Mastermind, Break The Hidden Code
Board games involve a number of participants, studies conducted by social scientists show that they help in the development of interpersonal intelligence skills as well. The reason for such is the fact that the games involve competition - and collaboration at certain times. As a result, they help the person understand and interact with others more effectively. Common features of games include uncertainty of outcome, agreed upon rules, competition, separate place and time, elements of fiction, elements of chance, prescribed goals and personal enjoyment. Early board games represented a battle between two armies, and most modern board games are still based on defeating opposing players in terms of counters, winning position, or accrual of points (often expressed as in-game currency). A 2012 article in The Guardian described board games as "making a come back". Another from 2014 gave an estimate that put the growth of board game market at "between 25% and 40% annually" since 2010, and described the current time as the "golden era for board games". Much research has been carried out on chess, in part because many tournament players are publicly ranked in national and international lists, which makes it possible to compare their levels of expertise. Playing board games has also been tied to improving children's executive skills. It helps one and all in improving their respective Decision making skills. The adults tend to relate the board games to tedious Project management decisions as well!
Mastermind is similar to a game that was popular hundreds of years ago which was named as Bull and Cows. It involves two players who are involved in deciphering the so-called codes of each other. It was invented in the year 1970 by an Israeli telecommunication expert named Mordecai Meirowitz. He was an acting postmaster too! His idea was at first turned down by many of the leading toy companies, but he persisted, and took it to the International Toy Fair at Nuremberg in February 1971. Released in 1971, the game sold over 50 million sets in 80 countries, making it the most successful new game of the 1970s. It has received awards like Game of the year (1973), Design Center Award and Queen's Award for Export Achievement.
Something about this game caught the imagination of the public, and it became the most successful new game of the 1970's. The game is played using: a decoding board, with a shield at one end covering a row of four large holes, and twelve (or ten, or eight, or six) additional rows containing four large holes next to a set of four small holes; code pegs of six (or more; see Variations below) different colors, with round heads, which will be placed in the large holes on the board; and key pegs, some colored black, some white, which are flat-headed and smaller than the code pegs; they will be placed in the small holes on the board. In 1993, Kenji Koyama and Tony W. Lai calculated that the best strategy uses an average of 5625/1296 = 4.340 moves.
The two players decide in advance how many games they will play, which must be an even number. One player becomes the code-maker, the other the code-breaker. The code-maker chooses a pattern of four code pegs. Duplicates are allowed, so the player could even choose four code pegs of the same color. The chosen pattern is placed in the four holes covered by the shield, visible to the code-maker but not to the code-breaker. The code-breaker may have a very hard time finding out the code.
The code-breaker tries to guess the pattern, in both order and color, within twelve (or ten, or eight) turns. Each guess is made by placing a row of code pegs on the decoding board. Once placed, the code-maker provides feedback by placing from zero to four key pegs in the small holes of the row with the guess. A colored or black key peg is placed for each code peg from the guess which is correct in both color and position. A white key peg indicates the existence of a correct color code peg placed in the wrong position.
There may be an instance when there are similar colors in the predication laid down the Code-breaker and it is not feasible to grant a key peg to all of them unless they match the exact number of similar color in the hidden code. Now, if the hidden code is A-A-B-B and the Code-breaker indicates B-B-B-A, the other player ought to grant two colored key pegs for the correct A, nothing for the third A and finally, a colored key peg for the last B. This ensure, that the suspense is kept alive, hiding the fact that the code has a second B in it! Here A and B represent colors that might be used in the table board.
Once feedback is provided, another guess is made; guesses and feedback continue to alternate until either the code-breaker guesses correctly, or twelve (or ten, or eight) incorrect guesses are made. The code-maker gets one point for each guess a code-breaker makes. An extra point is earned by the code-maker if the code-breaker doesn't guess the pattern exactly in the last guess. (An alternative is to score based on the number of colored key pegs placed.) The winner is the one who has the most points after the agreed-upon number of games are played.
In November 2004, Michiel de Bondt proved that solving a Mastermind board is an NP-complete problem when played with n pegs per row and two colors, by showing how to represent any one-in-three 3SAT problem in it. He also showed the same for Consistent Mastermind. Varying the number of colors and the number of holes results in a spectrum of Mastermind games of different levels of difficulty. Another common variation is to support different numbers of players taking on the roles of code-maker and code-breaker. Few of its varied varieties are Word mastermind (1975), Number Mastermind (1975) and Incicta (1977).
