difficult flattening

[micheus]

The reference image is incomplete, since it doesn't includes the back and top views. Also the side view is a little compromised (cut). So, for approximation from the available views I built them.

If we consider the three visible pentagon having the exact same size and following the "rules" you set, it should look like this:

* This is in orthographic view

As we can see, it seems to be impossible to reach that shape in the reference without distort the pentagons.

Then, in order to keep those "anchor" vertices in that place and make those faces flat we are going to get the pentagon in the front view horizontally shrunken (red dots):


All faces flatten (coplanar vertices)
I focused in the front faces, so the back vertices were not changed after the start layout and as result the side and top view are not symmetric as in the reference.