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Composite Shapes (2)

There are many kinds of four-tile composite shapes, but on this page we will focus on combinations of one complete set plus one floating tile.

There are five basic patterns in this family, and every one of them is very important.

Nobetan Shape

(Example) 三筒牌图四筒牌图五筒牌图六筒牌图

This is a shape where four number tiles run in a row. There are six patterns, from 1234 through 6789, so the original page lists the acceptance for all of them.

Shape
Edge wait
Closed wait
Open wait Three-sided wait Pair Effective tiles
一万牌图二万牌图三万牌图四万牌图 二万牌图六万牌图 三万牌图五万牌图   一万牌图四万牌图 6 types, 20 tiles
二万牌图三万牌图四万牌图五万牌图 七万牌图 一万牌图三万牌图四万牌图 六万牌图 二万牌图五万牌图 7 types, 24 tiles
三万牌图四万牌图五万牌图六万牌图 一万牌图八万牌图 四万牌图五万牌图 二万牌图七万牌图 三万牌图六万牌图 8 types, 28 tiles
四万牌图五万牌图六万牌图七万牌图 二万牌图九万牌图 五万牌图六万牌图 三万牌图八万牌图 四万牌图七万牌图 8 types, 28 tiles
五万牌图六万牌图七万牌图八万牌图 三万牌图 六万牌图七万牌图九万牌图 四万牌图 五万牌图八万牌图 7 types, 24 tiles
六万牌图七万牌图八万牌图九万牌图 四万牌图八万牌图 五万牌图七万牌图   六万牌图九万牌图 6 types, 20 tiles

Just like single floating tiles, nobetan shapes get better the more they sit toward the center.

Please remember this clearly: 3456 and 4567 are the thickest four-tile shapes in mahjong. When you have one of them in your hand, you should count it as having the power to make two sets.

1234 and 6789 are functionally close to having a lone 4 or 9, but they have the advantage of being better at forming a pair.

In general, nobetan is a good shape and should be handled with care.

三万牌图四万牌图五万牌图六万牌图二筒牌图二筒牌图四筒牌图六筒牌图一索牌图二索牌图二索牌图五索牌图七索牌图九索牌图

For example, in this hand, discarding 三万牌图 and carelessly fixing the nobetan shape as a single set would be hardly an exaggeration to call extremely inefficient play.

Theory and Summary

Nobetan shapes have very wide acceptance. In particular, `3456` and `4567` are the four-tile composite shapes with the greatest power to make two sets.

Middle-Bulge Shape

(Example) 三筒牌图四筒牌图四筒牌图五筒牌图

This is a shape where the middle tile of a set is duplicated.

Shape
Edge wait
Closed wait
Open wait Pair Effective tiles
一筒牌图二筒牌图二筒牌图三筒牌图 一筒牌图四筒牌图 三筒牌图 二筒牌图 4 types, 12 tiles
二筒牌图三筒牌图三筒牌图四筒牌图   一筒牌图二筒牌图四筒牌图五筒牌图 三筒牌图 5 types, 16 tiles

1223 and 7889 have relatively narrow acceptance and easily create bad shapes, so they are not especially easy to use.

Compared with a lone 2 or 8, their main advantages are that they are slightly better at forming iipeikou, and that when they become an edge-wait-plus-closed-wait shape, they are better at making a pair. (67889, for example, can make a pair plus one set by drawing 5, 6, 8, or 9.)

But the middle-bulge shapes from 2334 through 6778 make open waits very easily, so they are extremely useful.

Theory and Summary

The middle-bulge shapes `2334`, `3445`, `4556`, `5667`, and `6778` can make an open wait with four kinds of tiles, and they also carry the possibility of iipeikou, making them excellent shapes.

Pseudo-Ryanmen Shape

(Example) 三索牌图四索牌图五索牌图五索牌图

Whether "pseudo-ryanmen" is truly the official name is debatable, but you will see this shape often.

