vineri, 6 aprilie 2012

Mahjong - Riichi game

Rules

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Tiles used in Riichi

Riichi is played with a set of rectangular tiles. Below you find a list of the tiles used in the classic game. Each of the tiles shown, occurs four times in a complete mahjong set, except for the bonus tiles of which there are only one copy of each type.
Figure 1. Bamboo
BambooBambooBambooBambooBambooBambooBambooBambooBamboo

Figure 2. Character
CharacterCharacterCharacterCharacterCharacterCharacterCharacterCharacterCharacter

Figure 3. Circles and Dots
Circles and DotsCircles and DotsCircles and DotsCircles and DotsCircles and DotsCircles and DotsCircles and DotsCircles and DotsCircles and Dots

Figure 4. Winds
WindsWindsWindsWinds





Figure 5. Dragons
DragonsDragonsDragons





The objective of the game

Riichi is played as a series of hands. The objective of each hand is to collect tiles to form one of the scoring pattern described later and thereby achieving a mahjong hand. A mahjong hand normally consists of four sets of the form detailed below plus a pair of tiles.
A set must consist of either three identical tiles (called a pon),
Figure 6. Example pon
Example ponExample ponExample pon






or four identical tiles (called a kan),
Figure 7. Example kan
Example kanExample kanExample kanExample kan





or three Suit tiles in numerical sequence and of the same suit (called a chii).
Figure 8. Example chii
Example chiiExample chiiExample chii






A pon or a kan must be made up of identical tiles. Note also that a chii must consist of exactly three tiles, no more and no less, and of the same suit.
The pair may be any pair, as long as it consists of two identical tiles.
Figure 9. Example pair
Example pairExample pair







Note that there are also two special mahjong hands: Seven Pairs and Thirteen Orphans, which do not confirm to the “four sets, one pair” rule above! Go to the Special Hands section to see a description of these special hands.

A brief overview of the game play

In riichi, the four players sit at a table facing each other, as when playing bridge or whist. Unlike in these card games, however, riichi players do NOT play in teams: rather, it is every player for himself.
Each deal begins by shuffling and arranging the 136 tiles in a square 2x17 tiles long on every side, called “the Wall”. Then each player draws (according to a certain ritual) 13 tiles each; the exception is the player in the East seat, who draws 14 tiles. (Here, this entire process is taken care of by the software.)
The players, starting with East who must first discard one of his/her tiles, now in counterclockwise order take turns to draw tiles: either the last one discarded by a previous player (provided certain conditions are met), or the next available one from the Wall. After drawing, that same player must immediately discard a tile, after which it is the next player's turn.
While drawing and discarding, each player tries to exchange and arrange his/her tiles so as to form them into a mahjong hand. The first player to accomplish this declares mahjong, upon which the game immediately stops. Note that a player declaring mahjong and thereby going out, does not discard a tile in that same turn.
The winning player is then paid by all the others: the more valuable the hand, the more points he/she gets. Then all the tiles are shuffled together again and another deal begins.
Riichi is also playable with two or three players instead of four (though the game works best with four), following the same principles as above.

Determining the seats

As soon as you choose a table here, the software will take you to it and randomly assign you a seat. If you enter a tournament, the software will assign you both a table and a seat at it.
Each player's seat is designated by a name, the same as for the cardinal directions. Going counterclockwise, the seats are referred to as East-South-West-North. Note that this order is the customary one among the Chinese, from where the game of mahjong and also riichi originates. It is NOT the same as on a compass!

Arranging the wall

As soon as a new deal begins, the 136 tiles are shuffled and then arranged in a square: each side is 17 tiles long, and 2 tiles high. This arrangement is called “the Wall”.
With the help of dice, the spot where you “break the Wall” and start drawing tiles is randomly chosen. The fourteen tiles counterclockwise from this position are reserved as the “dead wall”. The remaining tiles are called the “live wall”. All this is automatically handled by the software.

