Looks like a POP-UP of some variety to me as well.
There should be some type of product identifyer somewhere on the frame. I’d use that information to go to the vendor website to download the graphic panel specs (width, height… as said in a previous post, they should be exact).
As for the graphics you put on them… Well, I suppose you could use banner or paper or somesuch but that really isn’t where you should be. What you will want (and I write in general terms) is a product combination that adds up to 20-25mil for the face panels and a similar product combination that might ad up to about 10-mil for the edges if used.
There are lots of ways that this can be done and everybody has their favourite method. For example, to get the 25 mil many people would print to a thin film (yes film), mount that film to a light blocking substrate and apply some type of a polycarbonate over laminate to the face. The over laminate is usually matte or semi. The polycarbonate is usually textured.
Another way to do this would be do directly image to a 10 mil film with a light blocker and laminate with a polycarb.
There are real issues when laminating this stuff so you have to carefully watch breaking and whatnot. The issue is to have a product that lies completely flat with no tunneling, etc.
Anyway, that’s kind of the standard you should expect in terms of product. You can go upward and use some amazing products but I wouldn’t do any less than I suggest.
I can’t tell you which film media to look at if you want to go into this as I wouldn’t dream of doing it solvent (I’d use an Encad for this … very wide colour gamut and straight media path).
Hope this helps.
Rob