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It looks thin enough to be polystyrene or a close relative, when gluing with poly cement (it can be had in very usable dispenser types, better than tubes) ignore the bits squeezed out of the joints for at least a week, then rub down and polish. You can hand assemble the bits one by one, leaving a few minutes twixt operations, the glue remains slightly flexible for a while allowing one to do the whole job bit by bit and leaving a twiddle factor for final alignment. Practice on a broken CD case or the like. The "solvent only" glues are not very good for this job.