CN1133195A - Playing card for Bagua (Eight Diagrams) chess game - Google Patents

Abstract

The present invention relates to Eight diagrams weiqi (go) and Eight Diagrams, bridge. The former uses the peculiar and inherebent changing law of the Eight Diagrams' symble system as the symbles of the pieces and the connection rule to make weiqi develop from plane (two dimension) to multi-dimension space, thus the situation of playing weiqi is more complex and the interest is more great. The Eight Diagrams bridge also uses the Eight Diagrams' symbles as the symbles of the playing cards to make the variation of bridge playing method be more rich and varied.

Description

Playing card for Bagua (Eight Diagrams) chess

" Eight Diagrams go " and " eight Diagrams bridge " all are the intelligence apparatus for entertainment that the inherent Changing Pattern according to Eight Diagrams symbol in the "The Book of Changes" invents, so be collectively referred to as " playing card for Bagua (Eight Diagrams) chess ".

" Eight Diagrams go " is with a kind of novel unique intelligence apparatus for entertainment of Eight Diagrams symbol as chess piece, and it is to improve on the basis of common go and development and a kind of modern go that comes.

Common go generally is made up of chess piece and chessboard.Chess piece divides and deceives, white dichromatism, generally is shaped as oblateness, and wherein black mole is 181,180 of white chessmans.Chessboard is the square grids that formed by the straightway square crossing that 19 intervals in length and breadth equate, chessboard has 361 crosspoints (19 * 19=361).Chess piece is walked on the crosspoint.Tightly be called " gas " of chess piece in link to each other and crosspoint that do not let slip chess piece with the chess piece upper and lower, left and right, do not have the chess piece of " gas " from chessboard, " to carry " immediately.Black, the Bai Liangfang that play chess, which side shared crosspoint is many, and which side is the winner.

According to the composition of common go, it has following shortcoming:

1, chess piece dullness.Chess piece divides and deceives, white dichromatism, and is all identical with each chess piece of a kind of color, without any difference (function that is each chess piece is all identical with effect).Therefore, the function of chess piece is also just dull, and it is not as Chinese chess, and each chess piece all embodies different effects.So playing Weiqi still lacks certain flexibility.

2, common go concatenate rule is simple.Even if connected as long as same side's chess piece abuts against together, the few of concatenate rule that can follow.Obviously, such go meeting seems flat weary tasteless.

So, in order to overcome the shortcoming of common go, increase the complexity and the interest of go, must improve and replenish common stone and concatenate rule thereof.Adopting Eight Diagrams symbolism is one of best approach that overcomes the above problems as the symbol of stone.

Eight Diagrams symbol is the symbolism in China's ancient book "The Book of Changes", and it is a cover fuzzy symbolisms the most abstractively summarizing and describe of China ancients to nature and human society phenomenon and Changing Pattern thereof, is wherein containing abundant and deep implication.

Eight Diagrams symbol is made up of cloudy line in the Eight Diagrams "---" and positive line in the Eight Diagrams "---".Cloudy line in the Eight Diagrams "---" is equivalent to the binary digit " 0 " in the mathematics, and positive line in the Eight Diagrams is equivalent to binary number " 1 ".Eight Diagrams symbol comes down to a kind of binary counting symbol.Eight Diagrams (claiming single divinatory symbol again) symbol is made up of three line in the Eight Diagrams positions, forms eight different single divinatory symbol symbols altogether, and their sequence number, title, symbol are as follows:

The serial number name symbol

0 is female

1 shake

2 banks

3 convert

4 is blunt

5 from

6 xun, one of the Eight Diagrams

7 universes Sequence number is that the binary number with Eight Diagrams symbol correspondence converts decimal numeral number to, is 110 as the binary number of xun, one of the Eight Diagrams divinatory symbol (---), and changing decimal number into is 6.Simultaneously, eight Eight Diagrams symbols are again to represent octal number, and their sequence number is exactly eight numerals of 0～7 in the octal system.

Heavy divinatory symbol be by eight single divinatory symbol in twos, overlapping forming up and down, each divinatory symbol has six line in the Eight Diagrams, numbering from top to bottom (claiming the line in the Eight Diagrams position again) be first line in the Eight Diagrams, second line in the Eight Diagrams ..., the 6th line in the Eight Diagrams, wherein first line in the Eight Diagrams is called " first line in the Eight Diagrams " again, the 6th line in the Eight Diagrams be called again " on " line in the Eight Diagrams.Heavy divinatory symbol have 64 divinatory symbol, and they are six binary characters of decimal number 0～63 correspondence, and its sequence number, title, symbol are seen figure two.

