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Shanten: Difference between revisions
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=== Basic shanten === | === Basic shanten === | ||
A hand with 13 disconnected tiles would be 8-shanten from the "4 groups + 1 pair" shape | A hand with 13 disconnected tiles would be 8-shanten from the "4 groups + 1 pair" shape; such a hand would be the highest shanten from said shape. Drawing a 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. | ||
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*In addition to 4 groups, the hand requires at least one pair. So, when (taatsu + pairs + groups) >= 5, having at least one pair will reduce shanten by 1. | *In addition to 4 groups, the hand requires at least one pair. So, when (taatsu + pairs + groups) >= 5, having at least one pair will reduce shanten by 1. | ||
For example, a hand with 6 taatsu and a lone tile is not (8-6=) 2-shanten; it is instead (8-4=) 4-shanten. A hand with 5 taatsu + 1 pair would be 3-shanten. | For example, a hand with 6 taatsu and a lone tile is not (8-6=) 2-shanten; it is instead (8-4=) 4-shanten. A hand with 5 taatsu + 1 pair would be (8-4-1=) 3-shanten. | ||
Note: A hand may be organized into different sets of groups. The interpretation with the lowest possible shanten is the correct answer. For example, "123456" could be interpreted as 1 complete group + 1 taatsu ("12 + 345 + 6") or 2 complete groups ("123 + 456"). In this case, the latter interpretation is clearly better. With more complex hands, it is less obvious which tiles to remove: it is essential to test every possibility '''or''' skip obvious possibilities. | Note: A hand may be organized into different sets of groups. The interpretation with the lowest possible shanten is the correct answer. For example, "123456" could be interpreted as 1 complete group + 1 taatsu ("12 + 345 + 6") or 2 complete groups ("123 + 456"). In this case, the latter interpretation is clearly better. With more complex hands, it is less obvious which tiles to remove: it is essential to test every possibility '''or''' skip obvious possibilities. | ||