Hyperbolic Games
Educación
Gratis
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.
Calificaciones y reseñas
Esta app no ha recibido suficientes calificaciones ni reseñas para mostrar un resumen.
Supports Wide Color displays
El desarrollador (Jeff Weeks) indicó que las prácticas de privacidad de la app pueden incluir el manejo de datos que se describe a continuación. Para obtener más detalles, consulta la política de privacidad del desarrollador .
No se recopilan datos
El desarrollador no recopila ningún dato en esta app.
Accesibilidad
El desarrollador aún no ha indicado cuáles funciones de accesibilidad admite esta app. Obtén detalles
Ficha técnica
- Vendedor
- Jeff Weeks
- Tamaño
- 2.9 MB
- Categoría
- Educación
- Compatibilidad
Requiere iOS 12.0 o posterior.
- iPhone
Requiere iOS 12.0 o posterior. - iPad
Requiere iPadOS 12.0 o posterior. - iPod touch
Requiere iOS 12.0 o posterior.
- Idiomas
- Inglés
- Edad
4+
- 4+
- Copyright
- © 2020 Jeff Weeks