Yes, though this loop may be build in theory, I said myself this loop is quite stupid and I am confident that in your "two-eyed alive" world such loop will never take place.
By the way the sequence itself may be not stupid and might be good in normal play but only as a sequence played only one time (I mean not forever in a real loop).

When you say "the last move of an uninterrupted cycle is forbidden" does that mean that it is superko rule? You have first to identify that a loop occurs and then you forbid one move in the cycle. It is exactly the job of a superko rule isn't it?

About compositions of three ko-shapes (contd)


##### ASYMMETRICAL triple-ko cycles #2 #####

Click Here To Show Diagram Code

[go]$$B
$$ ? ? ? ? ? ? ? ? ? ? ? ?
$$ ? ? ? ? ? ? ? ? ? ? ? ?
$$ ? ? X X X X X X X S ? ?
$$ ? ? X O X O X c X X ? ?
$$ ? ? O a O b O X O C ? ?
$$ ? ? O O O O O O O ? ? ?
$$ ? ? ? ? ? ? ? ? ? ? ? ?
$$ ? ? ? ? ? ? ? ? ? ? ? ?[/go]

Let's add ONE EYE to ONLE ONE of the GENUINE triple-ko's groups, as well as a SHARED liberty.

Click Here To Show Diagram Code

[go]$$B
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . ? ? ? ? S . . . . . . . |
$$ | . . . . . . . ? O W . ? . . . . . . . |
$$ | . . . , . . . ? . . X C . . . , . . . |
$$ | . ? ? ? ? S . ? ? ? ? ? . ? ? ? ? S . |
$$ | . ? O . . ? . . . . . . . ? . O . ? . |
$$ | . ? . X B C . . . . . . . ? B . X C . |
$$ | . ? ? ? ? ? . . . . . . . ? ? ? ? ? . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . : . . . . . , . . . |
$$ | . ? ? ? ? S . . . . . . . ? ? ? ? S . |
$$ | . ? W . O ? . . . . . . . ? . O W ? . |
$$ | . ? . X . C . . . . . . . ? X . . C . |
$$ | . ? ? ? ? ? . . . . . . . ? ? ? ? ? . |
$$ | . . . . . . . ? ? ? ? S . . . . . . . |
$$ | . . . , . . . ? . . O ? . . . , . . . |
$$ | . . . . . . . ? X B . C . . . . . . . |
$$ | . . . . . . . ? ? ? ? ? . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+
$$ {AR M17 Q15}
$$ {AR Q12 Q9}
$$ {AR D9 D12}
$$ {AR D15 H17}
$$ {AR Q6 M3}
$$ {AR J2 J1}
$$ {AR K2 K1}
$$ {AR L2 L1}
$$ {AR H3 D6}[/go]

This diagram shows a triple-ko cycle that is similar to the GENUINE one.
The marked stones are those that have been played last.

However, both sides are free to leave the cycle shown (symbolised by the "triple-arrow" at the bottom of the diagram).
This exit can be taken at every position of the cycle. We chose the bottom one for an exemplary case of a status assessment for a Black group first.

--------------------------------------------

Click Here To Show Diagram Code

[go]$$B Status assessment for BLACK groups
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . Y . . . . . Q . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . ? ? ? ? S . . . . . . . ? ? ? ? S . |
$$ | . ? W . . ? . . . . . . . ? . . O ? . |
$$ | . ? . X X C . . . . . . . ? X X . B . |
$$ | . ? ? ? ? ? . . . . . . . ? ? ? ? ? . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . Y . . . . . , . . . |
$$ | . ? ? ? ? S . . . . . . . ? ? ? ? S . |
$$ | . ? . . . ? . . . . . . . ? . . O ? . |
$$ | . ? X X B C . . . . . . . ? X X . ? . |
$$ | . ? ? ? ? ? . . . . . . . ? ? ? ? ? . |
$$ | . . . . . . . . . . . . . a s y m m . |
$$ | . . . , . . . M M M M M . . o n e . . |
$$ | . . . . . . . M e n d M . . . . . . . |
$$ | . . . . . . . M M M M M . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+
$$ {AR K16 F8}
$$ {AR D9 D12}
$$ {AR D15 D16}
$$ {AR J19 J18}
$$ {AR K19 K18}
$$ {AR P12 P9}
$$ {AR Q12 Q9}
$$ {AR R12 R9}
$$ {AR F14 O13}
$$ {AR L19 L18}
$$ {AR C18 C19}
$$ {AR D18 D19}
$$ {AR E18 E19}
$$ {AR K16 O14}
$$ {AR K16 K11}
$$ {AR K9 K4}[/go]

White plays outside the cycle. Black has three options now.

