Chuuren poutou: Difference between revisions

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'''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).
{{Infobox yaku
|type        = Yakuman
|kanji      = 九連宝燈<br>純正九蓮宝燈
|english    = Nine gates<br>Pure nine gates
|value      = Yakuman (closed only)
|yakuSpeed  = Very slow
|difficulty  = Very hard
|yakuCombine = * [[Tenhou]]
* [[Chihou]]
|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=2013102709gm-0009-7447-dce693b1&tw=0&ts=11 Missed chuuren]
}}
'''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.
 
==English reference==
* Nine gates for the regular pattern
* Pure nine gates for the 9 wait pattern


==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.
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.


==Formation==
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.


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


==External links==
[[Category:Yaku]]
[[Category:Yaku]]
{{Navbox yaku}}
{{Navbox machi}}
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