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Tile efficiency: Difference between revisions
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==Important concepts== | ==Important concepts== | ||
===Five-block theory=== | ===Five-block theory=== | ||
"Five-block theory" states that a standard winning hand has five "blocks" - four groups + one pair. Each joint in the hand | "Five-block theory" states that a standard winning hand has five "blocks" - four groups + one pair. Each joint and sequence in the hand is considered a block. Since pairs can turned into triplets, each pair is also a block. When a hand has 6 blocks, one of them will eventually need to be discarded. Thus, it is good to build hands with 5 blocks in mind (i.e., having 6+ blocks is redundant). | ||
Example 2-shanten hands: | Example 2-shanten hands: | ||
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For this reason, aiming for 5 blocks is generally better for tile efficiency. | For this reason, aiming for 5 blocks is generally better for tile efficiency. | ||
*That being said, ''having 6 blocks is better than 5 blocks with 2 useless isolated tiles''. | *That being said, ''having 6 blocks is better than 5 blocks with 2 useless isolated tiles''. A 6th block is redundant, but better than useless. When you have excess blocks, you can discard one when: | ||
**You can upgrade one of your joints (e.g. turning a 45 ryanmen joint into a 445 complex joint). | **You can upgrade one of your joints (e.g. turning a 45 ryanmen joint into a 445 complex joint). | ||
**You enter 1-shanten. | **You enter 1-shanten. | ||
*When discarding the 6th block, discard the weakest block you have (the one that improves tile acceptance the least). For example, if deciding between a penchan and ryanmen, discard the penchan | *When discarding the 6th block, discard the weakest block you have (the one that improves tile acceptance the least). For example, if deciding between a penchan and ryanmen, discard the penchan. If you have two blocks of 23-man + 56-man, they have "duplicate acceptance" on the 4-man, so discarding one of those only leads to a loss of 4 tiles of acceptance. | ||
*You may want to keep 6 blocks when aiming for a yaku, such as [[pinfu]] or [[sanshoku]]. | *You may want to keep 6 blocks when aiming for a yaku, such as [[pinfu]] or [[sanshoku]]. | ||
*Sometimes, there may be multiple different ways to interpret a "block" (e.g. 5568 can be seen as 556 + isolated 8, or 55 + 68). | |||
==Yaku== | ==Yaku== | ||