Hyperbolic Games vs Pic2Mag

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.

The user draws the magnets and the Pic2Mag program draws the magnetic fields. The Field Calculator program now has a Magnetostatic mode, and an Electrostatic mode to plot either magnetic fields or electric fields. The program designed to help students learn Magnetic fields and Electric fields. You can draw magnets and look at the magnetic field, or you can draw electric charges and look at the electric voltage field. The best free magnetic science program you can download! No advertisements, it's just all app. The app can process most images in just a few minutes. The app caches it's results so the more that you use it, the faster the program processes images. Red pixels represent magnets with a North pole surface facing the observer, and Blue pixels represent magnets with a South pole surface facing the observer. Pink pixels represent positive electric charges, and Dark Purple pixels represent negative electric charges