But a few days ago my daughter Ellen introduced me to an iPad game called "Harbor Master".
It is absolutely compelling. I don't know how many games I have played so far (but it's a lot!)
Like many great games, it is easy to learn but hard to master.
And it makes great use of the touch screen interface.
Give it a try. You won't be sorry (except perhaps about the amount of time you're spending playing it!)
Here's a link and a screenshot:
