In the United States every state has its own flag. My personal favourite is that of the state of Maryland, which is more distinctive than its 49 counterparts and has much earlier roots in England.
The design is from the coat of arms of George Calvert, the first Lord Baltimore, the black and gold sections belonging to the Calvert family and the red and white crosses belonging to his maternal Crossland family. My wife is, of course, a Calvert.
There is no coat of arms for the Koyzis family, as far as I know. But if there were, it would almost certainly include an olive tree or possibly a cruet of extra virgin olive oil.