So, you've got this cool new Edison, but what to do with it? Well, it DOES talk to the internet fairly well, so let's make it talk to the internet!
Interestingly enough, the ethernet libraries for Arduino work just as well on the Edison, so why not use them?
I am piggybacking off of a very good tutorial found here: http://arduino-tweet.appspot.com/
As a result of my piggybacking, I am using (and trusting) NeoCat's app that gets the twitter token you will need to tweet with your Edison. While I am a rather trusting person (perhaps destructively so), you may want to dig around to get your token from https://dev.twitter.com/ . Unfortunately, at the time of writing this, the developer site is by invite only....so NeoCat's option was definitely the best.
So, to get started, visit NeoCat's website, follow his/her tutorial to get the twitter library and your twitter token: http://arduino-tweet.appspot.com/
As NeoCat mentioned on their site, please don't abuse the service. Keep your tweets sparse. If you need something that tweets every 6 seconds, you should set up your own server and twitter app.
I am also counting on the fact (it IS a fact, right?) that you have already gone through the Getting Started tutorials Intel has so kindly made for us. You can find them here: https://communities.intel.com/docs/DOC-23147
And, of course, FOLLOW ME ON TWITTER! @foxrobotics