In each heavy divinatory symbol, take out three continuous line in the Eight Diagrams positions arbitrarily and can form single divinatory symbol again, be referred to as " sub-divinatory symbol ".Heavy divinatory symbol comprise four sub-divinatory symbol, and their line in the Eight Diagrams position is respectively 123 line in the Eight Diagrams, 234 line in the Eight Diagrams, 345 line in the Eight Diagrams, 456 line in the Eight Diagrams.As " joint " divinatory symbol (

), take out 123 line in the Eight Diagrams form " converting " (

), get 234 line in the Eight Diagrams form " shake " ( ), get 345 line in the Eight Diagrams form " blunt " ( ), get 456 line in the Eight Diagrams form " bank " (

), see figure ten:

Sub-divinatory symbol are numbered from bottom to top and are respectively first, two, three, four, and the numbering of sub-divinatory symbol is called " connecting the position " again.

Sub-divinatory symbol title in each heavy divinatory symbol is write on the left side of this divinatory symbol symbol from top to bottom, and the sequence number of heavy divinatory symbol writes on the lower right corner, and the divinatory symbol name writes on the upper right corner, and then the information that comprised of each heavy divinatory symbol has just been understood.Sequence number according to 64 divinatory symbol is arranged according to 8 * 8 square formations from small to large, and then the inherent arrangement regulation of sub-divinatory symbol has just presented.Can find out that from figure two each seed divinatory symbol is in the distribution situation on the different connection positions: on the connection position in appointment, the heavy divinatory symbol with identical sub-divinatory symbol all have eight.

Single divinatory symbol and heavy divinatory symbol are a kind of binary characters, and its inherent Changing Pattern is to change owing to increasing progressively successively of binary counting presents clocklike; The regularity of distribution of sub-divinatory symbol then changes according to increasing progressively of octal representation.

According to Eight Diagrams and the inherence distribution of heavy divinatory symbol and the concatenate rule that Changing Pattern is worked out Eight Diagrams go, will chess piece can effectively be connected according to certain concatenate rule.

Description of drawings is as follows:

Figure one: Eight Diagrams chessboard of go

Figure two: Eight Diagrams go and eight Diagrams bridge symbol and sub-divinatory symbol distribution map

Figure three: four kinds of forms of Eight Diagrams go chess piece symbol

Figure four: go concatenate rule example (horizontal connecing)

Figure five: go concatenate rule example (vertical joint)

Figure ten: the composition of Eight Diagrams symbol

Eight Diagrams go is molecular by the chessboard draw in chess.

One, chessboard: the square grids that the line segment square crossing that it is equated by 17 intervals in length and breadth forms, (17 * 17=289), chess piece is walked on the crosspoint to have 289 crosspoints.The crosspoint number that each side on average occupies is 144 .See figure one.

Two, chess piece: the symbol of chess piece is made up of single divinatory symbol or heavy divinatory symbol symbol, divides black, white dichromatism.The chess piece of each color is made up of eight single divinatory symbol and 64 heavy divinatory symbol two times, promptly (8+64) * 2=144.Each is paid chess piece (comprising black, white dichromatism) and has 288 chess pieces.See figure two.

Because symbol, sub-divinatory symbol title and the sequence number of chess piece have one-to-one relationship, so the also available corresponding symbol of chess piece represents that they are called " character type ", " character type ", " numeric type ", " mixed type ".See figure three.

Playing Weiqi couples together one's own side's chess piece, and surround the domain exactly, forms at least two mouthfuls " gas " and survives, simultaneously the other side's chess piece is surrounded and " eating " fall, so the connection of stone must be followed certain rule.

One, the horizontal rule that connects:

Join about adjacent two chess pieces and be called horizontal connecing.The horizontal condition that connects is: on the straight line of chessboard, horizontal all chess pieces that connect must have identical sub-divinatory symbol on a connection position of appointment.If horizontal adjacent two chess pieces that connect do not have identical sub-divinatory symbol on selected connection position, these two chess pieces disconnect, and the chess piece of disconnection itself just lacks " gas " flatly, is easy to " be eaten " by the other side.

Single divinatory symbol can connect on the position at any one and be connected with the heavy divinatory symbol that have with the name divinatory symbol.See figure four.

Because heavy divinatory symbol have four and connect the position, each bar connects the position can select eight seed divinatory symbol again, so can select 4 * 8=32 kind mode laterally to connect on a direction.

Two, vertical joint rule:

The following divinatory symbol of a chess piece and the last divinatory symbol of another chess piece join and are called vertical joint.The condition of vertical joint is: the upper and lower sub-divinatory symbol of vertical joint must be to have identical sub-divinatory symbol.Otherwise disconnect.

