Stereographic projection of a cubical tiling of the sphere, with animated interpolation to the plane
Stereographic projection maps the sphere conformally onto the plane, sending circles to circles and preserving angles. This program illustrates the projection by placing a cubical tiling on the sphere and animating a one-parameter interpolation between the spherical tiling and its stereographic image on the plane. The result reveals how the regular structure of the cube on the sphere becomes a curvilinear pattern in the plane.
Controls: Click and drag to orbit, scroll to zoom.
