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Tile efficiency: Difference between revisions
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→Five-block theory
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"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). | "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 of blocks: | ||
* {{#mjt:12367m23p334s334z}} can be split into: | |||
* {{#mjt:123m}} (group) + {{#mjt:67m}} (joint) + {{#mjt:23m}} (joint) + {{#mjt:334s}} (complex joint) + {{#mjt:33z}} pair - 5 blocks | |||
* {{#mjt:4z}} is an isolated tile which does not add anything to the hand. | |||
To see why 5 blocks is important, look at example 2-shanten hands: | |||
{| class="wikitable" | {| class="wikitable" | ||
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|} | |} | ||
The hand with 6 blocks has a better tile acceptance right now, since it can accept 28 tiles total. (Note: the 5 block hand can accept the same # of ''types'' of | The hand with 6 blocks has a better tile acceptance right now, since it can accept 28 tiles total. (Note: the 5 block hand can accept the same # of ''types'' of tile, but since some of the tiles are used in the hand, the acceptance is lower. In this case, 2/4 of the 3-sou tiles are used in the hand, so they can't be drawn again.) | ||
However, once a useful tile is drawn, the hand with 6 blocks has to discard one of the blocks, lowering the efficiency in the future. | However, once a useful tile is drawn, the hand with 6 blocks has to discard one of the blocks, lowering the efficiency in the future. | ||