)
2016-07-19 Curved Spaces
(Win) Added touchscreen-compatible version for use on Windows 10 touchscreen devices (thanks to Bevin Maultsby for reporting this issue)
2016-07-16 4D Maze
(iOS) Graphics rewritten using Metal, with fallback to OpenGL ES on older devices

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.