Hyperbolic Games 4+
Jeff Weeks
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- Gratis
Screenshot
Descrizione
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.
Novità
Versione 2.1.4
Supports Wide Color displays
Valutazioni e recensioni
Privacy dell’app
Lo sviluppatore, Jeff Weeks, ha indicato che le procedure per la tutela della privacy dell’app potrebbero includere il trattamento dei dati descritto di seguito. Per ulteriori informazioni, consulta l’informativa sulla privacy dello sviluppatore.
Dati non raccolti
Lo sviluppatore non raccoglie alcun dato da quest’app.
Le procedure per la tutela della privacy possono variare, per esempio, in base alle funzioni che usi o alla tua età. Ulteriori informazioni
Informazioni
- Fornitore
- Jeff Weeks non si identifica come operatore commerciale per questa app. Se ti trovi all’interno dello Spazio economico europeo, i diritti dei consumatori non si applicano agli accordi tra te e il fornitore.
- Dimensione
- 2,9 MB
- Categoria
- Istruzione
- Compatibilità
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- iPhone
- Richiede iOS 12.0 o versioni successive.
- iPad
- Richiede iPadOS 12.0 o versioni successive.
- iPod touch
- Richiede iOS 12.0 o versioni successive.
- Lingue
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Inglese
- Età
- 4+
- Copyright
- © 2020 Jeff Weeks
- Prezzo
- Gratis