LEFT:
captures into the remaining ko.
has to capture into one of the other ko-shapes, as Black's move was an atari.

-- option 1: is played outside the triple-ko, as there is no ko-shape remaining Black could capture in.
This returns into the OPTIONAL cycle.
Both sides exchanged one move each outside the triple-ko, what they could have done anyway.
-- option 2: occupies the SHARED liberty, creating the MIRRORED version of RIGHT.
This option is the ADVISABLE one.

RIGHT:
occupies the SHARED liberty.
This exits to ASYMMETRICAL triple-ko cycles #1.
This option is the ADVISABLE one.

MIDDLE:
is played outside the triple-ko.
This is a clear sign that Black does not want to continue the triple-ko cycle.
Both sides exchanged one move each outside the triple-ko, what they could have done anyway.

--------------------------------------------

Click Here To Show Diagram Code

[go]$$Bc Status assessment for WHITE groups
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . ? ? ? ? S . . . . . . . |
$$ | . . . . . . . ? O W . ? . . . . . . . |
$$ | . . . . . . . ? . . X C . . . . . . . |
$$ | . ? ? ? ? S . ? ? ? ? ? . ? ? ? ? S . |
$$ | . ? O . . ? . ? ? ? ? S . ? . O . ? . |
$$ | . ? . X B C . ? O O . ? . ? B . X C . |
$$ | . ? ? ? ? ? . ? . . X B . ? ? ? ? ? . |
$$ | . . . . . . . ? ? ? ? ? . . . . . . . |
$$ | . . . , . . . ? ? ? ? S . . . , . . . |
$$ | . ? ? ? ? S . ? O O . ? . ? ? ? ? S . |
$$ | . ? W . O ? . ? . . X ? . ? . O W ? . |
$$ | . ? . X . C . ? ? ? ? ? . ? X . . C . |
$$ | . ? ? ? ? ? . . . . . . . ? ? ? ? ? . |
$$ | . . . . . . . ? ? ? ? S . . . . . . . |
$$ | . . . , . . . ? . . O ? . . . , . . . |
$$ | . . . . . . . ? X B . ? . . . . . . . |
$$ | . . . . . . . ? ? ? ? ? . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+
$$ {AR M17 Q15}
$$ {AR Q12 Q9}
$$ {AR Q6 M3}
$$ {AR H3 D6}
$$ {AR D9 D12}
$$ {AR D15 H17}
$$ {AR J15 J14}
$$ {AR K15 K14}
$$ {AR L15 L14}
$$ {AR K11 K10}
$$ {AR J11 J10}
$$ {AR L11 L10}[/go]

-- option 1: occupies the SHARED liberty.
This exits to ASYMMETRICAL triple-ko cycles #1.
This option is the ADVISABLE one.
-- option 2: (not displayed in the diagram for the sake of clarity) is played outside the triple-ko cycle.
White will capture into the remaining ko-shape, effectively returning to the main diagram of ASYMMETRICAL triple-ko cycles #2, as is shown with LEFT for the status assessement for WHITE groups (with colours interchanged).

--------------------------------------------

The presentation of the entire ASYMMETRICAL triple-ko cycle #2 might look like the following diagram.

