I just found and watched your SciPy talk. The 3d-printed geology puzzle is really cool!
Yeah, the British print is basically the bottomless box you show at 15:16, but with much thinner walls - I don't have it anymore but I'd say theirs are about .3 millimeter thick. I suppose that's also why you paid three times more.
Since they don't have a bottom lid, they apply their bottom texture underneath the top.
How difficult do you think it would be to clip the print along a border, e.g. the border of Alaska?