Single divinatory symbol both can be used as divinatory symbol, can be used as down divinatory symbol again and vertically were connected with adjacent chess piece.See figure five.

On the vertical joint direction, because last divinatory symbol or following divinatory symbol have eight seed divinatory symbol, so there are eight kinds of modes vertically to connect.

Stipulated after the concatenate rule of go that the characteristic of each chess piece is exactly the sub-divinatory symbol that it has.The connection of a chess piece is developed into the connection of ten directions of the hyperspace of Eight Diagrams go by the connection of plane (two dimension) four direction of common go, and 40 kinds of selectable connected modes are arranged.Because Eight Diagrams stone itself has the connected mode of hyperspace, this has increased complexity and interest for undoubtedly both sides.

The process of playing chess of Eight Diagrams go is as follows:

1, plays chess.Two people play a game, and respectively hold chess piece of the same colour.Black gets ahead first on chessboard, white then side down second, and everyone each next son, one after the other is until end.Horizontal connecing or the rule of vertical joint should be met from the connection of the chess piece of side, chess piece mustn't be moved once more behind the following son.

2, the life or death of chess piece.One of one side or be connected to " gas " that the chess piece of a slice must have more than two mouthfuls or two mouthfuls simultaneously and could survive, otherwise, from chessboard, " carried " (eating up) by the other side.The chess piece of being eaten up can not reuse in local exchange.One's own side can not carry the chess piece of oneself.

3, rob.When the Party A beat " misfortune ", because of Party A's chess piece has only " gas " flatly, the Party B mustn't the counter immediately chess piece of carrying the Party A.If the Party B wants to carry this chess piece of the other side, the Party B must locate away a game of chess (be called and seek misfortune) at another earlier, and when the Party A had to play chess elsewhere, the Party B just can carry the other side's chess piece.Certainly, the Party A also can not should rob and sticking the misfortune.

4, end.Black on the chessboard, white both sides the live boundary line of chess all draw a clear, both sides' chess piece intersection none blank crosspoint just, and both sides think that s.m.p can descend the end of also having arrived.

5, victory or defeat.After the end, both sides' chess alive shared crosspoint number on chessboard has also just been determined, accounts for the person more and wins, and does not account for the person less and bears.Chessboard has 289 crosspoints, and the radix that each side should occupy is 144 , and chess piece is the winner more than the side of 144 , and a side who is less than 144  is losing side, and both sides occupy the 144  period of the day from 11 p.m. to 1 a.m and are " draw in chess ".

Generally speaking, black is moved earlier, occupies advantage on the offensive, and after the end, black calculates victory or defeat after will being given to white square gauge fixed number purpose chess piece again.In addition, calculate victory or defeat again after allowing sub-way to get there black also should be given to the chess piece of white side's specified number or amount earlier, all 144  that surpass are the winner.

It more than is the concise and to the point process of playing chess.Eight Diagrams go is as a kind of new-type go, and it still abides by the principle of generality of go and the method for playing chess, as the layout fixed pattern, and mid-game tactics, final quotation showdown skill etc.But because Eight Diagrams go, it has its particularity again.The connection of chess piece must be carried out correctly and effectively connecting according to special concatenate rule, and this just requires the person of playing chess must be neatly according to the kind of chess piece and limited quantity, and the dimension of planning strategies for tent is held the overall situation, and reasonable distribution chess power is gained mastery over the enemy with skill in playing chess free from worldly cares.

By playing Eight Diagrams go, can temper and improve a people's intelligence and synthetic thinking analysis ability.

" eight Diagrams bridge " is a kind of intelligence apparatus for entertainment of creating out according to the inherent Changing Pattern of Eight Diagrams symbolism in the "The Book of Changes" (comprising single divinatory symbol and heavy divinatory symbol), and its play and common bridge have certain similitude.

Common bridge is to be made by the playing cards that are referred to as " playing card ", it by spade ( ), heart (

), square (

), the showy flowers of herbaceous plants ( ) four kinds of patterns form, each pattern has 13 boards, and 1,2,3,4,5,6,7,8,9,10, J, Q, K, A their symbol and size order are:, one pair of board has 52 (4 * 13=52) boards; Common bridge is played a game by thing, two couples of players in north and south (4 people), divides attacker and defender, everyone send out 13 boards.The victory or defeat of bridge mainly is that the pier number that wins in the process of playing card by both party determines.The process of playing card of bridge is divided into two stages of bidding and play card, and bidding mainly is in order to determine which side player as the attacker, and determines " conclude a contract or treaty number " and " trump card ".Conclude a contract or treaty that number+6 is the pier number that the attacker will finish (winning).In each pair board, all attackers finish or overfulfil when concludeing a contract or treaty task, can obtain win to divide (the basic branch) and prize branch, do not finish to conclude a contract or treaty task, and then by point penalty, point penalty is returned defender's gained.Win divides, prize divides, point penalty all has unified regulation.Generally playing card, always will accomplish fluently several pairs of boards, is the winner with the high person of total points at last, and the low person of total points is a losing side.

