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Features & Capabilities

The Hyperbolic Games are similar in spirit to the Torus Games, but played on curved surfaces. Most people will want to start with the Torus Games instead, which offer a selection of easily playable games, designed for children ages 10 and up, all implemented in multi-connected spaces in 2 and 3 dimensions.

The Hyperbolic Games, by contrast, are for math students — advanced undergraduates and beginning graduate students. These games are more challenging than the Torus Games because they combine a multi-connected topology with a non-Euclidean geometry. Mathematically they illustrate the following:

  • The hyperbolic plane, as a live scrollable object.

  • The under-appreciated fact that the two traditional models of the hyperbolic plane are simply different views of the same fixed-radius surface in Minkowski space: the Beltrami-Klein model corresponds to a viewpoint at the origin (central projection) while the Poincaré disk model corresponds to a viewpoint one radian further back (stereographic projection). Players may pinch-to-zoom to pass from one to the other, or stop to view the model from any other distance.

  • The strong — but also under-appreciated — correspondence between the hyperbolic plane and an ordinary sphere. In particular, central projection of the sphere corresponds to the Beltrami-Klein model of the hyperbolic plane, and stereographic projection of the sphere corresponds to the Poincaré disk model of the hyperbolic plane.

  • The Klein quartic surface, viewed with its natural geometry. The sudoku puzzles take full advantage of the Klein quartic’s tremendous amount of symmetry.

User Growth & Download Statistics

App
By:
Jeff Weeks
Rating:
4.60
(10)
4.60
Version:
2.1.4 Last updated: 2020-09-04
Version code:
837570162
Creation date:
2018-02-24
Compatible devices:
Size:
2.75MB
URLs:
Website ,Privacy policy
Full description:
See detailed description
Source:
Apple Apps Store
Data ingested on:
2026-06-14
Compare stats and ranking:

Contact the developer

Chrome-Stats does not own this Apple app. Please use these information below to contact the Apple app developer.
Developed by:
Jeff Weeks
Apple Apps Store
https://apps.apple.com/us/app/hyperbolic-games/id1352457149
Website:
http://www.geometrygames.org/HyperbolicGames

User Reviews

As soon as I tapped the screen to start, it popped up an advertisement so I deleted this app.
by da*****, 2025-02-16

Could You Add Mahjong and sokoban and chess and golf and 4 in a row for iOS 15!
by Sp*****, 2024-12-29

Can you please add more games like minesweeper and flappy bird?
by us*****, 2020-07-08
View all user reviews ›

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