Parametric Polygonal Lidded Box With Logo

This is an improvement on this other Thing:
http://www.thingiverse.com/thing:1035059

The box can be made of any size, and its section can be any regular polygon (triangle, square, pentagon, hexagon, and so on...). You can choose wall thickness and the clearance between the box and the lid, as well as width and height of both box and lid. You can also choose to just print the box, or the lid, or both.

In addition to this, you can now also cut your logo on the lid of the box, which can be u