Inspired by the designs of Antonin_Nosek here on Thingiverse, my farther came up with this design which uses the same type of shape like a good old soccer ball. Like you can see on the pictures, it also causes some really cool shadows.
It's quite hard to get this to print properly, but you do not need support. Similar to the lattice cube (just search on Thingiverse if you do not know this) you will need to find the right settings for your 3D printer in order for this to work out. Brim might be helpful to get this to stick because it only has a small contact pattern at the bottom.
Good luck and have fun ;-)