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, macOS, Windows

KaleidoPaint

Create colorful symmetrical paintings based on the 17 tiling patterns.

iOS

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, macOS, Windows

4D Draw

Draw simple 4D figures (for geometry students).

iOS, macOS

Hyperbolic Games

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

iOS, macOS

Crystal Flight

Fly freely in crystals (for everyone).

iOS, macOS

Other Resources

The Shape of Space 3rd edition

A gentle introduction to topology and geometry, with full-color figures throughout.

How to Sew a Hyperbolic Blanket

Step-by-step instructions for sewing a hyperbolic surface from fleece.

Kali

Move & Turn

SnapPea

Non-Euclidean billiards in VR

Virtual reality simulations of curved spaces

Recent Updates

2021-01-25	Crystal Flight	(iOS) User interface rewritten in SwiftUI. (iOS) iOS version now runs on Apple Silicon Macs as well as on iPhones and iPads. (iOS) More flexible image export.
2021-01-25	(all applications)	MacOS versions run natively on both Apple Silicon and Intel Macs.
2021-01-25	Torus Games	More efficient compression of Jigsaw Puzzle images for improved wide-color support and reduced download size.

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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.