I been asked by a student at my school when I gave my autism presentation to his fraterity what symbol I like better and I told him that I like the infinity symbol better than the puzzle ribbon. I believe that the puzzle ribbon is an insult and I hate doing jigsaw puzzles.
This is the "puzzle pin". It's the symbol of "autism awareness", in the same way that a pink ribbon stands for breast cancer awareness. That in itself is pretty neutral; but the symbol itself is used exclusively by people who want a cure for autism. The "puzzle pieces" are also quite offensive to autistics, because they imply that we are incomplete "puzzles" which have to be put together--that is, cured.
An alternative autism-awareness symbol is the rainbow infinity symbol, which you can see at the top of the page on these forums; the rainbow represents the autism spectrum and the infinity symbol is, I think, associated with thought and logic. (In any case, that's what I associate it with.)
To me, the cool thing about the infinity symbol is that, long before I knew anything about Asperger Syndrome, I created a rainbow infinity symbol of my own, with a "rainbow" pattern of red, purple, and blue fading into each other, to represent myself on a forum... it even had a single-twist in it, so that it was also a moebius strip.
I guess that means the rainbow-infinity theme really is an intuitive representation of the Autism spectrum to us, or at least both to me and to the person who invented it..
I can't think that an autistic person would ever use puzzles to represent themselves, unless they had a puzzle obsession... autistic people seem to have pretty good self concepts, even though our self-esteem might be low (wonder why?).
We could easily use a puzzle to represent the rest of the world, though!