Klondike (solitaire) explained

Klondike
Subtitle:A patience game
Image Link:GNOME Aisleriot Solitaire (cropped).png
Image Caption:Game setup
Alt Names:Canfield, Solitaire, Patience, Seven up, Sevens
Namedvariants:Agnes (Bernauer), Batsford, Easthaven, King Albert, Thumb and Pouch, Somerset or Usk, American Westcliff
Deck:Single 52-card
Type:Simple packer
Family:Klondike
Odds:1 in 30[1]
Playing Time:10 min

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,[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. Equally in the UK, it is often just known as "Patience". Elsewhere the game is known as American Patience.[5]

Historically Klondike was also called Canfield in America, perhaps because it was a casino game at the Canfield Casino in Saratoga Springs, New York, and this is the name by which it became known in England. Today, however, Canfield is more usually the American name for the patience game called "Demon" in England, which is a different game altogether. Likewise the rumour prevails that this other game was devised by Richard Canfield even though Canfield himself called his game "Klondike".[6]

History

The origins of the name Klondike are unknown; a handful of authors have speculated the name derives from the late 19th-century Klondike Gold Rush, but no material evidence substantiates such a claim.[7] [8] The earliest rules for the game known as Klondike today appear in the 1907 edition of Hoyle's Games under the name "Seven-Card Klondike". Hoyles calls it a simpler version of "Klondike", also described in the same book, but which turns out to be a gambling version of the game nowadays known as Canfield in the US and Demon elsewhere in the world.[9]

In the 1913 edition of the so-called Official Rules of Card Games, 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.[10]

Klondike's inclusion in Microsoft Windows in the 1990s contributed significantly to its current popularity. It is considered the most popular version of solitaire.[11]

Rules

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 foundations (light rectangles in the upper right of the figure) are built up by suit from Ace (low in this game) to King, and the tableau piles can be 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:

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

Probability of winning

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.[12] 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".[13] 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.[14] 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%.[15] 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,[16] placing a lower bound on the winnability percentage. One experiment found a skilled player could win 189 out of 442 games (43%),[17] 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.[19] 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.[20]

Double Solitaire

Klondike has been turned into a two-player game under the name Double Solitaire.[21] 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:

Scoring in the Microsoft Windows Solitaire version of Klondike is as follows:[26]

MovePoints
Waste to Tableau5
Waste to Foundation10
Tableau to Foundation10
Turn over Tableau card5
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

Literature

Notes and References

  1. Arnold (2011), pp. 71–72.
  2. "Klondike" (p.303) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999.
  3. Parlett (1979), pp. 94–95.
  4. Coops (1939), p. 10.
  5. Heinrich, Rudolf (2011). Die schönsten Patiencen, 35th edition. Vienna: Perlen-Reihe. p. 16-17. .
  6. "Canfield" (p.425) in The Penguin Book of Card Games by David Parlett, Treasure Press, 1987.
  7. Web site: A brief history of Solitaire, Patience, and other card games for one. TheWeek. 5 June 2015.
  8. Book: 150 solitaire games. Douglas Brown, Walter Brown Gibson. Barnes & Noble. 1985. 132. 0064637026.
  9. Hoyle's Games (1907), pp. 248–252.
  10. Official Rules of Card Games (1913), p. 225.
  11. "Klondike" (p.303) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999.
  12. "Klondike" (p.195) in Hoyle's Rules of Games (3rd edition) by Philip D. Morehead (ed.), 2001.
  13. Web site: Diaconis. Persi. Mathematics of Solitaire. Mathematics Department and Graduate School Colloquium Archive 1998-1999. 20 December 2021. https://web.archive.org/web/20041216141330/http://www.math.washington.edu/Seminars/Archives/coll1998-1999.php . 16 December 2004 . dead.
  14. Web site: Searching Solitaire in Real Time. https://ghostarchive.org/archive/20221009/http://web.engr.oregonstate.edu/~afern/papers/solitaire.pdf . 2022-10-09 . live. September 2007. ICGA Journal. 31 July 2020.
  15. 1906.12314. Blake. Charlie. The Winnability of Klondike Solitaire and Many Other Patience Games. Gent. Ian P.. cs.AI. 2019.
  16. Web site: Lower Bounding Klondike Solitaire with Monte-Carlo Planning. Bjarnason. Ronald. Fern. Alan. Tadepalli. Prasad. 2009. Proceedings of the Nineteenth International Conference on Automated Planning and Scheduling. 2021-09-24. 2021-09-24. https://web.archive.org/web/20210924183919/https://www.aaai.org/ocs/index.php/ICAPS/ICAPS09/paper/viewFile/724/1090. dead.
  17. Web site: The Application of Human Monte Carlo to the Chances of Winning Klondike Solitaire. Jupiter Scientific. 2013.
  18. "Whitehead" (p.81-83) in The Little Book of Solitaire, Running Press, 2002.
  19. "Las Vegas Solitaire" (p.304-305) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999.
  20. "Joker Solitaire" (p.305-306) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999.
  21. "Double Solitaire" (p.306-307) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999.
  22. News: Garreau . Joel . 1994-03-09 . Office Minefield . The Washington Post . 2021-04-04.
  23. Web site: Solitaire. Atari Mania. 31 July 2020.
  24. Web site: A little history. casteel.org. 31 July 2020.
  25. Web site: Nintendo Shares A Handy Infographic Featuring All 51 Worldwide Classic Clubhouse Games. Nintendo Life. 25 May 2020. 21 July 2020.
  26. https://web.archive.org/web/20121021174637/http://support.microsoft.com/kb/101766/en-us Highest Score in Windows Solitaire