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Version
2.1.4
Size
2.75 Mb
Updated
3 years ago
Released
24 Feb 2018
Screenshots
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.
Estimates
Search Keywords 1
| # | Term | Country | Place | Priority |
|---|---|---|---|---|
| 1 | geometry sudoku | #20 |
Competitors
Availability
Devices
iPhone5s
iPadAir
iPadAirCellular
iPadMiniRetina
iPadMiniRetinaCellular
iPhone6
iPhone6Plus
iPadAir2
iPadAir2Cellular
iPadMini3
iPadMini3Cellular
iPodTouchSixthGen
iPhone6s
iPhone6sPlus
iPadMini4
iPadMini4Cellular
iPadPro
iPadProCellular
iPadPro97
iPadPro97Cellular
iPhoneSE
iPhone7
iPhone7Plus
iPad611
iPad612
iPad71
iPad72
iPad73
iPad74
iPhone8
iPhone8Plus
iPhoneX
iPad75
iPad76
iPhoneXS
iPhoneXSMax
iPhoneXR
iPad812
iPad834
iPad856
iPad878
iPadMini5
iPadMini5Cellular
iPadAir3
iPadAir3Cellular
iPodTouchSeventhGen
iPhone11
iPhone11Pro
iPadSeventhGen
iPadSeventhGenCellular
iPhone11ProMax
iPhoneSESecondGen
iPadProSecondGen
iPadProSecondGenCellular
iPadProFourthGen
iPadProFourthGenCellular
Pricing by country
| Country | Price |
|---|---|
| Canada | free |
| China | free |
| France | free |
| Germany | free |
| Italy | free |
| Netherlands | free |
| Portugal | free |
| Spain | free |
| UK | free |
| India | free |
| Japan | free |
| Korea, Republic Of | free |
| Poland | free |
| Russia | free |
| Turkey | free |
| USA | free |
| Korea, Republic Of | free |
| Ukraine | free |