The trouble level of any of the above can be expanded by treating "vacant" as an extra color or diminished by obliging just that the code's hues be speculated, autonomous of position. Mastermind can also be played with paper and pencil. There is a numeral variety of the Mastermind in which a 4-digit number is guessed. Digital versions have recently overshadowed the board variety as most of the youth spends their free time online!
Mastermind is similar to a game that was popular hundreds of years ago which was named as Bull and Cows. It involves two players who are involved in deciphering the so-called codes of each other. It was invented in the year 1970 by an Israeli telecommunication expert named Mordecai Meirowitz. He was an acting postmaster too! His idea was at first turned down by many of the leading toy companies, but he persisted, and took it to the International Toy Fair at Nuremberg in February 1971. Released in 1971, the game sold over 50 million sets in 80 countries, making it the most successful new game of the 1970s. It has received awards like Game of the year (1973), Design Center Award and Queen's Award for Export Achievement.
Something about this game caught the imagination of the public, and it became the most successful new game of the 1970's. The game is played using: a decoding board, with a shield at one end covering a row of four large holes, and twelve (or ten, or eight, or six) additional rows containing four large holes next to a set of four small holes; code pegs of six (or more; see Variations below) different colors, with round heads, which will be placed in the large holes on the board; and key pegs, some colored black, some white, which are flat-headed and smaller than the code pegs; they will be placed in the small holes on the board. In 1993, Kenji Koyama and Tony W. Lai calculated that the best strategy uses an average of 5625/1296 = 4.340 moves.
The two players decide in advance how many games they will play, which must be an even number. One player becomes the code-maker, the other the code-breaker. The code-maker chooses a pattern of four code pegs. Duplicates are allowed, so the player could even choose four code pegs of the same color. The chosen pattern is placed in the four holes covered by the shield, visible to the code-maker but not to the code-breaker. The code-breaker may have a very hard time finding out the code.
The code-breaker tries to guess the pattern, in both order and color, within twelve (or ten, or eight) turns. Each guess is made by placing a row of code pegs on the decoding board. Once placed, the code-maker provides feedback by placing from zero to four key pegs in the small holes of the row with the guess. A colored or black key peg is placed for each code peg from the guess which is correct in both color and position. A white key peg indicates the existence of a correct color code peg placed in the wrong position.
There may be an instance when there are similar colors in the predication laid down the Code-breaker and it is not feasible to grant a key peg to all of them unless they match the exact number of similar color in the hidden code. Now, if the hidden code is A-A-B-B and the Code-breaker indicates B-B-B-A, the other player ought to grant two colored key pegs for the correct A, nothing for the third A and finally, a colored key peg for the last B. This ensure, that the suspense is kept alive, hiding the fact that the code has a second B in it! Here A and B represent colors that might be used in the table board.
Once feedback is provided, another guess is made; guesses and feedback continue to alternate until either the code-breaker guesses correctly, or twelve (or ten, or eight) incorrect guesses are made. The code-maker gets one point for each guess a code-breaker makes. An extra point is earned by the code-maker if the code-breaker doesn't guess the pattern exactly in the last guess. (An alternative is to score based on the number of colored key pegs placed.) The winner is the one who has the most points after the agreed-upon number of games are played.
In November 2004, Michiel de Bondt proved that solving a Mastermind board is an NP-complete problem when played with n pegs per row and two colors, by showing how to represent any one-in-three 3SAT problem in it. He also showed the same for Consistent Mastermind. Varying the number of colors and the number of holes results in a spectrum of Mastermind games of different levels of difficulty. Another common variation is to support different numbers of players taking on the roles of code-maker and code-breaker. Few of its varied varieties are Word mastermind (1975), Number Mastermind (1975) and Incicta (1977).
The trouble level of any of the above can be expanded by treating "vacant" as an extra color or diminished by obliging just that the code's hues be speculated, autonomous of position. Mastermind can also be played with paper and pencil. There is a numeral variety of the Mastermind in which a 4-digit number is guessed. Digital versions have recently overshadowed the board variety as most of the youth spends their free time online!
About the Author:
Cheryll Tefera is an online gaming enthusiast. She loves working with gamers to help them get better in strategizing their moves. Cheryll believes that it is imperative not to share any personal information in online gaming world. If you are looking for Best Online Board Game she recommends you check out www.letsplayriskonline.com.
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