The Unit Sphere

I think, that when we say "unit sphere", we refer to the object pictured below.

...yes? By solving the problems related to representing the sphere, I am in a position to demonstrate how it is done. ________ [b]Unit Sphere[/b] [list] [*]Setup: [url]http://www.geogebratube.org/material/show/id/101282[/url] [*]Trihedron: [url]http://www.geogebratube.org/material/show/id/107064[/url] [*][b] → Base Object[/b] [*] Spherical Coordinates {link} [*] Meridian, (Horizon Points) [*] Latitude, (Horizon Points) [/list]