The Dora Indicator

After the wall has been arranged, the third tile of the dead wall is turned over. This tile is called the dora indicator, and points out which tile is dora during this hand. The dora is a bonus tile, and for each dora tile in the winning hand, an extra double of the score is rewarded.
If the dora indicator is a suit tile, the dora will be the next higher tile in the same suit; the number wraps around so if the dora indicator is a nine, the dora will be a one in the same suit.
If the dora indicator is a wind tile, the dora is the next wind in the sequence: east, south, west, north.
If the dora indicator is a dragon, the dora is the next dragon in the sequence: red, white, green.

Dealing the tiles

Starting with East taking the first 4 tiles, each player eventually draws 13 tiles from the live wall; the exception is the player in the East seat, who draws 14 tiles. Again, here the entire process is automatically taken care of by the software.
When the tiles are dealt, you will see your own tiles face up on the screen, while those of the other players are seen standing on edge and are hidden from you.
During the game you will draw “normal” tiles from the live wall in clockwise fashion, but drawing any replacement tiles from the the dead wall. The dead wall is always kept at the size of 14 tiles.
If the live wall is empty and a player needs to draw a tile from the wall, play stops. This is called a “washout” or a “dead hand” (see below).

Turn order and basic game play

The East player always takes the first turn, by discarding any of the 14 tiles in his hand, face up within the area of the Wall. If none of the other players claims this tile, South now draws the next tile from the Wall and then discards any of his tiles in the same manner, followed by West, North, East again, and so on in counterclockwise order around the table, drawing and discarding each time in turn.
Note that the tiles from the Wall are drawn in clockwise fashion, while the turn order among the players goes counterclockwise!
The only time that you do not draw a tile from the Wall during your turn, is when you instead claim another player's recently discarded tile.

Claiming a tile for a pon

If any of the other players discards a tile which you need to complete a pon (three identical tiles), you may say “Pon!” and then pick up this tile. Any player/-s sitting between you and he/she who discarded the tile, are skipped over in turn order.
You must then at once, during that same turn, expose and put on the table (face up) the set you claimed for. After this you as usual discard a tile, and the turn then passes to the next player counterclockwise.
Example: South has two White Dragons in hand, when East discards another White Dragon. South immediately shouts “Pon!”, picks up the tile, and exposes and places his three White Dragons as a set beside him on the table. Then South discards one of the tiles in his hand, and it is East's turn again. Note that West and North were skipped over in the turn sequence!
If no player claims a newly discarded tile, it is considered “dead”, remains face up on the table, and may NOT be claimed at a later point in the game.
The claimed tile is put sideways in the exposed set, so as to show which of the other players discarded it.

Claiming a tile for a kan

Claiming a tile for a kan (four identical tiles) is performed exactly as when claiming a tile for a pon – see above. The only difference is that the player claiming and exposing the kan must then immediately draw a replacement tile from the Dead Wall, before discarding one of the tiles in hand. (This replacement is done for mathematical reasons: if you do not draw a replacement tile after putting down a kan, it is impossible to form four sets and a pair with the tiles you have in hand!)
Example: North has three tiles of the Four of Bamboos in hand, when West discards another Four of Bamboos. North immediately shouts “Kan!”, picks up the discarded tile, exposes and puts down her set of four identical tiles, draws a replacement tile, and finally discards one of her tiles, after which it is East's turn. Note that in this example, none of the other players were skipped over in the turn sequence.
As when claiming a tile for a pon, the claimed tile is put sideways in the exposed set, so as to show which of the other players discarded it.
Each time a player declares a kan, an additional dora indicator is turned over in the dead wall. These extra dora are called kan dora.
Only four kans are allowed during a single hand. If all of them are declared by the same player, the game continues, but no further kans can be declared. However, if more than one player have declared kan, the hand is ended as an abortive draw.

Claiming a tile for a chii

Claiming a tile for a chii may ONLY be done by the next player in turn. South may only claim such a tile if it is discarded by East; West may only claim such a tile if it is discarded by South; and so on around the table. Apart from this, the procedure is the same as when claiming a tile for a pon.
Example: South discards the Eight of Characters. West, who is next in turn, happens to have both the Six and the Seven of Characters and therefore immediately shouts “Chii!” and picks up the discarded tile. He exposes his set, puts it on the table, and discards one of his tiles in hand. Now it is North's turn.
As when claiming a tile for a pon, the claimed tile is put sideways in the exposed set, so as to show which of the other players discarded it.
If completing a chii would also complete your mahjong hand, you may claim this tile no matter which of the other players discards it – just say “Ron!” and pick up the tile to your hand.

Claiming a tile for the pair

This may only be done on one condition: that the player claiming the tile thereby immediately can finish his mahjong hand and go out. Under no other circumstances may a player claim a discard to complete the pair (any pair) needed in a mahjong hand.

Further notes on claiming tiles

Note: you are NEVER forced to claim a suitable tile! Instead, you may if you wish just draw the next tile from the Wall, even if you could have claimed the previous discard.
What happens if two players both claim the same tile? Then the claim priority rules come into effect:
  1. Claiming a tile for a pon or a kan has priority over claiming for a chii.
  2. Claiming a tile for mahjong has priority over any other claim.
  3. If two or three players both claim the same tile for mahjong, all of these players will be awarded with points for their mahjongs.
When playing at this site, any claiming options on your turn are clearly indicated on the screen by the software – just click to claim, within the set time limit.
If you do not claim a possible tile before the next player in turn draws a tile from the Wall, you have forfeited your opportunity and may not claim the discarded tile later in the game; this is also the custom in a live game!

Completing a concealed pon or chii by drawing

If drawing a tile from the Wall completes a pon in your hand, or a chii, or if you are dealt such a set at the start of the game, it is considered concealed and you do NOT need to declare this set before you go out by achieving your mahjong hand: when this occurs, such sets are shown but still considered concealed. Keeping your opponents from knowing whatever combinations of tiles you have in hand during play is a tactical advantage!
Any tiles in concealed sets in hand may of course be rearranged in new combinations, whenever you wish. However, exposed sets may never be touched.

Drawing the fourth identical tile when you have a concealed pon

If you already have a concealed pon (three identical tiles) in hand, and draw the fourth identical tile from the Wall, you have a concealed kan. You declare this set by putting it on the table in that same turn. You must then immediately draw a replacement tile from the Dead Wall, after which you as usual discard a tile. It is then the next player's turn.
If you are dealt a concealed kan at the start of the game, you also declare it in the same way, and draw a replacement tile.
Note that you are not required to declare a concealed kan! You may if you wish keep your concealed pon, and use the fourth identical tile in a chii set instead.

Drawing the fourth identical tile when you have an exposed pon

If you have previously claimed a tile to complete a pon, having the exposed pon beside you on the table, and you later yourself draw the fourth identical tile from the Wall, you may add this tile to your exposed pon: this turns it into an exposed kan instead.
Note that you may NOT claim this fourth tile to an already exposed pon, if it is discarded by another player!
When drawing and adding the fourth identical tile, you must as with any declared kan draw a replacement tile from the Dead Wall before discarding.

Robbing a Kan

If another player extends a pon to a kan, with a tile that you need to go mahjong, it is possible to steal that fourth tile, just as if it was discarded. This is called robbing the kan, and not only let you go out, but also gives you an extra yaku. You can only rob a kan if you go out directly on that tile.

Riichi

When you only need one more tile for a complete mahjong hand, you are said to be waiting, or tenpai. If you are waiting with a concealed hand, you can declare riichi, which will award you one yaku if you manage to go out with mahjong.
You declare riichi by saying “Riichi!” and discard a tile that leave you with a waiting hand. The discarded tile is placed sideways and you have to put a 1000-point stick at the table. After you have declared riichi, you may no longer change your hand. Each tile you draw must immediately be discarded until you go mahjong.
Besides the yaku you gain from having declared riichi, you will also be rewarded with additional dora tiles, called ura-dora. Each of the tiles beneath a dora or kan-dora tile in the dead wall, will be revealed after you've gone out, and for each of the tiles in your hand pointed out by these ura-dora indicators will reward you an extra double.

