Daisangen: Difference between revisions

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 * [http://tenhou.net/0/?log=2014040608gm-000f-0000-be3f42d6&tw=3&ts=10 DSG] with [[tsuuiisou]]
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-'''Daisangen''' {{kana|大三元}} is a standard [[List of yaku#Yakuman|yakuman]].  This 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 standard [[List of yaku#Yakuman|yakuman]].  In English, it can be shortened to "DSG".  This yakuman involves the collection of all three tile groups of the [[sangenpai]] (dragon tiles).
 ==Tile pattern==
 {{#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==
-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.
+[[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.]]
+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 yakuman listed here, daisangen is the only one that can be played [[naki|open]].
-==Sekinin barai==
+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.
-[[Image:Real DSG pao.jpg|thumb|right|250px|Daisangen pao tsumo, with [[kamicha]] (left) fully liable.]]
+===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.
+===Sekinin barai===
 {{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.
+The rule of [[sekinin barai]] (or pao) may apply to daisangen. It applies when a player has made [[naki|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 to complete a [[kan]], sekinin barai still applies.
 ==External links==
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 | description =
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+* [https://pathofhouou.blogspot.com/2019/08/analysis-threat-of-pao.html Path of Houou blog entry]
+: Statistical analysis of pao
 [[Category:Yakuman]]
 {{Navbox yaku}}