The construction is based on the instructions for the Two-Piece Box or Candy Box on page 226 of Making Handmade Books: 100+ Bindings, Structures & Forms, using the measurements below. My carpet sample was 3" square (75 mm).
Materials: There are only 10 pieces. Start with (2) 4" square (100 mm) boards for top and bottom. (4) Top walls are 1 1/2" deep (37 mm) x 4" (100 mm). (4) Bottom walls are 3 1/4" deep (80 mm) and start with them 4" wide and trim the boards as per instructions in the book.
Normally, you can make a recess or inset in the lid by peeling out layers of the board (p. 217), but the carpet square was too deep. I had to build one.
Once the lid is built, you will measure covering material so the raised boards and slightly down into the recess will be covered. (Starting with step 9, page 227). Your carpet square or whatever you like will hide the edges of the covering material this way.
Instead of another covered board for the bottom, I glued a square of book cloth to cover the exposed edges.
So there it is. In this case, the covering material is Velin Arches paper (formerly Arches Text Wove) painted with FW acrylic inks. Techniques for painting paper are in Painted Paper: Techniques & Projects for Handmade Books & Cards.
I suppose it could use a miniature armchair, but I think I like it unfurnished.