Click Here To Show Diagram Code

[go]$$W
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . ? ? ? ? S . . . . . . . |
$$ | . . . . . . . ? O W . ? . . . . . . . |
$$ | M M M M . . . ? . . X ? . . . M M M M |
$$ | M ? ? ? ? S M ? ? ? ? ? M ? ? ? ? S M |
$$ | M ? O . . ? M . . . . . M ? . O . ? M |
$$ | M ? . X B ? 1 . . . . . 1 ? B . X ? M |
$$ | M ? ? ? ? ? . . ? ? ? . . ? ? ? ? ? M |
$$ | M M M . M M . . ? ? ? . . M M . M M M |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . ? ? ? ? S . . . . . . . ? ? ? ? S . |
$$ | . ? W . O ? . . . . . . . ? . O W ? . |
$$ | . ? . X . ? . . . . . . . ? X . . ? . |
$$ | . ? ? ? ? ? . M . 1 . M . ? ? ? ? ? . |
$$ | . . . . . . M ? ? ? ? S M . . . . . . |
$$ | . . . , . . . ? . . O ? . . . . . . . |
$$ | . ? ? ? . . M ? X B . ? M . . ? ? ? . |
$$ | . ? ? ? . . M ? ? ? ? ? M . . ? ? ? . |
$$ | . . . . . . . M M M M M . . . . . . . |
$$ +---------------------------------------+
$$ {AR M17 Q15}
$$ {AR Q12 Q9}
$$ {AR Q6 M3}
$$ {AR H3 D6}
$$ {AR D9 D12}
$$ {AR D15 H17}
$$ {AR J15 K12}
$$ {AR D6 C3}
$$ {AR C3 C6}
$$ {AR R6 R3}
$$ {AR R3 Q6}
$$ {AR K12 L15}
$$ {AR F13 J11}
$$ {AR J11 F12}
$$ {AR O13 L11}
$$ {AR L11 O12}
$$ {AR J5 K11}
$$ {AR K11 L5}[/go]

You will easily have realised that White can leave the cycle ONLY ONCE, while Black can do so whenever and as often as he likes.

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

You are free to name is as you like to do, especially if this aids your understanding.

A cycle is a cycle, regardless of whether a ko-shape is involved or a "pass" is played in it.

It's completely the same with your "GT territory rules".
You would have to play the cycle through (at least once) to realise that there had been a ko-capture before a "pass", won't you?
Additionally, you would have to realise (depends on the position in question), whether passing instead of continuing with the cycle forever (might be simpler at first sight) was a valid option for any of the players.

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

Honte's magic DOUBLE-KO spell


To introduce this topic, let's use a reminiscence of "Who Wants to Be a Billionaire?"

---------------------------------

Question: What is a DOUBLE-KO during play?

Answer option A: A tool that aims to triple the remaining length of the game.
Answer option B: A tool that aims to significantly complicate the subsequent status confirmation.
Answer option C: A tool to prevent to opponent from closing another ko-shape on the board.
Answer option D: Simply nonsense.

---------------------------------

Question: What is a DOUBLE-KO during status confirmation?

Answer option A: A tool to prevent to opponent from closing another ko-shape on the board.
Answer option B: Simply useless.
Answer option C: A position on the board that significantly complicates the matter.
Answer option D: A tool that aims to triple the remaining length of the status complication.

---------------------------------

What do you choose?
(All of your jokers have already been used up.)

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

During play:
Option A is true Depending of the way time is handled it could be a way to gain time
Option B does not exist because it is already the option C listed under status confirmation phase
Option C is also true. Depending of the circumtances this double may also allow to reach a NO RESULT game
Option D is true if a player plays in the double ko though the opponent did not take a ko elsewhere.

Additionnal option: a tool allowing to request on infinite number of resumptions with each time a real play on the board!

For status confirmation it is highly dependant of this status confirmation : pass-ko used, independancy of the areas via local-2 or other means ...

Nice contribution to fill your time to think about it.

The quiz master will then remind you of the rules:
-- Press the right button, and receive Yen 10,000,000.
-- Press the right button again, and receive Yen 20,000,000 instead.

Which buttons will you press?

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

I give up Thomas because I am not able to choose between several options which seem true
OK, you have won, what is the good answer?

This seems to be standard with "Who Wants to Be a Billionaire", doesn't it?

The quiz master will not tell you the correct answer until you have pressed a button.
And he'll warn you: If you don't want to push a button, you'll fall back to Yen 10,000.


It's like solving Tsume-Go, or as with "HIGHLANDER": There can be only one!

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

Quiz master: "Oh, what a pity! You fell back to Yen 10,000. Nevertheless, the time with you was very entertaining. Many thanks! Good bye."

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

Honte's magic DOUBLE-KO spell (contd)


##### What is a DOUBLE-Ko during "play"? #####


A) A tool for prolonging the game?

