| Desarrollador: | Jeff Weeks (9) | ||
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Descripción
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
- Plataformas: iOS Aplicaciones (4) macOS Aplicaciones (4) macOS Juegos (1)
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Información adicional
- Versión: 2.1.4
- ID: org.geometrygames.HyperbolicGames-mobile
- Categoría:
iOS Aplicaciones›Educación - Sistemas operativos:
iPad,iPhone,iOS 12.0 y versiones posteriores - Tamaño:
3 Mb - Idiomas admitidos:
English - Clasificación de contenido:
4+ - App Store Puntuación:
4.6(10) - Actualizado:
- Fecha de lanzamiento:
Contactos
http://www.geometrygames.org/HyperbolicGamesTambién te puede interesar
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