It seems fairly obvious to me that notions of left-right are woefully inadequate and that the libertarian-based questionairres online are more appropriate.
They conceive of the scale as forming an x and y axis with one axis representing "social issues" and one axis representing "economic issues". The ranges move from no control to excessive control.
When plotting this you find that communists and fascists are not "opposites" but rather diverse forms of the same general entity, "statists". This seems much more accurate to me, but I am curious if any research has been done at the academic level considering metrics such as these.
Thanks for any help you can provide!