To create a 3D globe in Illustrator you need to first draw a sphere. You start by drawing a circle and cut that circle into a half circle. Then add the 3D revolve effect and you have a perfect sphere.

[DaveMakesStuff] demonstrates a great technique for 3D printing a sphere; a troublesome shape for filament-based printers to handle. As a bonus, it uses a minimum of filament. His ideas can be ...