Chuuren poutou: Difference between revisions

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* [[Chihou]]
* [[Chihou]]
|gameExample = * [http://tenhou.net/0/?log=2014020612gm-0029-0000-d32403e3&tw=0&ts=9 Chuuren]
|gameExample = * [http://tenhou.net/0/?log=2014020612gm-0029-0000-d32403e3&tw=0&ts=9 Chuuren]
* [http://tenhou.net/0/?log=2013031001gm-0099-0000-xce45f0107584&tw=0&ts=6 Junsei chuuren 3p]
* [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''' {{kana|九連宝燈}} is a [[List of yaku#Yakuman|yakuman]] and a specific instance to [[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. A special pattern to a chuuren poutou [[Tenpai|tenpai]] produces one with a unique 9-sided wait.  In this case, the winning hand is then called '''junsei chuuren poutou''' {{kana|純正九蓮宝燈}}, or pure chuuren poutou. 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 [[Chiitoitsu|chiitoitsu]] and [[Kokushi musou|kokushi musou]].
'''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.
 
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.
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==
==Development==
The key to this yakuman is the possession of ankou of both 1's and 9's of one suit.  If two of either group of tiles are not available, then any attempt at this yakuman is no longer possible.  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]].
{{main|List of chuuren configurations}}
 
===Sample 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=100%
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 !! Machi
|-
|colspan=5 bgcolor="#AFCDFC" |
|-
| Pure ||align=center| {{#mjt:1112345678999m}} || Any || None ||
|-
|colspan=5 bgcolor="#AFCDFC" |
|-
| 1-A ||align=center| {{#mjt:1122345678999p}} || {{#mjt:1p}} || {{#mjt:23p}} || [[Shanpon]], [[Penchan]]
|-
|colspan=5 bgcolor="#AFCDFC" |
|-
| 1-B ||align=center| {{#mjt:1123345678999s}} || {{#mjt:1s}} || {{#mjt:24s}} || [[Kanchan]], [[Ryanmen]]
|-
|colspan=5 bgcolor="#AFCDFC" |
|-
| 1-C ||align=center| {{#mjt:1123445678999m}} || {{#mjt:1m}} || {{#mjt:369m}} || Shanpon, [[Ryanmenten]]
|-
|colspan=5 bgcolor="#AFCDFC" |
|-
| 1-D ||align=center| {{#mjt:1112445678999p}} || {{#mjt:3p}} || None || Kanchan
|-
|colspan=5 bgcolor="#AFCDFC" |
|-
| 1-E ||align=center| {{#mjt:1112346778999s}} || {{#mjt:5s}} || {{#mjt:78s}} || Ryanmen, [[Harabote]]
|-
|}


==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)
* [https://www.youtube.com/watch?v=-7su2I_D0y4 Chuuren] (YouTube)
: Kojima Takeo
: Kojima Takeo
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