Start with a 1″×1″×11″ piece of wood.
From this piece of wood, we will cut out 8 little 1" cubes (see pic 1) which have slots for the hinges and holes for the dowels.
Label each long-side of this piece as “TOP”, “BOTTOM”, “FRONT”, “BACK” as shown in the picture.
OPTIONAL: I found it difficult to adequately tape or even directly clamp the wood, so I built a jig to hold it in place (see pics).
Take 8 hinges and sand them so that they fit inside the slots on a cube. They should be loose, but no room for wobble.
Keep the cubes arranged as in the picture.
Use a 1/8" dowel, assemble the cube by pushing it through holes in the cubes and the hinges, cutting it off and sanding it flush on each side.
Combine the cubes at their hindes in the following order: