Three-fold repetition

what is 3-fold repetition? for this game was drawn !! i knew move repetition 3 times but it's not like that, my rook did check to black king repeating same place 3 times but his king or rook did not repeat same place 3 times. So how this 3-fold repetion rule goes? 

If the same board position is repeated three times (need not be consecutive), the player may claim a draw.

will it be for both players or one player can initiate drw if the other player repeated move three times?

u can claim draw... or u can play for time win..

If both players come to any square three times throughout the game then it should not be draw because for the sake of moves and strategy players can accidently move same piece in same square three times throughout the game, it's normal. I am still confused that kind of rule !! or i am wrong??

I answered you four months ago. The complete board position needs to be repeated three times.

If you 'accidently' have the same position thrice in one game - your bad. Still a draw.

If all the pieces on the board wind up in exactly the same places 3 times during a game with the same player to move, then that player can claim a draw.

And all pertinent optional moves are the same: same rights to castle and if the first position had an en-passant position then the 3rd repetition doesn't count since en-passant is no longer possible.

Exactly.

Where or how do you claim draw game as a result of three-fold repeation moves?

https://support.chess.com/customer/portal/articles/1444798-how-do-i-claim-a-draw-

Thanks.

Not clear i need examples. in this my game - 

it was 3-fold repetition draw. starting from move 27, in the same board position no pieces came to same square 3 times like i played Rf4 and Rf1 two times and he played Qe1 and Qh4 two times. how it's draw? 

The following position, starting after 26... Bxb2, is the one that starts the triple-repetition.

The same position occurs after move 28... Qh4 (so again,  it's now white's move) and after move 30... Qh4 (and again, it's  white's move).

So, the position repeted three times and the draw was claimed. It is triple-repetition of position. The moves and/or number of moves to get to the position don't really matter.

So it's another version of 3-fold repetition called "triple-repetition of position" ? i knew two versions - 1.perpetual check 2. both players comes to same square 3 times in same board position(not required in consecutive moves). 

Weird. It should be not draw. If white makes another move Rf4 then black can claim draw.

Both perpetual check and the second version are the same. Perpetual check can only be claimed draw once both players repeat position three times. Martin is saying that the game is a draw under your second version.

AIM-AceMove, it is a draw. Look at positions after Black's move 26, 28, and 30. They are the same. That said in OTB play proper procedure is to claim a draw as black before 30...Qh4 is moved on the board.

Perpetual check isn't actually a rule. In essence, it is a draw but really what is happening in such a situation is that you either are going to repeat the position three times (triple-repetition of position) or you are going to get a 50-move draw (no captures or pawn move in the past 50 moves).

Bishop on b2 is not part of the repeating moves. The pieces that is repeating is Rook and Queen. It is logical.  Rook on F4 by white is played only 2 times. If 31. Rf4 then it should be draw. But i do not write rules nor i can change them.