Click Here To Show Diagram Code

[go]$$B
$$ +---------------------------+
$$ | . X O . O X . . . X . . . |
$$ | X X X O O X . . . X . . . |
$$ | . X O O X X X X X X X X . |
$$ | X O . O X . X O O O O O . |
$$ | O O O O X . X O . O . O . |
$$ | X X X X X X X O O O O O O |
$$ | . . . , . . , . . , . . . |
$$ | . . . . . . . . . . . . . |[/go]

Click Here To Show Diagram Code

[go]$$W
$$ +---------------------------+
$$ | . X O 2 O X . . . X . . . |
$$ | X X X O O X . . . X . . . |
$$ | 3 X O O X X X X X X X X 1 |
$$ | X O . O X . X O O O O O . |
$$ | O O O O X . X O . O . O . |
$$ | X X X X X X X O O O O O O |
$$ | . . . , . . , . . , . . . |
$$ | . . . . . . . . . . . . . |[/go]

Click Here To Show Diagram Code

[go]$$W
$$ +---------------------------+
$$ | . X 5 X O X . . . X . . . |
$$ | X X X O O X . . . X . . 4 |
$$ | O X O O X X X X X X X X O |
$$ | 6 O . O X . X O O O O O . |
$$ | O O O O X . X O . O . O . |
$$ | X X X X X X X O O O O O O |
$$ | . . . , . . , . . , . . . |
$$ | . . . . . . . . . . . . . |[/go]

Click Here To Show Diagram Code

[go]$$Wm7
$$ +---------------------------+
$$ | . X O 2 O X . . . X . . . |
$$ | X X X O O X . . . X . . X |
$$ | 3 X O O X X X X X X X X O |
$$ | X O . O X . X O O O O O 1 |
$$ | O O O O X . X O . O . O . |
$$ | X X X X X X X O O O O O O |
$$ | . . . , . . , . . , . . . |
$$ | . . . . . . . . . . . . . |[/go]

Click Here To Show Diagram Code

[go]$$Wm7
$$ +---------------------------+
$$ | . X 5 X O X . . . X . . . |
$$ | X X X O O X . . . X . 4 X |
$$ | O X O O X X X X X X X X O |
$$ | 6 O . O X . X O O O O O . |
$$ | O O O O X . X O . O . O . |
$$ | X X X X X X X O O O O O O |
$$ | . . . , . . , . . , . . . |
$$ | . . . . . . . . . . . . . |[/go]

TWELVE moves.

Click Here To Show Diagram Code

[go]$$W
$$ +---------------------------+
$$ | . X O . O X . . . X . . . |
$$ | X X X O O X . . . X . 4 2 |
$$ | . X O O X X X X X X X X 1 |
$$ | X O . O X . X O O O O O 3 |
$$ | O O O O X . X O . O . O . |
$$ | X X X X X X X O O O O O O |
$$ | . . . , . . , . . , . . . |
$$ | . . . . . . . . . . . . . |[/go]

FOUR moves.

Seems so, but does it make any sense?

A) is wrong.



B) A tool for complicating status confirmation?

That may be the general assessment. However, it is not true, as we will see later.

B) is wrong.



C) A tool for preventing the opponent from playing two moves in a row?

Click Here To Show Diagram Code

[go]$$W
$$ +---------------------------+
$$ | . X O . O X . . . X . . . |
$$ | X X X O O X . . . X . 4 2 |
$$ | . X O O X X X X X X X X 1 |
$$ | X O . O X . X O O O O O 3 |
$$ | O O O O X . X O . O . O . |
$$ | X X X X X X X O O O O O O |
$$ | . . . , . . , . . , . . . |
$$ | . . . . . . . . . . . . . |[/go]

Capturing into the DOUBLE-KO only makes sense if any of , , cannot be IMMEDIATELY answered with , , respectively, which would result in the opponent being able to play TWO MOVES IN A ROW.
The only formation that is eligible for this is a KO-SHAPE.

C) is correct.


D) Simply nonsense?

Please refer to the comment on C).

D) is wrong.


+++++++++++++++++++++++++


##### What is a DOUBLE-Ko during status confirmation? #####


A) A tool for preventing the opponent from playing two moves in a row?

