Calculation (also known as Broken Intervals, [1] Hopscotch [2] and Four Kings Solitaire [3] ) is a solitaire card game played with a standard pack of 52 cards. [4] It is part of the Sir Tommy family of patience games. It has its origin in France, where it is known as La Plus Belle. [5]
It offers more scope for skill than many similar games; a skilled player can win Calculation more than 80% of the time when "normal play" can allow winning 1 in 5 times. [6] Good strategy typically sees players use 6s, 8s, and Queens early and 10s, Jacks, and Kings later; clever placement of cards in the waste is also critical, with some players reserving one waste pile for the Kings. [7] Every game of Calculation Solitaire is winnable.[ citation needed ] The key is to focus on putting cards in the 'waste piles' in reverse order.
At the start of play, an ace, two, three, and four of any suit are removed from a standard deck of cards and laid out as the foundations. [8] The ace foundation is to be built up in sequence until the king is reached, regardless of suit. The other foundations are similarly built up, but by twos, threes, and fours, respectively, until they each reach a king, as in the following table:
Foundation | A | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | J | Q | K |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2 | 4 | 6 | 8 | 10 | Q | A | 3 | 5 | 7 | 9 | J | K | |
3 | 6 | 9 | Q | 2 | 5 | 8 | J | A | 4 | 7 | 10 | K | |
4 | 8 | Q | 3 | 7 | J | 2 | 6 | 10 | A | 5 | 9 | K | |
The tableau, initially empty, consists of four piles of cards, usually arranged immediately below the four foundations.
Play in Calculation is simple. A single card is turned up from the stock and played either to the top of any of the four tableau piles, or onto one of the foundations if desired. The top card of any tableau pile may also be played onto one of the foundation piles if it is the next number in the appropriate sequence for that foundation. The game is won when all cards have been played onto the foundations, and lost when no further play is possible.
As a variation, cards may be played from the stock to a waste pile which holds one card, and played from there to a foundation or tableau, instead of being played from the stock to a foundation or tableau as soon as they are turned over.
Variations which make Calculation more difficult are to play all 52 cards without the starting A,2,3,4 on the foundations, or to use only three instead of four tableau piles. Playing with both these variations makes the game quite difficult, but a very skilled player will still be able to win at least two games out of three.
Devil's Grip is a broadly related game with similar game-play to Calculation, using two-decks stripped of the Aces, [9] and playing cards to a 3x8 grid where cards increase by three in rank. [10] [11]
Musical is a related game in which cards are played from the stock to a single pile, but in which the stock contains 44 cards rather than 48, and in which the stock can be dealt three times.
One234 is a Calculation style game with completely open information but a low probability of success; it begins with a tableau of 8 columns with 6 cards each laid out face-up at the start of the game. Closely related to One234 is its easier variant Appreciate.
Klondike, also known as Canfield, is a card game for one player and the best known and most popular version of the patience or solitaire family, something which "defies explanation" as it has one of the lowest rates of success of any such game. Partly because of that, it has spawned numerous variants including Batsford, Easthaven, King Albert, Thumb and Pouch, Somerset or Usk and Whitehead, as well as the American variants of the games, Agnes and Westcliff. The distinguishing feature of all variants is a triangular layout of the tableau, building in ascending sequence and packing in descending order.
Spider is a type of patience game, and is one of the more popular two-deck solitaire games. The game originates in 1949, and its name comes from a spider's eight legs, referencing the eight foundation piles that must be filled to win the game.
Gargantua is a patience or solitaire card game that is a version of Klondike using two decks. It is also known as Double Klondike and as Jumbo.
Napoleon at St Helena is a 2-deck patience or solitaire card game for one player. It is quite difficult to win, and luck-of-the-draw is a significant factor. The Emperor Napoleon often played patience during his final exile to the island of St Helena, and this is said to be the version he probably played. Along with its variants, it is one of the most popular two-deck patiences or solitaires. The winning chances have been estimated as 1 in 10 games, with success typically dependent on the player's ability to clear one or more columns. The game is the progenitor of a large family of similar games, mostly with variations designed to make it easier to get out.
