Klondike (solitaire)

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Klondike
A
solitaire family,[2] as well as one of the most challenging in widespread play.[3] 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.[4]

Name

In the U.S. and Canada, it is so well known that the term "Solitaire", in the absence of qualifiers, typically refers to Klondike.[5] Equally in the UK, it is often just known as "Patience".[5] Elsewhere the game is known as American Patience.[6]

Historically Klondike was also called Canfield in America, perhaps because it was a casino game at the

Richard Canfield even though Canfield himself called his game "Klondike".[8]

History

According to Tung (2015), the game may well have been named "Klondike" after the

Demon elsewhere in the world.[11]

In the 1913 edition of the so-called Official Rules of Card Games,[a] Seven-Card Klondike has become Klondike, with the modification that the pack is run through one card at a time instead of three, and the original Klondike is now being called Canfield.[12]

Klondike's inclusion in Microsoft Windows in the 1990s contributed significantly to its current popularity. It is considered the most popular version of solitaire.[13]

Rules

Video demonstration of Klondike

Klondike is played with a standard 52-card deck, without Jokers.

After shuffling, a

tableau
of seven fanned piles of cards is laid from left to right. From left to right, each pile contains one more card than the last. The first and left-most pile contains a single upturned card, the second pile contains two cards, and so forth. The topmost card of each pile is turned face up.

The remaining cards form the stock and are placed facedown at the upper left of the layout.

The four

built down by alternate colors
. Every face-up card in a partial pile, or a complete pile, can be moved, as a unit, to another tableau pile on the basis of its highest card. Any empty piles can be filled with a King, or a pile of cards with a King. The aim of the game is to build up four stacks of cards starting with Ace and ending with King, all of the same suit, on one of the four foundations, at which time the player would have won.

There are different ways of dealing the remainder of the deck from the stock to the

waste
, including the following:

  • Turning three cards at once to the waste, with no limit on passes through the deck.
  • Turning three cards at once to the waste, with three passes through the deck.
  • Turning one card at a time to the waste, with three passes through the deck.
  • Turning one card at a time to the waste with only a single pass through the deck and playing it if possible.
  • Turning one card at a time to the waste, with no limit on passes through the deck.

If the player can no longer make any meaningful moves, the game is considered lost. At this point, winning is impossible.

Probability of winning

A lost game of Thoughtful Klondike (under draw three rules). The stock is shown at the upper-left. The upper section of the Tableau shows downturned cards, and the lower section shows the upturned cards. No cards can be moved except for two pointless moves: 2♥ from foundation to tableau, or 7♠ between tableau piles.
An alternate method for dealing a game of Thoughtful Klondike with physical cards. Across the top in the tableau the downturned cards are dealt sideways to discern them from the upturned cards. The stock is shown at the bottom. Full knowledge of card location allows the player to make informed decisions when multiple moves are possible.

The probability of being able to win a game of Klondike with best-possible play is not known, although Hoyle's Rules of Games suggests the chances of winning as being 1 in 30 games.[14] The inability of theoreticians to precisely calculate these odds has been referred to by mathematician Persi Diaconis as "one of the embarrassments of applied probability".[15] The best information about the winnability of Klondike concerns a modified version of the game called "Thoughtful Solitaire" or "Thoughtful Klondike", in which the location of all 52 cards is known.[16] The probability of winning Thoughtful Klondike (with draw three rules) has been calculated as being approximately 82%, more precisely as having a confidence interval of 81.956% ± 0.096%.[17] Thoughtful Klondike is not quite the same as simply playing with all cards face up, as this would allow an impossible movement of a pile if the top downturned card happened to be in sequence with the upturned card underneath it. Using physical cards, Thoughtful Klondike can be played by peeking at the face-down cards or by dealing the downturned cards face-up but sideways to differentiate them from the tableau piles. With electronic programs Thoughtful Klondike can be played by allowing unlimited use of undos to return to the start if a choice turns out to be unfavorable.

Because the only difference between the two games (regular and thoughtful) is the knowledge of card location, all winnable Thoughtful Klondike games will also be winnable in regular Klondike. The win percentage of 82% for Thoughtful Klondike gives an upper bound of 82% on the win percentage of regular Klondike when the location of all cards is unknown. The true probability with best play might be much smaller, because the difference between a right and wrong move cannot be known in advance whenever more than one move is possible, and some cards are still hidden. Ultimately, very little is known about the winnability of regular Klondike. A Klondike-playing AI using Monte Carlo tree search was able to solve up to 35% of randomly generated regular Klondike games,[18] placing a lower bound on the winnability percentage. One experiment found a skilled player could win 189 out of 442 games (43%),[19] but this gives a discrepancy of almost 40% between regular and Thoughtful Klondike.

Variants

Single deck

Below are some single-pack variants of Klondike:

Gambling variant

In some casinos, Klondike is turned into a gambling game, by playing with the rule of dealing cards one at a time and going through the stock once. For example, a player would pay $50 to play, and the house would pay $5 for each card played to the foundations.[21] This form of Klondike is sometimes called Las Vegas Solitaire.