As a matter of course (see C) for "play"), but does it make any sense during STATUS CONFIRMATION?

With a composition of (at least) THREE KO-SHAPES, there is the additional danger that the status confirmation will last forever, in the case the players do not realise that they are cought in a CYCLE.
Or their discussions might become unnecessarily complicated and / or their results / decisions doubtful.

A) is wrong.



B) Simply useless?

It is unbelievable, but it seems that no one discovered "Honte's magic DOUBLE-KO spell" before. Or is someone did, they kept is secret. Or DOUBLE-KO is in reality not as serious a problem as they are often portrayed as.

DOUBLE-KO have absolutely NO effect in determining the status of groups, and hence they are superfluous.

B) is correct.



C) A position for significantly complicating status confirmation?

Yes, indeed. This of course was the case in the past.

But luckily, Honte has his magic wand that he will be using soon.

The future will be easier. At least for those who have heard of Honte.

C) is wrong.



D) A tool for complicating status confirmation?

That may be the general assessment. However, it is not true, as we will see later.
See also B).

D) is wrong.

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

Dear Gérard,

Honte absolutely does not like your definition of "two-eye formation" (he does not understand it and therefore cannot apply it; I have to constantly help him), but he will nevertheless compensate you for the lost 9,990,000 yen.

The only price you have to pay for this is patience.

It's like using switchbacks to get to the top of a mountain. Not particularly steep, but looooooong. And it laaaaaaasts.
You will then be more than satisfied with the panoramic view from above.

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

Loops with a cycle-length of pseudo 6


##### About compositions of one ko-shape #####

Click Here To Show Diagram Code

[go]$$B
$$ ? ? ? ? ? ? ?
$$ ? ? ? ? ? ? ?
$$ ? ? X X X ? ?
$$ ? ? X O X ? ?
$$ ? ? O a O ? ?
$$ ? ? O O O ? ?
$$ ? ? ? ? ? ? ?
$$ ? ? ? ? ? ? ?[/go]

SIMPLE-ko

Click Here To Show Diagram Code

[go]$$B
$$ ? ? ?
$$ ? O ?
$$ ? a ?
$$ ? ? ?[/go]

Will save a lot of space...

Click Here To Show Diagram Code

[go]$$B
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . M M M . . . ? ? ? . . . . . . . . |
$$ | . . M Y M . . . ? W ? . . . . . . . . |
$$ | . . M X M . . . ? , ? . . . . , . . . |
$$ | . . M M M . . . ? ? ? . . . . . . . . |
$$ | . . . . . . . . . . . . . . . Y . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . Y . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . Q . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . Q . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . ? ? ? . . . M M M . . |
$$ | . . . , . . . . ? , ? . . . M O M . . |
$$ | . . . . . . . . ? B ? . . . M Q M . . |
$$ | . . . . . . . . ? ? ? . . . M M M . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+
$$ {AR L15 L5}
$$ {AR J5 J15}
$$ {AR L17 Q15}
$$ {AR Q13 Q5}
$$ {AR D8 D15}
$$ {AR F10 J4}
$$ {AR O11 L16}
$$ {AR J3 D6}
$$ {AR L18 Q15}
$$ {AR N10 L16}
$$ {AR G11 J4}
$$ {AR J2 D6}
$$ {AR P13 O11}
$$ {AR E8 F10}[/go]

This diagram shows the GENUINE simple-ko cycle.
The marked stones are those that have been played last.

However, both sides are free to leave the cycle shown (symbolised by the "double-arrows").
This exit can be taken at every position of the cycle.

Thereafter, the opponent has two options:
Option 1:
-- They fill the ko-shape.
-- This terminates status confirmation.
Option 2:
-- They play another move outside the cycle.
-- This returns to the cycle. Both sides have played one move each outside the cycle, what they could have done anyway.


