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Shanten: Difference between revisions
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Multiple methods can be used to count a hand's shanten. These can be used to get a quick estimate of shanten during a game. | Multiple methods can be used to count a hand's shanten. These can be used to get a quick estimate of shanten during a game. | ||
=== | === "Useless" tile estimate === | ||
For the standard "4 groups + 1 pair" shape, every "useless" tile (any lone honor tile; number tiles with no neighbors in a +/- 2 interval) must be discarded or grouped in order to reach tenpai. Therefore, the # of useless tiles is a good minimum for the "4 groups + 1 pair" shape. The actual shanten | For the standard "4 groups + 1 pair" shape, every "useless" tile (any lone honor tile; number tiles with no neighbors in a +/- 2 interval) must be discarded or grouped in order to reach tenpai. Therefore, the # of useless tiles is a good minimum for the "4 groups + 1 pair" shape. | ||
The actual shanten count tends to be lower if a hand contains 4 or fewer blocks (defining "blocks" as groups/taatsu/pairs). It tends to be higher if it has 6 blocks, or if it lacks a pair. | |||
It is important to note that this method of counting useless tiles does not account for [[chiitoitsu]] or [[kokushi musou]]. | It is important to note that this method of counting useless tiles does not account for [[chiitoitsu]] or [[kokushi musou]]. | ||
'' | ''EstimatedShanten'' = ''Useless_tiles'' | ||
This method is most effective at the start of a game, and less towards the end. | This method is most effective at the start of a game, and less towards the end. | ||
=== Basic shanten === | === Basic shanten === | ||
A hand with 13 disconnected tiles | A hand with 13 disconnected tiles, the furthest a hand can be from the "4 groups + 1 pair" shape, would be 8-shanten from said shape. Drawing any tile, forming a [[taatsu]] or [[pair]], brings it a tile closer to tenpai, thus reducing shanten by 1. Completing a taatsu/pair, thus forming a tile group, will reduce shanten by 1 again (2 total). This results in the following calculation: | ||
*Every hand starts at 8-shanten. | *Every hand starts at 8-shanten. | ||