Chuuren poutou: Difference between revisions

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|yakuCombine = * [[Tenhou]]
|yakuCombine = * [[Tenhou]]
* [[Chihou]]
* [[Chihou]]
|gameExample = * [http://tenhou.net/0/?log=2013031001gm-0099-0000-xce45f0107584&tw=0&ts=6 Junsei chuuren 3p]
|gameExample = * [http://tenhou.net/0/?log=2014020612gm-0029-0000-d32403e3&tw=0&ts=9 Chuuren]
* [http://tenhou.net/0/?log=2015082519gm-0009-0000-fde1c6c5&tw=2&ts=1 Junsei chuuren]
* [http://tenhou.net/0/?log=2013091303gm-0009-7447-40db80b7&tw=3&ts=3 Junsei chuuren]
* [http://tenhou.net/0/?log=2013091303gm-0009-7447-40db80b7&tw=3&ts=3 Junsei chuuren]
* [http://tenhou.net/0/?log=2013102709gm-0009-7447-dce693b1&tw=0&ts=11 Missed chuuren]
* [http://tenhou.net/0/?log=2013102709gm-0009-7447-dce693b1&tw=0&ts=11 Missed chuuren]
}}
}}
'''Chuuren poutou''' (九連宝燈) is a [[List of yaku#Yakuman|yakuman]]. It contains the 13-tile pattern 1-1-1-2-3-4-5-6-7-8-9-9-9 of the same suit, plus any one more tile from the suit. A chuuren poutou [[Tenpai|tenpai]] with the specific pattern already in place has a 9-sided wait, the winning hand is then called '''junsei chuuren poutou''' (純正九蓮宝燈).
'''Chuuren poutou''' {{kana|九連宝燈}} is a [[List of yaku#Yakuman|yakuman]] and a specific instance of [[chinitsu]]. It contains the 13-tile pattern 1-1-1-2-3-4-5-6-7-8-9-9-9 of the same suit, plus any one more tile from the suit. In addition, the hand must be closed. Calling a [[kan]] on the 1 or 9 invalidates the yakuman.


The 13-tile pattern generates a 9-sided wait even as a normal hand with four sets and a pair. Chuuren poutou is therefore no hand shape exception, unlike [[Chii toitsu|chii toitsu]] and [[Kokushi musou|kokushi musou]].
A special pattern of chuuren [[tenpai]], '''junsei chuuren poutou''' {{kana|純正九蓮宝燈}} ("pure churren poutou"), results in a 9-sided wait. It occurs when you complete the 1-1-1-2-3-4-5-6-7-8-9-9-9 pattern without any duplicate tiles. Unlike the 13-sided [[kokushi musou]], this 9-sided wait is formed naturally with four sets and a pair. Some [[yaku variations|rule variations]] consider this a [[double yakuman]].


==Tile pattern==
==Tile pattern==
[[Image:Chuuren real.jpg|right|thumb|250px|Chuuren poutou winning over [[daisangen]].]]


===Regular===
===Regular===
{{#mjt:1112345578999p}} Agari: {{#mjt:6p}}
{{machi
|pattern  = 1112345578999p
|tilewaits = 6p
|yasume    = 59p
}}


:''Note'': This hand can also win with {{#mjt:9p}}.  However, that would downgrade the hand to a mere [[Chinitsu|chinitsu]].
If this hand wins with either of the yasume tiles, the hand will score only [[chinitsu]] rather than the yakuman.


===Nine tile wait===
===Nine tile wait===
{{#mjt:1112345678999p}} Agari: Any pinzu 1 through 9.
{{machi
|pattern  = 1112345678999p
|tilewaits = 123456789p
}}


[[File:Nine-Gates-anim.gif]]
[[File:9Gates.gif]] <!--http://en.wikipedia.org/wiki/File:9Gates.gif-->


<!--http://en.wikipedia.org/wiki/File:Nine-Gates-anim.gif-->
In the above animation, the different winning tiles show the shifting tile group configurations as they count up 1 through 9. The groupings change with each winning tile. Sequential groups are marked in green, while the indicated pairs are marked blue.  Then in red, the 1 or 9 indicated as triplets.


==Value==
==Value==
Chuuren is a yakuman hand. However, while tenpai, some tile waits may actually award the hand for a considerably less value of haneman, as a closed chinitsu.  Some rules award a [[double yakuman]] instead when the hand goes out from the 9-sided wait.


As a yakuman, it is worth 32,000 points for a non-dealer and 48,000 points for the dealer.
==Development==
 
{{main|List of chuuren configurations}}
Some rules award a double yakuman instead when the hand goes out from the 9-sided wait.
 
