After further inspection I can only say this puzzle is really, really, really cool.
The puzzle itself has 6 sections with 2 sides each and 3 balls per side - for a total of 36 balls. The sections are joined in a clever way that permits to form complete cycles of 18 balls using different sides of each section. I wonder how Jaap is finally going to describe the moves when he posts the solution. I have not come up with an obvious description yet.
By the way, for the winners, the eBay auction price of $22.50 is cheap compared to the $51 price at http://astrolabacus.com
Did I mention that this puzzle is cool?