写的 - Jeff Weeks
1. - 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).
2. 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.
3. 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.
4. The Hyperbolic Games are similar in spirit to the Torus Games, but played on curved surfaces.
5. The Hyperbolic Games, by contrast, are for math students — advanced undergraduates and beginning graduate students.
6. - The strong — but also under-appreciated — correspondence between the hyperbolic plane and an ordinary sphere.
7. These games are more challenging than the Torus Games because they combine a multi-connected topology with a non-Euclidean geometry.
8. - The hyperbolic plane, as a live scrollable object.
9. Players may pinch-to-zoom to pass from one to the other, or stop to view the model from any other distance.
10. The sudoku puzzles take full advantage of the Klein quartic’s tremendous amount of symmetry.
11. - The Klein quartic surface, viewed with its natural geometry.
或按照以下指南在PC上使用 :
选择你的电脑版本:
软件安装要求:
可直接下载。下载如下：
现在，打开已安装的模拟器应用程序并查找其搜索栏。一旦找到它，请键入 Hyperbolic Games 在搜索栏并按搜索。点击 Hyperbolic Games应用程序图标。一个 窗口 Hyperbolic Games 在Play商店或应用程序商店将打开并且它将在您的模拟器应用程序中显示商店。现在，按下安装按钮并像在iPhone或Android设备上一样，您的应用程序将开始下载。现在我们都完成了。
你会看到一个名为“所有应用程序”的图标。
点击它，它会带你到一个包含所有已安装应用程序的页面。
你应该看到 图标。点击它并开始使用该应用程序。
下载 Hyperbolic Games 对于Mac OS (Apple)
| 下载 | 开发人员 | 评论 | 评分 |
|---|---|---|---|
| Free 对于Mac OS | Jeff Weeks | 7 | 5.00 |
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