==Formation==
The key to this yakuman is the possession of ankou of both 1's and 9's of one suit.  Of course, that is in addition to the collection of a string consisting of 2-8 tiles of the same suit.  Since this hand uses a single suit, it overlaps [[chinitsu]] during development.  In fact, many tenpai formations may result in chinitsu, rather than the yakuman.  This is due to the ability of chinitsu to form some [[Machi|complicated waits]].
 
===Different tenpai configurations===
 
<!--Example:
: {{#mjt:1112355678999p}} Agari: {{#mjt:1p}} - {{#mjt:4p}} - {{#mjt:5p}}
 
In this example, this hand is yakuman with with only one of those winning tiles.  Yet, the hand may win with the other two tiles but not be counted as yakuman.


We'll cover all the different patterns here.-->
Since this hand is made up of one suit, it overlaps with [[chinitsu]] during development. In fact, many tenpai formations may result in chinitsu instead of the yakuman.


{| class="wikitable" width=60%
The key to this yakuman is the possession of ankou of both 1's and 9's of one suit. If two copies of either 1 or 9 are unavailable, then the yakuman becomes impossible. Similarly, if all four of any other numbered tile is unavailable, then it also becomes impossible. Of course, gathering a string of 2-8 is also difficult.
|-
! Row !! Tenpai !! Yakuman !! Chinitsu
|-
|colspan=4 bgcolor="#AFCDFC" |
|-
| Pure ||align=center| {{#mjt:1112345678999m}} || Any || None
|-
|colspan=4 bgcolor="#AFCDFC" |
|-
| 1-A ||align=center| {{#mjt:1122345678999p}} || {{#mjt:1p}} || {{#mjt:23p}}
|-
|colspan=4 bgcolor="#AFCDFC" |
|-
| 1-B ||align=center| {{#mjt:1123345678999s}} || {{#mjt:1s}} || {{#mjt:24s}}
|-
|colspan=4 bgcolor="#AFCDFC" |
|-
| 1-C ||align=center| {{#mjt:1123445678999m}} || {{#mjt:1m}} || {{#mjt:369m}}
|}


==External links==
==External links==
{{jpwiki|九連宝燈}}
{{jpwiki|九連宝燈}}
* [https://scirate.com/arxiv/1707.07345 Mathematical study]
* [https://www.youtube.com/watch?v=-7su2I_D0y4 Chuuren] (YouTube)
: Kojima Takeo


[[Category:Yaku]]
[[Category:Yaku]]


{{Navbox yaku}}
{{Navbox yaku}}
{{Navbox machi}}

Latest revision as of 03:50, 20 March 2024

Chuuren poutou
Type Yakuman
Kanji 九連宝燈
純正九蓮宝燈
English Nine gates
Pure nine gates
Value Yakuman (closed only)
Speed Very slow
Difficulty Very hard

Chuuren poutou 「九連宝燈」 is a yakuman and a specific instance of chinitsu. It contains the 13-tile pattern 1-1-1-2-3-4-5-6-7-8-9-9-9 of the same suit, plus any one more tile from the suit. In addition, the hand must be closed. Calling a kan on the 1 or 9 invalidates the yakuman.

A special pattern of chuuren tenpai, junsei chuuren poutou 「純正九蓮宝燈」 ("pure churren poutou"), results in a 9-sided wait. It occurs when you complete the 1-1-1-2-3-4-5-6-7-8-9-9-9 pattern without any duplicate tiles. Unlike the 13-sided kokushi musou, this 9-sided wait is formed naturally with four sets and a pair. Some rule variations consider this a double yakuman.

Tile pattern

Chuuren poutou winning over daisangen.

Regular

Waiting for: Yasume:

If this hand wins with either of the yasume tiles, the hand will score only chinitsu rather than the yakuman.

Nine tile wait

Waiting for:

In the above animation, the different winning tiles show the shifting tile group configurations as they count up 1 through 9. The groupings change with each winning tile. Sequential groups are marked in green, while the indicated pairs are marked blue. Then in red, the 1 or 9 indicated as triplets.

Value

Chuuren is a yakuman hand. However, while tenpai, some tile waits may actually award the hand for a considerably less value of haneman, as a closed chinitsu. Some rules award a double yakuman instead when the hand goes out from the 9-sided wait.

Development

Since this hand is made up of one suit, it overlaps with chinitsu during development. In fact, many tenpai formations may result in chinitsu instead of the yakuman.

The key to this yakuman is the possession of ankou of both 1's and 9's of one suit. If two copies of either 1 or 9 are unavailable, then the yakuman becomes impossible. Similarly, if all four of any other numbered tile is unavailable, then it also becomes impossible. Of course, gathering a string of 2-8 is also difficult.

External links

Chuuren poutou in Japanese Wikipedia
Kojima Takeo