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I use a brass wire-wheel like this one on my bench grinder to remove label paper from polygon faces after the polyhedron is glued together. Then I use mineral spirits to remove any leftover adhesive.
I print my polygons on permanent label paper because gluing regular paper onto wood causes it to stretch or warp a tiny amount ruining precision (experience talking here). Using paper that already has adhesive on it before printing eliminates that problem. Permanent adhesive labels hold much better than sticker paper, and can be removed later with a brass wire-wheel and then mineral spirits. These sheets are the good stuff.
My polygon cutting jig for table saw has a stiff 6061 aluminum plate to clamp the parts against. I use aluminum instead of steel in case of accidental contact with the blade. A steel plate would chip the carbide tips of the blade.
These toggle clamps are like the one I use for holding parts on my polygon cutting jig for my table saw.
This digital microscope is similar to the one I use for cutting polygons for polyhedra on my table saw.
This is the saw blade I use for cutting aluminum on my table saw. The edge of the aluminum clamping surface on my polygon cutting jig needs to be beveled to minimize the amount of hangover of the part being cut.
I recently bought this entry-level laser after watching many review videos of similar 10 watt machines. So I'm branching out into something new and learning about it. It's a great machine, and can be operated without a computer connected. It's only recently that the beam energy has reached a higher level with 2 diodes combined making it useful for cutting. You'll be surprised what they can do!
If you want to make the new style shells from patterns, but don't own a scroll saw, you can use a jewelers saw to rough cut the segments from the wedges. Then carve to the lines using a Dremel with the carbide wheels shown above. This saw includes a gross of jewelers blades, but can also use the same spiral blades as a scroll saw.