For this ball stand there are .stl-files included for 3, 4, 5 and 9 legs if you just want to print. I personally like the 4-leg version.

For everybody who wants to modify some settings first there are some easy changeable options (OpenSCAD):

• number of legs (start with 3 - if you want it to be able to stand)
• height (of course you can also modify this in you slicer)
• diameter of the bottom and top balls
• offset (if you want to make a version that is not standing on a desk but maybe on a shelf above eye level also negative values are possible.)

Since the Costomizer-app on thingiverse seems to work better with a smaller range of values download the .scad-file and modify locally if you want to experiment with other values.

Beside a ball stand it might be usable as eggcup (maybe not so much for eating them but for painting them next easter), as a stand to airbrush/spray paint objects without having to touch them, as stand for a wet brush or pen (only with an even number of legs), as whatever it might be useful for you.