Rather than gluing the negative space model,
Why not just print a clear acrylic box with the Glowforge to the exact dimensions of the slices and stack them inside it?
This is quite fascinating…I too am going to read the blog post.
*edit
Well shoot…after reading how you did this and the background with all the museum stuff, I am totally impressed and admire these even more! Outstanding work!
With regards t being damaged by the fumes I ended up buying this that did not hook up easily to the Glowforge but does a good job cleaning dust and fumes out of a room. At 500 cfm and especially vented elsewhere, it would seem a good solution to the fume problem.