RB_CH01_Q047. Quarter table covering game

We are to play a game in the next room. We each have an infinite bag of identical quarters (i.e., American 25-cent pieces). We will take it in turns to put one quarter on the table. Quarters may not overlap on the table. When there is no room left on the table to put another quarter, the winner is the last person to put a quarter on the table. Let me tell you that there does exist a strategy for winning and that this strategy is independent of the size of the table. 1) What is the shape of the table? 2) Do you start? 3) What is your strategy for winning? 4) In any case where this need does not work?