Sorcerous Solitaire

You're in trouble. You see, there's this sorcerer, who suspects you of diddling his daughter. Whether you are or are not guilty of this non-crime is somewhat irrelevant, as the sorcerer doesn't think he has to establish your guilt beyond reasonable doubt before handing out the punishment. And he's a sorcerer, so it's not as if anyone is going to tell him he can't do that.

So he went right ahead and cursed you. The curse compels you to play a game of Peg Solitaire, on a snowflake shaped board, until you win it.

For those unfamiliar with the game, the rules are: At the start of the game there are pegs in all holes on the board except the middle hole. In order to move a peg on the board, you must move it from its hole, over another peg, and into the hole on the the other side of the peg that was jumped over. If there are no adjacent pegs, or no empty space on the other side of the adjacent peg, you can not move the peg. The peg that was jumped over is removed from the board.
The goal of the game is to be left with only a single peg (usually in the middle hole, but the sorcerer has relaxed this requirement for the purpose of breaking this curse).

That can't take too long, right?