Canfield (US) or Demon (UK) is a patience or solitaire card game with a very low probability of winning. It is an English game first called Demon Patience and described as "the best game for one pack that has yet been invented". It was popularised in the United States in the early 20th century as a result of a story that casino owner Richard A. Canfield had turned it into a gambling game, although it may actually have been Klondike and not Demon that was played at his casino. As a result it became known as Canfield in the United States, while continuing to be called Demon Patience in the United Kingdom and elsewhere. It is closely related to Klondike, and is one of the most popular games of its type.
Beleaguered Castle is a patience or solitaire card game played with a deck of 52 playing cards. It is sometimes described as "Freecell without cells" because its game play is somewhat akin to the popular solitaire computer game of that name but without extra empty spaces to maneuver. Beleaguered Castle is also called Laying Siege and Sham Battle.
British Square is a patience or solitaire card game which uses two decks of 52 playing cards each. It is a fan-type game in the style of La Belle Lucie. It has an unusual feature of switchback building whereby each foundation is first built up and then built down.
Sir Tommy, also called Old Patience, is a patience or solitaire card game using a single pack of 52 playing cards. It is said to be the ancestor of all patiences, hence its alternative title. It is a half-open, planner type of patience game in the same family of card-building games as Calculation and Strategy. It is also known as Try Again and Numerica.
Intelligence is a Patience game which uses two decks of playing cards mixed together. It is basically a two-deck version of another solitaire game, La Belle Lucie, and its game play is somewhat closer to the parent game than its cousins House in the Wood and House on the Hill. As the name suggests, with intelligent play good players should be able to win about half of their games.
Big Ben is a patience or card solitaire which uses two decks of playing cards mixed together. It is named after Big Ben, the nickname of the clock tower of the Palace of Westminster in London.
Duchess or Glenwood is a patience or solitaire card game which uses a deck of 52 playing cards. It has all four typical features of a traditional patience or solitaire game: a tableau, a reserve, a stock or talon and a wastepile. It is relatively easy to get out. It is a reserved packer, the same type of game as Canfield or Demon. Arnold describes it as "an interesting game with a fair chance of a favourable outcome."
Colorado is a solitaire card game which is played using two decks of playing cards. It is a game of card building which belongs to the same family as games like Sir Tommy, Strategy, and Calculation. It is considered an easy game with 80% odds of being completed successfully.
Emperor is an English patience or solitaire card game which is played using two packs of playing cards. Although similar to other members of the large Napoleon at St Helena family, Emperor introduced the unique and distinguishing feature of worrying back as well as the novel term "sealed packet".
Napoleon's Square is a patience or solitaire card game which uses two decks of playing cards. First described in a revised edition of Lady Cadogan's Illustrated Games of Patience or Solitaire in the early 1900s, it is an easy variation of Napoleon at St Helena. It is not determined if Napoleon actually played this game, or any solitaire game named after him.
Leoni's Own is a 19th century American card solitaire played with two decks of playing cards shuffled together. This game may have come from Austria, takes approximately 20 minutes and is described as medium regarding difficulty and also uses an ingenious method called weaving. It is often confused by card game book writers with Weaver's which has a similar mode of play but different rules and terminology.
Duchess of Luynes is a patience or card solitaire game played with two packs of playing cards. It is a member of the Sir Tommy family. A unique feature of this game is the building of the reserve, which is not used until the entire stock runs out.
Imaginary Thirteen is a solitaire card game which is played with two decks of playing cards. Its gameplay makes it a two-deck version of Calculation and its name is taken from the fact that when a sum is over thirteen, thirteen is subtracted to get the value of the next card, with spot cards worth their face value, jacks eleven, queens twelve, and kings thirteen.
Jubilee is the name given to two solitaire card games, both played with two decks of playing cards. Both games are so-called because they were created during the time of the Golden Jubilee of Queen Victoria in 1887. One of the games has an ornate layout, while the other is simpler and it belongs to the family of games which include Sir Tommy, Strategy, and Calculation.
Algerian or Algerian Patience is a unique and difficult patience or card solitaire using two decks of playing cards. The object of the game is to build 8 foundations down from King to Ace or up from Ace to King in suit.
Aces and Kings is a challenging and original solitaire game using two decks of playing cards, and was created by Thomas Warfield. The object of the game is to build 8 foundations down from King to Ace or up from Ace to King without regard to suit.