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Shanten: Difference between revisions
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=== Basic shanten === | === Basic shanten === | ||
A hand with 13 disconnected tiles, the furthest a hand can be from the "4 groups + 1 pair" shape, would be 8-shanten from that shape | A hand with 13 disconnected tiles, the furthest a hand can be from the "4 groups + 1 pair" shape, would be 8-shanten from that shape: | ||
:{{#mjt:147m258p369s12345z}} is 8-shanten, accepting any tile except {{#mjt:67z}} to reduce shanten | |||
Drawing basically 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. | ||
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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. | 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 | 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 group up: it is essential to test every possibility '''or''' skip obvious possibilities. | ||
''basicShanten'' = | ''basicShanten'' = | ||