By the common bridge that 52 boards are formed, because pattern is few, card is also few, and its play variation pattern is also less comparatively speaking, so the complexity and the interest of common bridge have also reduced.For complexity and the interest that improves bridge, as the symbol of bridge the good method that solves common bridge shortcoming with Eight Diagrams symbol.

" eight Diagrams bridge " is that as the playing cards of bridge symbol, its board face is made up of the symbol of eight single divinatory symbol and 64 heavy divinatory symbol, amounts to 72 boards, sees figure two with Eight Diagrams symbol (comprising single divinatory symbol and heavy divinatory symbol).Heavy divinatory symbol contain four sub-divinatory symbol (having marked in the left side of divinatory symbol symbol), can find out that from figure two on identical connection position, the heavy divinatory symbol that have with the name divinatory symbol all have eight, and this is the mathematical law of eight Diagrams bridge institute foundation.Play card for convenience, go back the upper left corner and the lower right corner that bundle divinatory symbol title writes on playing cards simultaneously, see figure six.

Eight Diagrams bridge also is to be played card by thing and the two couples of players in north and south, and everyone gets 18 boards.The pattern of eight Diagrams bridge is exactly " Eight Diagrams ", they be " female ", " shake ", " bank ", " converting ", " blunt ", " from ", " xun, one of the Eight Diagrams ", " universe ".Simultaneously, relatively big or small between the pattern, the size of pattern (progression) regulation is as follows:

Female＜shake＜bank＜as to convert＜blunt＜from＜xun, one of the Eight Diagrams＜universe.

Single divinatory symbol greater than with the name divinatory symbol less than the high one-level pattern of these sub-divinatory symbol.

For example: (bank) son (bank) list＜convert.Description of drawings:

Figure six: eight Diagrams bridge card example

Figure seven: eight Diagrams bridge is won branch, point penalty (the basic branch) table

Figure eight: eight Diagrams bridge is finished and is concludeed a contract or treaty the prize submeter

Figure nine: eight Diagrams bridge is overfulfiled and is concludeed a contract or treaty the prize submeter

The process of playing card is as follows:

1, deal out the cards:

Shuffle, cut after the board, begin to deal out the cards along inserting needle from endhand's left, everyone sends out one at every turn, gives successively in turn, till distributing.East, West, South, North side each 18 boards.

2, bid:

Bid is in order to determine attacker and banker, trump card and to conclude a contract or treaty number.Generally should strive with the long suit in the own hand as trump card.Connect on the position at a certain, each pattern all has eight.

Conclude a contract or treaty number for natural numbers, open from 1 and cry, the highlyest conclude a contract or treaty that number is 10, conclude a contract or treaty that several+8 are the pier number that the attacker will finish.When bidding, must tell simultaneously conclude a contract or treaty the number and pattern.Count in identical concludeing a contract or treaty, major suit covered minor, and no-trump covered all patterns; High-order conclude a contract or treaty the number on any pattern covered low order conclude a contract or treaty the number on any pattern and no-trump.So the order of bidding is as follows: 1 female＜1 shake＜1 bank＜1 converts＜1 blunt＜1 is female from＜1 xun, one of the Eight Diagrams＜1 universe＜1 no-trump＜2＜2 shake＜2 banks＜2 convert＜2 blunt＜2 are female from＜2 xun, one of the Eight Diagrams＜2 universes＜2 no-trumps＜3＜3 shake＜3 banks＜3 convert＜3 blunt＜3 from＜3 xun, one of the Eight Diagrams＜3 universes＜3 no-trumps＜... ... ... ... ... ... ... ... ... ..＜10 are female＜10 shake＜10 banks＜10 convert＜10 blunt＜10 are from＜10 xun, one of the Eight Diagrams＜10 universes＜10 no-trumps.When bidding, the board power of being cried is greater than last family, also can not cry, and perhaps bypasses the immediate leadership and jump bids, and perhaps doubles, and redoublings, and the person that do not bid at last becomes banker (being the attacker), and the pattern that banker cried is a trump card, and is specified the connection position at trump card place by banker.One pair of board has only eight trump cards at every turn, and any trump card is all greater than any one card of other pattern.Below be an auction:

East northeast Nan Xi

1 female 1 bank, 1 xun, one of the Eight Diagrams, 1 no-trump

2 from 3 banks, 3 xun, one of the Eight Diagrams, 3 universes

4 Xun5Kan *--

==(annotates:--representative is not named, and * representative doubles, * * representative redoublings ,==the representative end of bidding.)

