In good old days, Scientific American was host to some legendary mathematical (and computer science) oriented columns that inspired generations of scientists and engineers. Douglas Hofstadter, Martin Gardner, A. K. Dewdney... just to name a few.
Where are the contemporary (XXI century) equivalent of these masterpieces? Which magazines can I point out to a layman and get him learning group theory? Hacking on Core Wars? Figuring out some Quine in LISP?
P.S. There are a lot of good websites for dissemination and self-study, but I feel there is some difference between those old SA columns, and what I find nowadays. For the lack of better words, allow me to make an analogy between an iPad and a Raspberry Pi; while the former appeals to the masses, the later gives you the opportunity to tinker. It's the difference between an ephemeral (if somewhat polished) entertainment (or good read), and the life-lasting recreational experience of hacking.
Heck, I've learned more on AI from 1990 Dewdney's "The Magic Machine", then most MOOCs out there.