Phineus, who has done amzing stuff in this field, posted while I was composing offline, so please excuse the overlap.
>> Do multiple backdrops still have 16 faces forming a full circle?
Not necessarily. See next comment...
>> More generally, what are the geometric requirement for a bin to be accepted as a backdrop?
I have 12 sided and 8 sided ones. "<a href=http://mtm2.com/~trackville/pics/12sided.jpg>This</a>" is a twelve-sided one, "<a href=http://mtm2.com/~trackville/pics/8sided.jpg>this</a>" is an eight-sided one, with four vertical tiers (like four backdrops stacked) and uses14 large textures and "<a href=http://mtm2.com/~trackville/pics/8sidedx2.jpg>this</a>" one is eight-sided too, the bright green vegetation at the bottom is actually a second backdrop smaller than the first, physically inserted near the base of the tree portion (it's all a single bin). All of them look great, but the more sides the better I suppose. Zoon Kitchen and few other are just big cubes. There are no requirements other than a magic number.
>> What are the rules for displaying/blocking one rather than the other?
Edit: see Phin's note
>> (As far as I understand, the size of the backdrop is irrelevant since MTM2 will resize it anyway).
To some degree, yes.
I wrote this paragraph back in 2000: "As for the automatic stretching thing you mentioned, it seems that is based the on the largest dimension of the backdrop. In playing with an idea for the straight track expo I elongated a standard backdrop to about 2000 feet on one axis, it did look "long" in the game but the sides cut into the terrain in a bad way."
I can't really explain that text, but I will say it did offer a stretched out perspective on one axis. I can also remember setting a couple of animated bins as secondary backdrops, such as a single offset object orbiting the terrain, creating a huge fly-by effect based on the speed of the animation (aircraft, meteor, etc.), I also made a cage-like thing that simple rotated horizontally in from of the existing backdrop. I never tried experimenting after that - it would be neat to see someone try it all again.
>> More precisely, is it possible to force a specific backdrop to be displayed depending on the position?
If one backdrop is wider than another, they should both scale down in proprortion to one another.
>> What is the maximal number backdrops? 2?
I don't know
>> Can Traxx handle multi-backdrop tracks?
No.
To make a functional backdrop you can make a bin from scratch, when complete just select all faces and set their face type to mtm1 transparency and set the group magic number to "-2147483648", or just "save as backdrop" with the amazing new BinEdit:
http://binedit.com
edit: the "broken link" is to an ancient mtmbbs discussion, which i suspect my old text quoted above is from. No loss.