1123 2234 3345 4456 2344 5567
3455 6678 4566 5677 6788 7899

Those are the twelve patterns in this family.

In terms of pure ability to make two sets, these shapes are not very different from a lone floating tile. (2234 is roughly like a lone 2, while 4566 is roughly like a lone 6.)

However, they have the following three advantages.

(1) Even if the shape remains as your final wait, it still works as is

三万牌图四万牌图五万牌图五万牌图一筒牌图二筒牌图三筒牌图五筒牌图八筒牌图八筒牌图四索牌图五索牌图六索牌图 Tsumo八筒牌图 → cut 五筒牌图 and riichi

Precisely because it is a composite shape, even after the pair disappears, you can still riichi with a clean six-tile wait.

(2) It carries iipeikou potential

(3) It can develop into an irregular three-sided wait

三万牌图五万牌图七万牌图八万牌图八万牌图一筒牌图一筒牌图二筒牌图三筒牌图七筒牌图三索牌图四索牌图八索牌图 Tsumo一筒牌图

Because it uses two identical tiles, the acceptance is a little thinner. But when one more tile comes in, the shape can become a three-sided wait while also keeping the pair. (In this example, that means 八万牌图, or anything from 一筒牌图 through 四筒牌图.)

One-Gap Shape

(Example) 五万牌图六万牌图七万牌图九万牌图

Try to become consciously aware of this shape.

In this example, the floating tile is 九万牌图. But if you draw 八万牌图, it immediately becomes the open-ended shape 五万牌图六万牌图七万牌图八万牌图九万牌图. Even when it only turns into a closed wait, it still has many ways to improve into a good shape, so it is much easier to use than a lone 九万牌图.

Shape
Edge wait
Closed wait
Open wait Three-sided wait Pair Effective tiles
一索牌图三索牌图四索牌图五索牌图 三索牌图六索牌图 二索牌图   一索牌图 4 types, 14 tiles
二索牌图四索牌图五索牌图六索牌图 一索牌图四索牌图七索牌图   三索牌图 二索牌图 5 types, 18 tiles
三索牌图五索牌图六索牌图七索牌图 一索牌图五索牌图八索牌图 二索牌图 四索牌图 三索牌图 6 types, 22 tiles
四索牌图六索牌图七索牌图八索牌图 二索牌图六索牌图九索牌图 三索牌图 五索牌图 四索牌图 6 types, 22 tiles
五索牌图七索牌图八索牌图九索牌图 三索牌图七索牌图 四索牌图六索牌图   五索牌图 5 types, 18 tiles
一索牌图二索牌图三索牌图五索牌图 三索牌图五索牌图 四索牌图六索牌图   五索牌图 5 types, 18 tiles
二索牌图三索牌图四索牌图六索牌图 一索牌图四索牌图八索牌图 七索牌图 五索牌图 六索牌图 6 types, 22 tiles
三索牌图四索牌图五索牌图七索牌图 二索牌图五索牌图九索牌图 八索牌图 六索牌图 七索牌图 6 types, 22 tiles
四索牌图五索牌图六索牌图八索牌图 三索牌图六索牌图九索牌图   七索牌图 八索牌图 5 types, 18 tiles
五索牌图六索牌图七索牌图九索牌图 四索牌图七索牌图 八索牌图   九索牌图 4 types, 14 tiles

The table above shows every one-gap composite shape.

Somewhat surprisingly, 5789 and 1235 do not differ very much from a lone 5, because the completed set sits at the edge and the shape is weak as a connected form. (Their advantage is that you can chi them into two sets, but that will always be with bad shapes.)

By contrast, 1 and 9 become much stronger here than they are on their own. The 1 in 1345 and the 9 in 5679 are even stronger than a lone 2 or 8.

Theory and Summary

One-gap composite shapes are good at making good waits, and they can also be called to make two sets at once.

Original Japanese page: http://beginners.biz/kihon/kihon10.html