How works "alternating ko ban" with double ko?
$$B
$$ +-------------------
$$ . . . O X O . O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X . |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$B
$$ +-------------------
$$ . . . O X O . O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X . |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
$$B
$$ +-------------------
$$ . . . O X T 1 O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X . |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$B
$$ +-------------------
$$ . . . O X T 1 O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X . |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
after

white needs a pass-for-ko to play at
$$B
$$ +-------------------
$$ . . . O X T 1 O . |
$$ . . . O X X O O O |
$$ . . . O X . X O T |
$$ . . . O X X X X 2 |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$B
$$ +-------------------
$$ . . . O X T 1 O . |
$$ . . . O X X O O O |
$$ . . . O X . X O T |
$$ . . . O X X X X 2 |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
after

white and black needs a pass-for-ko to retake the ko by

or
$$B black :b3: pass for ko at :w2:
$$ +-------------------
$$ . . . O X T X O . |
$$ . . . O X X O O O |
$$ . . . O X . X O . |
$$ . . . O X X X X O |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$B black :b3: pass for ko at :w2:
$$ +-------------------
$$ . . . O X T X O . |
$$ . . . O X X O O O |
$$ . . . O X . X O . |
$$ . . . O X X X X O |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
Now black is able to retake the ko but white not
$$W white :w4: pass for ko at :b1:
$$ +-------------------
$$ . . . O X . X O . |
$$ . . . O X X O O O |
$$ . . . O X . X O . |
$$ . . . O X X X X O |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$W white :w4: pass for ko at :b1:
$$ +-------------------
$$ . . . O X . X O . |
$$ . . . O X X O O O |
$$ . . . O X . X O . |
$$ . . . O X X X X O |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
Now black and white are able to retake their ko
$$B
$$ +-------------------
$$ . . . O X . X O . |
$$ . . . O X X O O O |
$$ . . . O X . X O 5 |
$$ . . . O X X X X T |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$B
$$ +-------------------
$$ . . . O X . X O . |
$$ . . . O X X O O O |
$$ . . . O X . X O 5 |
$$ . . . O X X X X T |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
after

white needs a pass-for-ko to play at
$$B
$$ +-------------------
$$ . . . O X 6 T O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X T |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$B
$$ +-------------------
$$ . . . O X 6 T O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X T |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
after

white and black needs a pass-for-ko to retake the ko by

or
$$B :b7: pass-for-ko :w8: pass-for-ko
$$ +-------------------
$$ . . . O X O . O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X . |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$B :b7: pass-for-ko :w8: pass-for-ko
$$ +-------------------
$$ . . . O X O . O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X . |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
this loop on 8 moves is very known.
But now is the difference. Because all ko have already used the pass-for-ko then now, the normal ko ban has to be used.
$$B :b11: pass
$$ +-------------------
$$ . . . O X O 9 O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X 0 |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$B :b11: pass
$$ +-------------------
$$ . . . O X O 9 O . |
$$ . . . O X X O O O |
$$ . . . O X . X O X |
$$ . . . O X X X X 0 |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
In this last diagram

and

are normal ko =>

is a normal pass allowing white to play

elsewhere (=> the loop has really been broken).
$$Bm11 :w12: elsewhere
$$ +-------------------
$$ . . . O X 4 X O . |
$$ . . . O X X O O O |
$$ . . . O X . X O 3 |
$$ . . . O X X X X O |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$Bm11 :w12: elsewhere
$$ +-------------------
$$ . . . O X 4 X O . |
$$ . . . O X X O O O |
$$ . . . O X . X O 3 |
$$ . . . O X X X X O |
$$ . . . O O O O X X |
$$ . . . . . . O O O |
$$ . . . . . . . . . |
$$ . . . . . . . . . |[/go]
After

then black

will be again a normal pass allowing white to play

elsewhere.
After all that we return to the very beginning with the use of pass-for-ko etc.