Declaring mahjong and going out

If you draw the last tile you need to complete your mahjong hand from the wall, you say “Tsumo!”. Show the tiles you have in hand, taking care to mark concealed sets.
You may also claim the last tile you need to complete your mahjong hand, regardless of whether for a pon, a chii, or the pair, and regardless of which of the other players discards it. If you claim a tile from your opponent to go mahjong you call out “Ron!”.
As soon as a player calls out “Tsumo” or “Ron”, play immediately stops after that player has shown his or her hand.
Note that when going out with a mahjong hand, you draw or claim a tile – but this is the only time you do NOT discard a tile during your move!
Now the scoring begins, for the winning hand – see the Scoring section for information on this.

Furiten

When you are missing just one tile to go mahjong, you are said to be waiting, or tenpai. The tile or tiles that let you go out is called your waiting pattern. The rule of furiten, or sacred discards, says that you may not go mahjong on a discard from another player, if you have earlier discarded a tile in your waiting pattern. The only ways to go mahjong when you are furiten is to either go out on self-draw from the wall, or change your hand so that your waiting pattern no longer includes any of your discards.
There is also a related concept called temporary furiten, which states that if a player discards a tile that you can go mahjong with, and you choose not to, you are temporary furiten. This means that you have forsaken your chance of going mahjong on a discard until your next turn. However if the go-around is interrupted by a claim for pon, kan or chii, you are no longer temporary furiten.

Exhaustive Draw

Play continues until a player goes out, or until no tiles remain in the live wall, i.e., only the 14 tiles of the dead wall remains. If the last allowable tile is drawn from the live Wall and no player goes out on either this tile or the discard from the player who drew the last available tile, it is known as an “exhaustive draw”.
In an exhaustive draw, each player that is only waiting for one additional tile, is said to be “tenpai” (waiting). The remaining players are said to be “noten”. The tenpai player are awarded a total of 3000 points distributed evenly among them, which is paid together by the noten players. In three and two player games, the point pool is reduced to 2000 and 1000 points respectively.

Abortive Draw

In addition to exhaustive draw, the game can also be aborted at an earlier stage if any of the following conditions are met:
  • Four kans have been declared, and they are not declared by the same player, and noone can go mahjong on the discard of the player claiming the fourth kan.
  • All players discard the same wind tile in the first uninterrupted go-around.
  • All players have declared riichi, and no player was able to mahjong on the discard of the last player.

After an abortive draw east puts a dealer-repeat counter on the table, in form of a 100-points stick, and a new hand is dealt, with the players continue playing with the same wind. No points are paid between the players.

Dealer Rotation and Repeat Counters

In express games, the seating positions are rotated one step counterclockwise after each hand: the East player now becomes North, the South player becomes East, and so on. This is the case even if the hand was an exhaustive draw or an abortive draw, and regardless of who won.
For multi-hand games, i.e., sit-and-go and multi-table tournaments, the dealer rotation is more complex:
  • If east wins, that player continues in the east position for the next hand.
  • In east round, in case of an exhaustive draw, the deal is rotated.
  • In south round, in case of an exhaustive draw, the deal is rotated unless east is tenpai.
  • If the hand ends with an abortive draw, the deal is repeated with the same seating.
  • Otherwise, the deal is rotated.

