What is (theoretically) the most efficient shape for an aircraft, assuming you don't have to carry any cargo? Assuming that you don't need to have any large piece on the underside dedicated to storage area/people (as all planes do) and you don't care about stability, what is the most energy efficient form for an aircraft in terms of energy required to maintain altitude? I would guess that it is the flying wing.

What it should do:


Use computer control if needed to reduce power requirements


All other requirements take second place; efficiency is the dominant goal.
The best shape for an airplane or glider would look like the ASH-30mi, an open class glider with an 86.9ft wingspan, and a 41:1 aspect ratio (wing length to wing chord). It has a glide ratio exceeding 60:1, and is considered the state of the art for gliders.