Recessed bookcase hinge

**Warning**: this hinge is provided as-is. It works for me and a 130cm×47cm×2mm PC sheet, but it is wobbly and does not work evenly. This has lots to do with the PC sheet wobbliness, the hinge size and the hinge material (ABS). Do customize its thickness and try it out yourself.

Now, warnings aside:

I have a recess in a wall (formerly a door) that now houses bookshelves. I wanted to add some door to keep dust away. I wanted the door and the hinges to stay behind the wall plane and I wanted the door to open at least 90° and not obscure the recess when open. And I wanted the hinge not to take space for the books.
Obviously, with so many restrictions I could find no match on the market, so I made my own.

The idea of this hinge is as follows:
- there's a part fixed to a shelf (screwed from the bottom) and so fixed to the wall, cyan and blue on the picture
- there's a part fixed to the door, red and maroon on the picture
- there's a part - a bar - connecting those two, d