Jeff Weeks’

Topology and Geometry Software

Torus Games

Eight familiar games introduce children age 10 and up to the concept of a finite yet unbounded universe.

iOS, Android, macOS, Windows

KaleidoPaint

Create colorful symmetrical paintings based on the 17 tiling patterns.

iOS, Android

KaleidoTile

Explore polyhedra and tessellations while creating colorful works of art.

iOS, macOS, Windows

Curved Spaces

Fly in a multiconnected universe (for math and physics students).

iOS, macOS, Windows

4D Maze

Have fun solving 4D mazes (for everyone).

iOS, Android, macOS, Windows

4D Draw

Draw simple 4D figures (for geometry students).

iOS, Android, macOS

Hyperbolic Games

Play Sudoku, Pool and Maze on hyperbolic surfaces (for geometry students).

iOS, macOS

Recent Updates

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
	Children of all ages create beautiful art based on the 17 tiling patterns.
	Move & Turn
	Transform any Platonic or Archimedean solid into any other.
	How to Sew a Hyperbolic Blanket
	Step-by-step instructions for sewing a hyperbolic surface from fleece.
	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.