Hyperbolic Games for Pc

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.

12. Liked Hyperbolic Games? here are 5 Education apps like Counting & Numbers. Learning Games For Toddlers; Sago Mini World: Kids Games; Curious - the game of learning; PBS KIDS Games; Educational Games for Kids 2-4;