Each time a hand is ended and no dealer rotation occurs, a 100-point stick is placed on the table. For each such stick, an extra bonus of 100 points are paid by each player to the winner in subsequent rounds.
As soon as a player has achieved a mahjong hand and gone out, play stops and the winner's hand is scored.
The calculation of the score and payment between the players in riichi is quite involved. It is documented in full below, but since it is done automatically by the mahjong software, you do not need to know all the details to begin play. Since you need at least one yaku to go out, the best place to start is to learn some of the simpler scoring patterns, and try to achieve them in play. Later you can come back here to get a deeper understanding of how the score is calculated.
Scoring of a hand in riichi is done in two steps:
  1. The base score is calculated. This score is mainly based on the points received for going mahjong plus points for the pons and kans in your hand.
  2. The base score is then doubled a number of times depending on the scoring pattern the hand matches and the number of dora tiles included in the hand.

After the score has been calcuated, payment is done to the winner. In case of a tsumo, each player pays the score to the winner, but if the winner goes out on a discard, the discarding player pays for all the other players.

Calculating the Base Score

The first step in calculating the hand score, is to sum up the base points of the hand. These points consist first and foremost of points awarded for going mahjong. The amount of points awarded for going mahjong depends on how the mahjong was achieved according to the table below:
Mahjong TypePoints
Closed Ron30
Seven pairs25
Other20

To the mahjong score, points are added for each pon and kan in the hand:
MeldOpenConcealed
Pon, Simples24
Pon, Terminals/Honors48
Kan, Simples816
Kan, Terminals/Honors1632

Lastly, additional points are added according to the following table:

Points
Pair of dragons 2
Pair of seat wind 2
Pair of prevalent wind 2
Winning on an edge, closed or single wait 2
Winning on self-draw 2
Open Pinfu 2
If the final tile can be added to different sets, the software will choose the most advantageous way to do this, e.g., sometimes it is better to forsake the 2 points for an edge-wait, in order to get a pinfu hand .
After all of the above points has been added, the result is rounded up to the nearest even 10.

Yakus (doubles)

After the base score of the hand has been calculated, it is time to add points for doubles. Doubles come from two sources:
Scoring Patterns
Each scoring pattern is arwarded a number of doubles depending on how difficult it is to achieve, as noted in the table below. You need to get at least one double from a scoring pattern to go mahjong.
Dora
Each dora, kan dor and ura dora in the hand gives an extra double. If there are more than one copy of the same dora indicator, you will be awarded a double for each of the dora indicators, for each occurrence of the indicated tile in your hand, e.g., if the dora indicator is bamboo 4 and an additional bamboo 4 shows up as a kan dora, and you have a pon in bamboo 5, you will get 6 doubles.

If the number of doubles is smaller than five, the base pointed is doubled by the above number of doubles plus two extra ones, e.g., if you have achieved a scoring pattern valued as one double, you will double the result three times, i.e., multiply by eight. The result may never exceed 2000 points.
If the number of doubles is five or larger, the hand is a limit hand and the base score is not used. Instead the score is taken from the following table:
DoublesNamePoints
5Mangan2000
6-7Haneman3000
8-10Baiman4000
11-12Sanbaiman6000
13+Yakuman8000
If you achieve 13 or more doubles or have a hand that matches one of the special yakuman scoring patterns. The exact number of doubles are no longer of interest. However, it is possible to have multiple yakumans, for which you will be awarded 8000 points each.