More than bid, determined to conclude a contract or treaty that at last number is 5 that master is the person of concludeing a contract or treaty (banker) by master, the west is bright hand, and thing is the attacker, and the South and the North is the defender, and the pier number that should finish between east and west is 13 piers (5+8=13).Specify the connection position of trump card by master, specify " bank " on the 3rd as trump card as master, note is made " 3 bank ".Bidding is the significant process of playing a bridge game, and it provides important information for both sides, to playing card the generation material impact.

3, play card:

Bid after the end, one side head attacks by the banker left hand, and bright then handgrip board is spread out on the desktop, play the board of bright hand by banker, other people with playing a card, go out one with clockwise order at every turn, compare board power size then, the side that board power is big wins this trick, and famous person obtains the power of next time playing a card.Three with the board person should with the go out board that memorial tablet on go out identical suits of the person of playing a card in appointment.

The principle of playing a card is: specify the connection position (being called " going out memorial tablet ") of playing a card by the person of playing a card, and specify in the relatively size of board power of another connection position (being called " relatively position " again), remember and make " a pattern b " that this is the characteristics of playing a card of eight Diagrams bridge.Memorial tablet can be regarded as in single divinatory symbol all is identical sub-divinatory symbol with comparing the position.As play a card and be that " 2 convert 3 ", the meaning are to go out " converting " pattern on two, pattern size relatively on the 3rd, on the 3rd, all pattern sopranos win this trick, and obtain the right of next time playing a card.If in the board person board two, do not have " converting " pattern, other board in the hand of can sluffing arbitrarily; Or will kill with trump card, win this trick, obtain the power of next time playing a card.Go down so repeatedly, till having gone out 18 boards.

So, the person of playing a card is always with the position of board power as a comparison, the connection position at the big pattern place in the own hand, simultaneously, the connection position of playing a card by appointment forces the opposing party have to discard a certain big shot that connects on the position in the board, thereby make the plate in the own hand become big shot, and then can win trick again in a certain connection position.Therefore, the connection position of eight Diagrams bridge resembles four " bridges ", and the both sides that play card are constantly by " bridging " and " tearing bridge open ", with flexibly, calculate accurately, strives obtaining the triumph of this pair board.

4, victory or defeat:

The pier number that this wins in playing card is depended in the victory or defeat of one pair of board.If the attacker finishes or overfulfils and conclude a contract or treaty that pier number, attacker can be won branch and prize divides; If the attacker does not finish and concludes a contract or treaty the pier number, then sentenced point penalty, point penalty is charged in defender's the mark; If double in concludeing a contract or treaty or redoubling, then prize divides and point penalty all will double or redoubling.

For example, between east and westly conclude a contract or treaty that number is 5, win 13 piers or more than 13 piers, promptly finish the work, can obtain to win and divide and prize divides, if only win 10 piers, few 3 piers, mark of being penalized 3 piers between east and west, point penalty is charged in the southern and northern mark.If double in concludeing a contract or treaty or redoubling, prize divides and point penalty all will double or redoubling (promptly multiply by 4 times).Win divides (the basic branch), prize branch, point penalty that unified regulation is all arranged, and sees accompanying drawing seven, accompanying drawing eight, accompanying drawing nine.

General bridge tournament by the laws of the game regulation, need carry out the match of several pairs of boards, is the winner with the high person of total points at last, and the low person of total points is a losing side.

Adopt the eight Diagrams bridge of Eight Diagrams symbol as the bridge symbol, it is compared with common bridge (being called " playing card bridge " again), because its pattern kind is many, card is also many, so the version of playing card is more rich and varied.Especially the symbolism of eight Diagrams bridge is containing special mathematical law, add unique playing mode, make that office's condition of playing card is complicated and wonderful more, this all will play good effect for the operational capability and the thinking analysis ability of cultivating the bridge player, simultaneously, also provide a kind of brand-new recreation for people.

Claims (2)

1, a kind of new-type go that is used for intelligence and recreation, it is characterized in that chess piece adopt Eight Diagrams symbol or and the symbol of version as the symbol of stone.

2, a kind of playing cards that are used for the intelligence recreation is characterized in that, the board face of playing cards adopt Eight Diagrams symbol (comprising single divinatory symbol and heavy divinatory symbol) or and version as the symbol of playing cards.

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