Daisangen: Difference between revisions

Daisangen
Type	Yakuman
Kanji	大三元
English	Big three dragons
Value	Yakuman
Speed	Slow
Difficulty	Hard

VisualWikitext

Latest revision as of 08:03, 14 September 2024

Daisangen 「大三元」 is a yakuman scored when a hand has triplets/quads of all three dragons.

Tile pattern

Agari:

Note: This hand is also winnable with

, but this hand would be shousangen instead.

Development

Daisangen is one of the three yakuman gosanke 「役満御三家」, or "the three big families of yakuman", along with suuankou and kokushi musou. Of the three, daisangen is the only one that can be played open.

As the name implies, this yakuman depends on all three dragons. If at least two copies of a dragon tile are unavailable, then completing a triplet becomes impossible, thus preventing the yakuman.

Viability

Most daisangen hands will call for the dragon tiles. One of the more reasonable hands to aim for daisangan is a hand with three pairs of dragons, which can pon any of them. Alternatively, a hand with two pairs of dragons can draw the third, then chase daisangen/shousangen if the third is paired.

Sekinin barai

Main article: Sekinin barai

The rule of sekinin barai (i.e. pao) may apply to daisangen. It applies when a player has made open calls (pon/kan) with two of the dragons. When another player discards the third dragon, and that dragon is called so that all three dragons are in one hand, then the discarder is liable to pay for the yakuman.

If the yakuman hand wins via ron, the discarder and ronned player each pay half. If the yakuman hand wins via tsumo, the discarder pays the entire hand. This effectively punishes a player for guaranteeing a yakuman. However, even if the third dragon is called for a kan, pao is still applied.

External links

大三元

Daisangen in Japanese Wikipedia

麻雀-役満藤川孝治の大三元-New Wave Cup/MONDO TV (YouTube)

Daisangen scored in the New Wave Cup

麻雀-役満プロ雀士-滝沢和典の大三元モンド麻雀プロリーグ第11回モンド杯/MONDO TV (YouTube)

Path of Houou blog entry

Statistical analysis of pao

@@ Line 16: / Line 16: @@
 * [http://tenhou.net/0/?log=2014040608gm-000f-0000-be3f42d6&tw=3&ts=10 DSG] with [[tsuuiisou]]
 }}
-'''Daisangen''' {{kana|大三元}} is a standard [[List of yaku#Yakuman|yakuman]].  For short, English speakers may shorten to "DSG".  This yakuman involves the collection of all three tile groups of the [[sangenpai]] (dragon tiles).  It is one of the three '''yakuman gosanke''' {{kana|役満御三家}}, or "the three big families of yakuman".
+'''Daisangen''' {{kana|大三元}} is a [[yakuman]] scored when a hand has triplets/quads of all three [[dragon]]s.
 ==Tile pattern==
@@ Line 22: / Line 22: @@
 {{#mjt:456m33p55z}} {{#mjt:66'67'77z}} Agari: {{#mjt:5z}}
-: ''Note'': This hand is also winnable with {{#mjt:3p}}, but this hand would be [[shousangen]] instead.
+: ''Note'': This hand is also winnable with {{#mjt:3p}}, but this hand would be [[shousangen]] [[yasume|instead]].
 ==Development==
 [[Image:Kyuu Yakuman Sega 00.png|thumb|right|250px|Daisangen in Sega Mahjong.]]
 [[Image:Real DSG pao.jpg|thumb|right|250px|Daisangen pao tsumo, with [[kamicha]] (left) fully liable.]]
-As the name implies, this yakuman depends on all three dragons.  In the event where one dragon type is not available as a tiplet, then this yakuman is no longer possible.
+Daisangen is one of the three '''yakuman gosanke''' {{kana|役満御三家}}, or "the three big families of yakuman", along with [[suuankou]] and [[kokushi musou]]. Of the three, daisangen is the only one that can be played [[naki|open]].
+As the name implies, this yakuman depends on all three dragons. If at least two copies of a dragon tile are unavailable, then completing a triplet becomes impossible, thus preventing the yakuman.
 ===Viability===
-Most instances of daisangen involve open calls for the dragon tiles.  Therefore, one of the more reasonable hand states involve three pairs of the dragon tiles.  That gives a player the opportunity to call on those tiles or at least have a [[shanpon]] tenpai involving one of the dragons.  On occasion, a very lucky player could develop a completely closed hand with the yakuman embedded.  This may leave players unsuspecting.
+Most daisangen hands will call for the dragon tiles. One of the more reasonable hands to aim for daisangan is a hand with three pairs of dragons, which can pon any of them. Alternatively, a hand with two pairs of dragons can draw the third, then chase daisangen/shousangen if the third is paired.
-The chances for daisangen can be rendered impossible for a hand, if at least 2 out of 4 tiles of any dragon type is discarded or made unavailable.
+==Sekinin barai==
+{{main|Sekinin barai}}
-===Sekinin barai===
+The rule of [[sekinin barai]] (i.e. pao) may apply to daisangen. It applies when a player has made open [[call]]s (pon/kan) with two of the dragons. When another player discards the third dragon, and that dragon is called so that all three dragons are in one hand, then the discarder is liable to pay for the yakuman.
-{{main|Sekinin barai}}
-The rule of [[sekinin barai]] applies to daisangen in the form of yakuman '''pao'''.  This occurs when a player seeking to develop this yakuman already had made [[naki|open calls]] (pon) with two out of the three possible dragon types.  The rule is then invoked when the third type is discarded and called to complete the yakuman portion of the hand.  So, the call upgrades the hand into a very obviously open daisangen.  That third discarder becomes partially liable or fully liable for that play.
+If the yakuman hand wins via ron, the discarder and ronned player each pay half. If the yakuman hand wins via tsumo, the discarder pays the entire hand. This effectively punishes a player for guaranteeing a yakuman. However, even if the third dragon is called for a kan, pao is still applied.
 ==External links==
@@ Line 51: / Line 54: @@
 | description =
 }}
+* [https://pathofhouou.blogspot.com/2019/08/analysis-threat-of-pao.html Path of Houou blog entry]
+: Statistical analysis of pao
 [[Category:Yakuman]]
 {{Navbox yaku}}