Hitting the New Game button doesn’t seem to work for me, on both this version and the Web-Browser version.
One of my friends just confirmed that he also has problem playing the game on iPhone (it doesn't seem to recognize the input), so I think it's safe to say that the iOS is not supported after all. It's sad news for me too, because I was really hoping that this version will allow everyone to enjoy the game regardless of the platform, but unfortunatelly, it is what it is.
Thank you for your time, and I'm truly sorry for the inconvenience.