--------------------------------------------

Click Here To Show Diagram Code

[go]$$B
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . ? ? ? . . . . . . . . |
$$ | . . . . . . . . ? W ? . . . . . . . . |
$$ | . . . , . . . . ? , ? . . . . , . . . |
$$ | . . . . . . . . M M M p a s . . . . . |
$$ | . . . Y . . . . . . . . . . s Y . . . |
$$ | . . . . . . p a . . . . . . . . p . . |
$$ | . . . . . . s s . . . M M M . . a . . |
$$ | . . p . . M M M . . . M Y M . . s . . |
$$ | . . a , . M Q M . , . M M M . , s . . |
$$ | . . s . . M M M . . . p a . . . . . . |
$$ | . . s . . . . . . . . s s . . . . . . |
$$ | . . . Q p . . . . . . . . . . Q . . . |
$$ | . . . . . a . . . . . . . . . . . . . |
$$ | . . . . . . s s M M M . . . . . . . . |
$$ | . . . , . . . . ? , ? . . . . , . . . |
$$ | . . . . . . . . ? B ? . . . . . . . . |
$$ | . . . . . . . . ? ? ? . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+
$$ {AR L17 Q15}
$$ {AR Q13 Q8}
$$ {AR D8 D13}
$$ {AR Q6 L3}
$$ {AR J3 D6}
$$ {AR D15 J17}
$$ {AR L18 Q15}
$$ {AR P7 L3}
$$ {AR J2 D6}
$$ {AR E14 J17}
$$ {AR P7 N10}
$$ {AR E14 G11}[/go]

However, the GENUINE simple-ko cycle is forbidden by the rules.

Thus, leaving the "cycle" is ENFORCED.
Let us restrict ourselves to "pass" for a while, because we want to create an alternative (pseudo) cycle.

The opponent MUST play another move OUTSIDE the "cycle" (which is another "pass" here) as well.

Thereafter, there are two options:
Option 1:
-- A THIRD "pass" is played. This terminates status confirmation.
Option 2:
-- They return to the cycle.

Conclusion:
Both sides found a way to act as is they were inside the GENUINE simple-ko cycle, without breaking the rules of the game.
However, this is nonsense, isn't it?

Therefore, a cycle that consists of ...

capture into a simple-ko
pass
pass
re-capture into that simple-ko
pass
pass

... does NEVER EVER have a GENUINE length of 6.

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

Click Here To Show Diagram Code

[go]$$B black to play and win
$$ +--------------------
$$ | . X X X O X . X . |
$$ | O O . X O O X X X |
$$ | . . . X O . O X O |
$$ | . X X X O O O O . |
$$ | . . O X X X X O O |
$$ | . O O . X . X X O |
$$ | X X X X X . . X X |
$$ | O O O . X . . . . |
$$ | . O . O X . . . . |
$$ +--------------------[/go]

Your are black playing against me (I am not a very good player indeed and I made a lot of mistakes in this game). You have got a good advantage but you might be disturbed by an important call which will force you to left the room. Fortunatly, should this happen, Honte is there and is allowed to help you and finish the game for you.
What move do you choose?

Honte basically agrees with your offer. But he is always very precise.

Additionally, "environment" plays an extremely important role in dog behavior. To give you an example:
If you ONLY practiced the command "sit" with a puppy in the living room, he would look at you with huge eyes when you say "sit" to him in the kitchen.

Thus…

-- Which territory ruleset do you want Honte to apply?
-- What is the komi?

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

-J89 or J2003 or GT territory rule as you want
-no komi

Any prisoners so far?

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

Yes no prisoner but wait a moment; I have to modify the position because I forget one point of the rule.

Honte sleeps anyway at the moment, so you can take your time...

Waking a sleeping dog is never a good idea.

_________________
The really most difficult Go problem ever: https://igohatsuyoron120.de/index.htm
Igo Hatsuyōron #120 (really solved by KataGo)

Click Here To Show Diagram Code

[go]$$B black to play and win
$$ +------------------------
$$ | . X X X X O O X . X . |
$$ | O O O X X O O O X X X |
$$ | . . . X X O O . O X O |
$$ | . X X X X O O O O O . |
$$ | . . O X X O O O O O O |
$$ | . O O . X O X X X X X |
$$ | X X X X X O X . . X . |
$$ | O O O O O X X X . X . |
$$ | . O X X X X . . X X X |
$$ | O O . X . . . . . . . |
$$ | O . O X . . . . . . . |
$$ +------------------------[/go]

That way it seems to work
no komi, no prisonners, japanese rule.

I am trying to read your diagram.
Why in the upper left corner you drawed a where I expected a ?
Same question with white stones in the bottom right corner.