I wanna be able to play tiny Death Star on my ipad and my iphone, not at the same time but depending on when I'm at home or not...
I don't see an obvious way to do this, although since it's a Game Center game, it seems like it should support it?
The new Facebook integration is supposed to make this possible.
Signing into Facebook in the app and then signing in on your other device should make the games sync.
I haven't personally installed the app on my phone (in addition to my iPad) to see if it works.
Edit: Apparently, in the iOS version, this is not currently functional but is a known bug. Hopefully they will update to fix it soon.
No, this isnt possible as it doesnt save via any sort of cloud.
Read below in comments, facebook integration is pending, but is not working. This is a known bug, posted on the developers website.