Description
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.
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Games
Can you please add more games like minesweeper and flappy bird?
usheksWed, Jul 8, 2020
United States
Infinite fun!
It’s fun! I have a idea, add a few different geometries or add a border to some games, it would be cool to see sudoku with 5 squares around a vertex! Or pool with a ton of curviture!
bdjbvfbvThu, Sep 26, 2019
United States
Download & Revenue
About
Bundle Id
org.geometrygames.HyperbolicGames-mobileMin Os. Version
12.0Release Date
Sat, Feb 24, 2018Update Date
Fri, Sep 4, 2020Content Rating
Has IMessage
NoSupport Watch
NoSupport Siri
NoFile Size
2.75MBHas Game Center
NoFamily Sharing
NoSupport Passbook
NoSupported Languages
EnglishWhat's New
version
2.1.4updated
3 years agoSupports Wide Color displays
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