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Tile efficiency: Difference between revisions
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→Five-block theory
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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 can be turned into 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 (e. | "Five-block theory" states that a standard winning hand has five "blocks" - four groups + one pair. Each joint in the hand can be turned into 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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Going from 1-shanten to tenpai is the slowest part of the hand. Therefore, it's better to improve tile efficiency at 1-shanten than 2-shanten - the returns are bigger. In this example, the 5-block hand is 15% worse (24/28 tiles) at 2-shanten, but 25% better (20/16 tiles) at 1-shanten. | Going from 1-shanten to tenpai is the slowest part of the hand. Therefore, it's better to improve tile efficiency at 1-shanten than 2-shanten - the returns are bigger. In this example, the 5-block hand is 15% worse (24/28 tiles) at 2-shanten, but 25% better (20/16 tiles) at 1-shanten. | ||
For this reason, aiming for 5 | 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''. In other words, discard floating tiles before joints; 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 ( | *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, unless the ryanmen has less available tiles. If you have two blocks of 23 + 56, they have "duplicate acceptance" on 4-pin, so discard one of them. | ||
*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]]. | ||
==Yaku== | ==Yaku== | ||