I have a kind of thought experiment that I've been considering for a while. Some of my friends have suggested possible answers, but it would be interesting to see what everyone here thinks.
Imagine that humans have made contact with a distant alien civilization. For the sake of this post, imagine that the aliens communicate with us using some kind of faster-than-light technology that we don't understand at all (maybe we found the "trasmitter" buried underground or something). We are able to communicate with them fluently, thanks to translator technology contained within the unit.
We've told them all about our planet and civilization, but the only thing we haven't been able to get across to this species is the concept of "left" and "right" as directions relative to an observer's position and orientation.
Any suggestions for how this could be done?
We don't know where they are in our universe, and assume that they are too far away to detect by any means (no use of common reference points).
We can send only audio and strings of numerical data.