Wide-angle view

You might notice that the perspective view of the sphere seems a little odd, particularly if you rotate the sphere while you’re inside it (at projection distance d = 0 or d = 1). This is because the Hyperbolic Games give you a wide-angle view. The advantage of the wide-angle view is that you see more of the surface. The disadvantage is that to see a perspectively correct image, you need to shut one eye and position your other eye very close to the display. Specifically, the Hyperbolic Games show a 90° field of view (±45° from center). So for example if your display is 36cm wide, and you position your eye 18cm in front of the display’s center point, then you’ll see a perspectively perfect image: when you drag with the mouse to scroll the image, the sphere’s rotation will look natural and correct. This same 90° field-of-view rule applies no matter whether the Hyperbolic Games’ projection distance is set to 0 radians from the center or 1 radian or any other value.

Still have a question? Submit it to the Geometry Games Contact Page for a more-or-less prompt reply.

The latest Hyperbolic Games are freely available at www.geometrygames.org/HyperbolicGames. The Hyperbolic Games may be freely distributed under the terms of the GNU General Public License.

© 2018 by Jeff Weeks