Thank you, echizento! There is no images or characters remained on the both sides of the item. It was beaten, surely, by stone, so from one side the piece of the soft brass was dented and cut off, and the other side of it just broke off from the rest of the coin.
However, I hope, may be some one has seen coins edged in this very style (the coins of Antiochus VI are made with the same idea but on the same way) -
And, may be some one saw such a coin as unbroken. Аnd not damaged. And could remember this extraordinary edgr.