¶ Sphere
Index Entry
In a compound curvature sphere of paper all the surface represents an intertriangulation of great circles, wherefore each great circle helps the other. Each is a compression circle enclosed within a tension circle. If we try to flatten the sphere, its equator cannot move outwardly to accomodate the down thrust as did the girth of the paper cylinder. Therefore, no one circle can lever its compressive interior against polar points, and, disunited, fail. In the sphere, the pressure at one point must invoke an infinity of great circles to crush an infinity of points simultaneously in a progressively rolling radius as the sphere is gradually pushed inside out-- but never flattened-- and only rolls the wave to the equator, which holds. Even in its inside-outness the sphere maintains its comprehensive interaction of system, seeking to re-establish its shape. Thus do balls tendm to bounce.
