Oh, did I feel proud after solving the last safe... until I was immediately dimension-doored (or something) into this room! Damn the aliens, they still want to play around with me... Well, seems there is nothing else to do but to get that thing open and hope for the best...
The room is pretty empty except for a few notable objects:
There is of course the safe, which has two circular dials with three rotate-able sections each. Odd symbols are painted on them and there is a dimly lit display in between the dials which does not seem to do anything.
Next to the safe are two glass tables. One has 8 round inserts with strange metal connection dots in indentations, the other has 7 loose pieces lying on it. The pieces have some blue coating on the top-side but are golden on the bottom with some half-dome indentations.
(Detail image - Pieces (upside))
(Detail image - Pieces (downside))
(Detail image - Insert 1 )
(Detail image - Insert 2 )
(Detail image - Insert 3 )
(Detail image - Insert 4 )
(Detail image - Insert 5 )
(Detail image - Insert 6 )
(Detail image - Insert 7 )
(Detail image - Insert 8 )
On the wall is a shiny picture with some kind of star-map on it. I don't recognize any of the stars. The picture is some alien sort of interface maybe, because I can touch the stars and they briefly light up. Cool. There is also a little grid, but it doesn't seem to do anything.
You can also inspect these objects in 3D here.
The puzzle is 'solved' by finding the correct dial-rotation combination on the safe (and giving the correct reason why). All required information is in the images (which could be printed) - download of detail images advised.