| Developer: | Jeff Weeks (9) | ||
| Price: | Free | ||
| Rankings: | 0 | ||
| Reviews: | 0 Write a Review | ||
| Lists: | 0 + 0 | ||
| Points: | 0 + 10 (4.6) ¡ | ||
| App Store | |||
Description
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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- Jeff Weeks
- Platforms: iOS Apps (4) macOS Apps (4) macOS Games (1)
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- Points: 1 + 143 ¡
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http://www.geometrygames.org/HyperbolicGames «Hyperbolic Games» is a Education app for iOS, developed by «Jeff Weeks». It was first released on and last updated on . This app is currently free. This app has not yet received any ratings or reviews on AppAgg. On App Store, the current store rating is 4.6 based on 10 votes. Available languages: English. AppAgg continuously tracks the price history, ratings, and user feedback for «Hyperbolic Games». Subscribe to this app or follow its RSS feed to get notified about future discounts or updates.
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