List of Yaku patterns

NameOpenConc.Description
Riichi-1Going out with mahjong after having declared riichi (see ????). One extra yaku is awarded if you go out within the next uninterrupted go-around, inluding your next draw from the wall (Ippatsu). One extra yaku is awarded if riichi was declared in the very first uninterrupted go-around (Daburu riichi).
Fully Concealed Hand (Menzen Tsumo)-1Going out on self-draw with a concealed hand.
All simples (Tanyaou Chuu)-1A concealed hand consisting only of suit tiles 2-8.
Pinfu-1A hand with four chiis and a valueless pair, that has not been won by going out on a single wait, a closed wait or an edge wait.
Pure Double Chii (Iipeikou)-1Two chiis of the same value and suit.
Mixed Triple Chii (San Shoku Doujun)12Three chiis of the same value, with one in each suit.
Pure Straight (Itsu)12Three consecutive chiis (1-9) in the same suit.
Dragon Pon (Fanpai/Yakuhai)11A pon or kan in dragons
Seat Wind (Fanpai/Yakuhai)11A pon or kan in the players wind.
Prevalent Wind (Fanpai/Yakuhai)11A pon or kan in the prevalent wind.
Outside Hand (Chanta)12A hand where all sets contain a terminal or honor tile, and at least one of the sets is a chii.
After a Kan (Rinchan Kaihou)11Going out on a replacement tile for a kan.
Robbing a Kan (Chan Kan)11Going out by robbing a kan (see ????)
Bottom of the Sea (Haitei)11Going out on the last tile of the live wall, or the discard thereafter.
Seven Pairs (Chii Toitsu)-2A hand consisting of seven pairs. Note, that this is one of the two special hands that don't follow the standard 4 sets plus 1 pair formula. It is also special in that you are awarded 25 points for going mahjong with a seven-pairs hand.
Triple Pon (San Shoku Dokou)22One pon or kan in each of the three suits, all having the same number.
Three Concealed Pons(San Ankou)22Three concealed pons or kans.
All Pons (Toi-toi hou)22A hand with four pons/kans and one pair.
Half Flush (Honitsu)23A hand with tiles from only one suit plus honor tiles.
Little Three Dragons (Shou Sangen)22Two pons/kans of dragons plus one pair of dragons.
All Terminals and Honors (Honroutou)22A hand consisting of only terminals and honors.
Terminals in All Sets (Junchan Taiyai)23A hand with atleast one chii and where all sets and the pair contains terminals.
Twice Pure Double Chiis (Ryan Peikou)-3Two pair of chiis, where each pair consists of two identical chiis.
Full flush (Chinitsu)56A hand with tile from only one suit and no honor tiles.

List of Yakuman patterns

NameOpenConc.Description
Thirteen Orphans (Koku Shimusou)-1One of each honor tile and terminal plus a fourteenth tile forming a pair with one of those tiles.
Nine Gates (Chuuren Pooto)-1Going out with a waiting hand consisting of the tiles 1112345678999 in one suit.
Blessing of Heaven (Tenho)-1East wins on the initial hand.
Blessing of Earth (Chiho)-1A hand won on self draw in the first go-around.
Blessing of Man (Renho)-1A hand won on discard in the first go-around.
Four Concealed Pungs (Suu Ankou)-1Four concealed pons or kans.
Four Kans (Suu Kan Tsu)11Four kans.
All Green (Ryuu Iisou)11A hand consisting of only green tiles, i.e., green dragons and bamboo 2, 3, 4, 6 and 8.
All Terminals (Chinrouto)11A hand consisting of only terminal tiles.
All Honors (Tsuu Iisou) 11A hand consisting of only honor tiles.
Big Three Dragons (Dai Sangen)11A pon or kan in each of the three dragons.
Little Four Winds (Shou Suushi)11A pon or kan in three of the winds and a pair in the fourth wind.
Big Four Winds (Dai Suushii)22A pon or kan in each of the four winds.

Payment

The final score calculated in the previous section serves as a base payment for the other players. In case of a tsumo each player pays this amount to the winner. East is treated slightly different, and will pay double the score if loosing, or receive double the score from each of the other players if he or she is winning. This means that the winning player of a four-player game normally receives four times the score (two times from east, and one time from each of the two other players), but if east is winning, he or she gets six times the score (two times the score from each of the other players).
If the winner goes out on ron, the discarding player pays for all players, i.e., six times the score if east is winning, or four times the score if another player is winning in a four-player game.
Sometimes it can happen that more than one player goes out on the same discard. In that case the discarding player will settle the payment separately with the winners, and pay the full amount to each of them.
All payments that are made are rounded up to the nearest 100. The rounding is done after all doubles have been applied, e.g., if west wins with tsumo and the score is 240, east will pay 500 points and the other two players will pay 300 points.

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