Sankantsu: Difference between revisions

From Japanese Mahjong Wiki
Jump to navigation Jump to search
No edit summary
Line 9: Line 9:
|gameExample = * [http://tenhou.net/0/?log=2008121721gm-00c1-0000-fcadb0d7&tw=3&ts=5 Triple kan]
|gameExample = * [http://tenhou.net/0/?log=2008121721gm-00c1-0000-fcadb0d7&tw=3&ts=5 Triple kan]
}}
}}
'''Sankantsu''' {{kana|三槓子}} is a standard [[yaku]]. This yaku requires [[kan]] to be called three times by one player. Due to this requirement, this yaku is actually the most difficult of the regular yaku.
'''Sankantsu''' {{kana|三槓子}} is a standard [[yaku]]. It requires the player to call [[kan]] three times. Despite being only worth 2 han, it is the rarest and most difficult out the regular yaku.


==Tile pattern==
==Tile pattern==
Line 15: Line 15:
{{#mjt:345p1z}} {{#mjt:44'44m0z88s0z2222'p}}  Waiting for: {{#mjt:1z}}
{{#mjt:345p1z}} {{#mjt:44'44m0z88s0z2222'p}}  Waiting for: {{#mjt:1z}}


Per the yaku's name, kan must be called three times; and as a result, the tenpai hand has at most four tiles remaining as closed. If necessary, the hand can call as far as a [[hadaka tanki|single tile remaining]].
Kan must be called three times, and as a result, the tenpai hand will have at most four tiles in its closed section. If necessary, the hand can call again to have a [[hadaka tanki|single tile remaining]].


==Development==
==Development==
Of all the standard yaku, sankantsu is the most difficult and least frequent. Its rate of occurrence is comparable to that of some yakuman.  As the name implies, [[kan]] must be called three times before the end of the hand. A fourth kan converts the hand to the yakuman, [[suukantsu]].  The difficulty stems from the need to call kan three times; but overall, the use of kan is risky play due to additional [[dora|kan-dora]], which may benefit the other players. This is true even for a single kan call, let alone three times.
Of all the standard yaku, sankantsu is the most difficult and least frequent. It appears less often than several [[yakuman]], including rarer yakuman like [[suuankou tanki]], [[tsuuiisou]], and [[shousuushii]].
* Being able to call 3 kans is difficult on its own. You must draw 3 of the same type of type by yourself, then draw/call the 4th, three separate times.
* Players may not want to call kan even if they can. Each kan reveals [[kandora]]; this is already risky after one kan, let alone three. And, until you get the 3rd kan, you won't have any guaranteed yaku (thus making the 1st and 2nd calls dubious).
* Even when someone is tenpai for sankantsu, the hand can end in the event another player calls kan for a fourth time, invoking an [[abortive draw]].


=== Viability ===
Overall, this yaku is not worth the its measly 2 han value.


Sankantsu's difficulty stems from its various pitfalls during hand development.  For starters, attaining the tiles necessary to call kan three times is difficult onto itself.  In order to call kan in the first place, a player has to draw three out of the four tiles.  In terms of frequency, games do not involve calls for kan all that often, let alone more than one instance in a hand.  Even when someone is tenpai for sankantsu, the hand can end in the event another player calls kan for a fourth time, invoking an [[abortive draw]].
== Compatibility ==
 
=== Compatibility ===
{{main|Yaku compatibility}}
{{main|Yaku compatibility}}


{{Yaku compatibility table|SNK}}
{{Yaku compatibility table|SNK}}


No sequential based yaku can combine with sankantsu.  Three out of the four possible tile groups must be called for kan, and they can be referred as "triplets plus one extra". This rules out [[pinfu]], [[iipeikou]], [[ryanpeikou]], [[ittsu]], and [[sanshoku doujun]]. [[Chiitoitsu]] is incompatible due to its usage of [[toitsu|pairs]]. Every other yaku is compatible.
Three out of the four tile groups must be called for kan, which are treated as triplets. This leaves no room for [[iipeikou]], [[ryanpeikou]], [[ittsu]], and [[sanshoku doujun]]. [[Pinfu]] and [[chiitoitsu]] forbid kan calls and are thus not compatible. Every other yaku is compatible.


==Value==
==Value==
This yaku is set at 2 [[han]]. However, the number of kans significantly increases the hand's value.  Even with the minimum 3 open kan of [[tanyao|simples]], they generate a [[fu|fu count]] of 8 fu each, for a total of 24 additional fu to the base 20.  So, at a minimum, this yaku is valued at [[Scoring table|2 han and 50 fu]], which is the equivalent of [[Scoring table|3 han and 25 fu]].
This yaku is set at 2 [[han]]. However, the number of kans will increases the hand's value through [[fu]] and (potentially) kandora.  


Even with a base of 2 han, the number of kan calls adds the probability of additional dora, which may have an immediate impact on the hand value.  Just one dora and adequate fu may bump the hand already into mangan. If any of the tiles used for kan became dora, that's instantly 4 dora.
At minimum, a hand with sankantsu is worth 2 han and 50 fu, which is [[Scoring table|equivalent]] to 3 han and 25 fu. To reach the minimum score, you must have 3 open kan composed of [[tanyao|simples]] (tiles 2-8). Each open simple kan is worth 8 fu, for a total of 24 additional fu to the base 20. The net total of 44 fu is rounded up to 50 fu.  


==External links==
==External links==

Revision as of 02:30, 14 June 2024

Sankantsu
Type Yaku
Kanji 三槓子
English Three kans
Value 2 han
Speed Very slow
Difficulty Very hard

Sankantsu 「三槓子」 is a standard yaku. It requires the player to call kan three times. Despite being only worth 2 han, it is the rarest and most difficult out the regular yaku.

Tile pattern

Waiting for:

Kan must be called three times, and as a result, the tenpai hand will have at most four tiles in its closed section. If necessary, the hand can call again to have a single tile remaining.

Development

Of all the standard yaku, sankantsu is the most difficult and least frequent. It appears less often than several yakuman, including rarer yakuman like suuankou tanki, tsuuiisou, and shousuushii.

  • Being able to call 3 kans is difficult on its own. You must draw 3 of the same type of type by yourself, then draw/call the 4th, three separate times.
  • Players may not want to call kan even if they can. Each kan reveals kandora; this is already risky after one kan, let alone three. And, until you get the 3rd kan, you won't have any guaranteed yaku (thus making the 1st and 2nd calls dubious).
  • Even when someone is tenpai for sankantsu, the hand can end in the event another player calls kan for a fourth time, invoking an abortive draw.

Overall, this yaku is not worth the its measly 2 han value.

Compatibility

^ Ippatsu requires riichi to be of any use.

RCH DRI IPP SMO TAN PFU IPK ITT YAK SDJ SDO TOI SNA SNK CHA JUN RPK SSG HRO HON CHN CHI RIN HAI HOU CHK
SNK

Three out of the four tile groups must be called for kan, which are treated as triplets. This leaves no room for iipeikou, ryanpeikou, ittsu, and sanshoku doujun. Pinfu and chiitoitsu forbid kan calls and are thus not compatible. Every other yaku is compatible.

Value

This yaku is set at 2 han. However, the number of kans will increases the hand's value through fu and (potentially) kandora.

At minimum, a hand with sankantsu is worth 2 han and 50 fu, which is equivalent to 3 han and 25 fu. To reach the minimum score, you must have 3 open kan composed of simples (tiles 2-8). Each open simple kan is worth 8 fu, for a total of 24 additional fu to the base 20. The net total of 44 fu is rounded up to 50 fu.

External links

Sankantsu in Japanese Wikipedia