Joker Solitaire

Joker Solitaire is a variant of Klondike created by Joli Quentin Kansil which adds two jokers that serve as limited wild cards. This adds more skill because players are required to make many calculated decisions.[22]

Double Solitaire

Klondike has been turned into a two-player game under the name Double Solitaire.[23] Players have their own packs and may not play to each other's tableaus but share their foundations. Players take turns until they are unable to play a card from their talons. The first player to play all 52 cards is the winner. Informally, "Double" Solitaire can be played as a party game with more than 2 players.

Computerized versions

Digital versions of Klondike have helped popularize the game and offer advantages over playing with a physical deck. Notable examples of computerized versions include:

  • A software version of Klondike named simply "
    Solitaire" has been a regular inclusion in the Microsoft Windows operating system, beginning from Windows 3.0 in 1990. Initially Microsoft included the game as both a diversion and a teaching tool: for many users, Solitaire was their first introduction to using a computer mouse. Microsoft officials stated in 1994 that "for years, Solitaire was the most-used application for Windows".[24]
  • The
    Atari 8-bit family, simply titled Solitaire, in 1981.[25]
  • Michael A. Casteel's shareware version of Klondike for the Macintosh was first released in 1984, and has been continually updated since.[26]
  • Klondike was added to
    tabletop games.[27]

Scoring in the Microsoft Windows Solitaire version of Klondike is as follows:[28]

Move Points
Waste to Tableau 5
Waste to Foundation 10
Tableau to Foundation 10
Turn over Tableau card 5
Foundation to Tableau −15
Recycle waste when playing by ones −100 (minimum score is 0)

Moving cards directly from the Waste stack to a Foundation scores 10 points. However, if the card is first moved to a Tableau, and then to a Foundation, an extra 5 points are scored making a total of 15. Thus, to score the most points, no cards should be moved directly from the Waste to Foundation.

Time also plays a role, if the 'Timed game' option is selected. In this case, 2 points are deducted every 10 seconds. Bonus points are scored using the formula 700,000 ÷ (seconds to finish), if the game takes at least 30 seconds. If the game takes under 30 seconds, no bonus points are awarded.

See also

  • FreeCell
  • List of solitaires
  • Glossary of solitaire
  • Solitaire

References

  1. ^ a b Arnold (2011), pp. 71–72.
  2. ISBN 1-889752-06-1
  3. ^ Parlett (1979), pp. 94–95.
  4. ^ Coops (1939), p. 10.
  5. ^ a b Parlett 1991, p. 156-157.
  6. ISBN 978-3-99006-001-8
    .
  7. ^ Parlett 1979, p. 94/95.
  8. ISBN 1-85051-221-3
  9. ^ "A brief history of Solitaire, Patience, and other card games for one". TheWeek. 5 June 2015.
  10. ISBN 0064637026
    .
  11. ^ Hoyle's Games (1907), pp. 248–252.
  12. ^ Official Rules of Card Games (1913), p. 225.
  13. ISBN 1-889752-06-1
  14. ISBN 0-451-20484-0
  15. ^ Diaconis, Persi. "Mathematics of Solitaire". Mathematics Department and Graduate School Colloquium Archive 1998-1999. Archived from the original on 16 December 2004. Retrieved 20 December 2021.
  16. ^ "Searching Solitaire in Real Time" (PDF). ICGA Journal. September 2007. Archived (PDF) from the original on 2022-10-09. Retrieved 31 July 2020.
  17. arXiv:1906.12314 [cs.AI
    ].
  18. ^ Bjarnason, Ronald; Fern, Alan; Tadepalli, Prasad (2009). "Lower Bounding Klondike Solitaire with Monte-Carlo Planning". Proceedings of the Nineteenth International Conference on Automated Planning and Scheduling. Archived from the original on 2021-09-24. Retrieved 2021-09-24.
  19. ^ "The Application of Human Monte Carlo to the Chances of Winning Klondike Solitaire". Jupiter Scientific. 2013.
  20. ISBN 0-7624-1381-6
  21. ISBN 1-889752-06-1
  22. ISBN 1-889752-06-1
  23. ISBN 1-889752-06-1
  24. ^ Garreau, Joel (1994-03-09). "Office Minefield". The Washington Post. Retrieved 2021-04-04.
  25. ^ "Solitaire". Atari Mania. Retrieved 31 July 2020.
  26. ^ "A little history". casteel.org. Retrieved 31 July 2020.
  27. ^ "Nintendo Shares A Handy Infographic Featuring All 51 Worldwide Classic Clubhouse Games". Nintendo Life. 25 May 2020. Retrieved 21 July 2020.
  28. ^ Highest Score in Windows Solitaire, Microsoft Help and Support, KB101766.

Notes

  1. ^ As Parlett and others have pointed out, there is no such thing as 'official rules' for card games, except where there is a governing body for a particular game.
  2. ^ But not to be confused with Aces Up which is a different patience, see Parlett and Morehead & Mott-Smith.

Literature

  • Arnold, Peter (2011). Card Games for One. Chambers.
  • Coops, Helen Leslie (1939). 100 Games of Solitaire. Whitman. 128 pp.
  • Geoffrey Mott-Smith
    (2001). The Complete Book of Solitaire and Patience. Foulsham, Slough.
  • ISBN 978-0-7139-1193-0
    .
  • ISBN 0-19-282905-X
    .
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