New KaleidoTile draws hyperbolic tilings Escher-style.

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.

Mac OS X, Windows

info | download

Kali

Children of all ages create beautiful art based on the 17 tiling patterns.

Windows, Mac Classic

info | download

KaleidoTile

Explore polyhedra and tessellations while creating colorful works of art.

Mac OS X, Windows

info | download

Curved Spaces

Math and physics students experience flight in a multiconnected universe.

Mac OS X, Windows

info | download

Recent Updates

2009-05-21	KaleidoTile	Added user-adjustable tiling radius
2009-05-17	Hyperbolic Games	Version 1.0 (available below) Improved hand cursor visibility on sphere Improved Help file and Study Questions
2009-05-03	Hyperbolic Games	Version 1.0β
2009-04-22	Curved Spaces	Graphics code rewritten for current-generation graphics hardware
2009-04-22	KaleidoTile	Minor adjustment for older Windows PCs
2009-04-10	KaleidoTile	Draws full hyperbolic tilings, Escher-style Lets user rescale Euclidean tilings Graphics code rewritten for current-generation graphics hardware

Other Resources

	Exploring the Shape of Space
	Two-week geometry unit introduces students grades 6-10 to multiconnected universes. info \| download
	Hyperbolic Games
	Play Sudoku, Pool and Maze on hyperbolic surfaces. For undergraduate geometry classes. info \| download
	SnapPea
	Researchers create and study 3-manifolds. No longer maintained, but still available. info \| download

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Contact Jeff Weeks

This material is based upon work supported by the National Science Foundation under Grant No. 0822022. 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.