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, 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
KaleidoPaint
Create colorful symmetrical paintings based on the 17 tiling patterns.
iOS
العربية Deutsch English español français italiano 日本語 Nederlands português русский 简体中文 繁體中文
KaleidoTile icon
KaleidoTile
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 español français italiano 日本語 português Türkçe 简体中文 繁體中文
4D Maze icon
4D Maze
Have fun solving 4D mazes (for everyone).
iOS, macOS, Windows
Deutsch English italiano 日本語 polski português русский Türkçe
4D Draw icon
4D Draw
Draw simple 4D figures (for geometry students).
iOS, macOS
English italiano português
Crystal Flight icon
Crystal Flight
Fly freely in crystals (for everyone).
iOS, macOS
English italiano português

Other Resources

Shape of Space icon
The Shape of Space 3rd edition English
A gentle introduction to topology and geometry, with full-color figures throughout.
Arabic translation: شكل الفضاء العربية
Hyperbolic Blanket icon
How to Sew a Hyperbolic Blanket العربية English 日本語
Step-by-step instructions for sewing a hyperbolic surface from fleece.
Hyperbolic Games
Kali
SnapPea
Non-Euclidean billiards in VR
Body coherence in curved-space virtual reality games

Recent Updates

2023-10-26 KaleidoPaint,
4D Draw
Removed temporary code needed to work around a bug in iOS 17.0.x. New versions run correctly on iOS 15, 16 and 17.1 or later.
2023-10-3 4D Draw
Includes workaround for bug in iOS 17.0.2
Navigation bar includes drop-down menu that lets you (1) export your drawing's source code and (2) rename your drawing (iOS 17 only)
Saves exported images to folder “Exported Images/<drawing name>/”
Optionally exports drawings with transparent background
2023-10-2 KaleidoPaint
Includes workaround for bug in iOS 17.0.2
Navigation bar includes drop-down menu that lets you (1) export your drawing's source code and (2) rename your drawing (iOS 17 only).
2023-10-1 4D Maze
Entire app re-written in Swift and SwiftUI
2023-09-13 KaleidoPaint
Aspect ratio snaps more easily to 1:1 ratio for perfectly square patterns.
Shear snaps to half-integers for precise "half drop" patterns. Thanks to Rebecca Elfast for this suggestion.
Drawing snaps to 90° alignments.

View this page in:
العربية   English   Español   Français   Italiano   日本語   Português   Русский

Contact Jeff Weeks