Don't assume the supplied batteries are charged....
There was some initial stumbling, muttering, verbal abuse and incantations until I switched batteries. Twine would briefly light thence go dark. I had assumed it (she? - he?, I've not decided yet...) was operating properly but could not log in. Got confusing until changed out the supplied batteries with new ones (received mine today).
All is well, just doodling with it at this point.
Answers
Given that they desperately need to conserve battery power, my suggestion was the following:
* get the accelerometer/vibration thingy working;
* then, when Twine is rapped on a hard surface 3 times, flash the LED twice if it is connected to WiFi, once if it is not.
That will tell you two things that are presently not apparent; you are connected, and your batteries are good!
I'm beginning to wonder if my twine is working correctly, since I never see more than 45 seconds since its last report, and I haven't touched/moved it for days. It never goes into a long pause between reports, so I never wonder if it's still connected.
http://help.supermechanical.com/kb/getting-started/what-do-the-lights-blinking-patterns-mean
Thomas - see other posts; extenders, no matter the SSID they are broadcasting, are different networks.