There was supposed to be a POINT in there as. Removal of hidden faces (except the ones carrying materials) is an important aspect of LI optimisation. Same with faces at the back which are either hidden in the back of the bookcase or are up against the wall. In tha case, don't forget to remove those end faces which can't be seen. If you have made the whole thing of boxes, I assume the ends of the shelves, for example, are inside the uprights. You can make it face the ground, or the back wall, so that it's not visible. These can be in one plane with the minimum number of triangles. Si you have to have a hidden triangle for each of the high LOD materials in the lower LOD meshes. The lower LODs will not be using the texures on the high LOD, because they are just pictures. So at the high LOD, you have to have the material for the lower LOD pictures on a triangle hidden inside one of the shelves. To do this, you have to hide the materials/textures you aren't using at any particular LOD on small hidden triangles. If you use that at low LOD, then you could use just the front plane at lowest LOD, with the same UV mapping at both. Leave out the faces on the ground and against the wall. It must be either very large or very compliocated to have 5LI (unless that's physics weight? Bookcases are not the best thing for the window technique, but you could use just a single cube as the lowest LOD (or even the low LOD), with a texture that puts a drawing of the bookcase on each face. Difficult to say without seeing the mesh.
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