Chinese balls are usually very well carved and many of them can be regarded as
masterpieces of art. They used to be part of the entertainment for emperors,
and this is why they came together with some stands, also carved in a magnificent way.
Regarding the layers, the more the layers, the more precious (and expensive) the puzzle is.
I have a tiny 11-layer ball made of ivory, and I am sure that if I ever take it out of Australia,
I would never be allowed to bring it back!!!
And I do agree with what you say, the way it is done, makes it look like an impossible object.
Beautiful, elegant, classy, exotic, mysterious, artistic, you name it!

Pantazis