Klondike (solitaire)

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Klondike
A patience game
GNOME Aisleriot Solitaire (cropped).png
Game setup
Alternative namesCanfield, Solitaire, Patience, Seven up, Sevens
Named variants Agnes (Bernauer), Batsford, Easthaven, King Albert, Thumb and Pouch, Somerset or Usk, American Westcliff
Type Simple packer
FamilyKlondike
DeckSingle 52-card
Playing time10 min [1]
Odds of winning18% to 43%

Klondike 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]

Contents

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 Canfield Casino in Saratoga Springs, New York; 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, [7] 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". [8]

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. [9] [10] 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. [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 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

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. Klondike lost game.jpg
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. Thoughtful Solitaire.jpg
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, and 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". [14]

An upper bound on the probability of winning can be found by considering a modified version of the game called "Thoughtful Solitaire" or "Thoughtful Klondike", in which location of all 52 cards is known. [15] The probability of winning Thoughtful Klondike (with draw three rules) has been estimated at 81.942% ± 0.081%. [16] [17] However the probability of winning regular Klondike is smaller, because sometimes there is no way of knowing the correct move without being able to see the downturned cards.

For the most common variant (turn three cards, unlimited passes), a number of studies have been made. A Klondike-playing AI using Monte Carlo tree search was able to solve up to 35% of randomly generated games. [18] Another algorithm has a winning rate of 52% in “turn one” mode, and 18% in “turn three”. [19] These results place a lower bound on the winnability percentage. One experiment found a skilled human player could win 189 out of 442 games (43%). [20]

Hoyle's Rules of Games suggests the chances of winning as being 1 in 30 games, when there is only one pass through the deck. [21]

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. [23] 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. [24]

Double Solitaire

Klondike has been turned into a two-player game under the name Double Solitaire. [25] 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: [30]

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

Related Research Articles

<span class="mw-page-title-main">Yukon (solitaire)</span>

Yukon is a type of patience or solitaire card game using a single deck of playing cards like Klondike, but there is no deck or stock, and manipulation of the tableau works differently.

<span class="mw-page-title-main">Calculation (card game)</span> Solitaire card game

Calculation is a solitaire card game played with a standard pack of 52 cards. 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.

<span class="mw-page-title-main">Spider (solitaire)</span> Type of patience game

Spider is a type of patience game, and is one of the more popular two-deck solitaire games. The game originated in 1949, and its name comes from a spider's eight legs, referencing the eight foundation piles that must be filled in order to win.

The Carpet is a patience or solitaire game where the object is to discard all cards to the foundations where the aces are already dealt. It is a simple game relatively easy to get out more often than not.

Accordion is a patience or card solitaire using a single deck of playing cards. It is so named because it looks like accordion pleats, which have to be ironed out. The object is to compress the entire deck into one pile like an accordion.

Gargantua is a patience or solitaire card game that is a version of Klondike using two decks. It is also known as Double Klondike.

<span class="mw-page-title-main">Napoleon at St Helena</span> Card game

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.

Aces Up is a quick and simple, one-pack, patience or solitaire card game.

<span class="mw-page-title-main">Agnes (card game)</span>

Agnes is a patience or solitaire card game that emerged in England about the same time as Klondike appeared in the US. The classic version has the unusual feature of packing in colour, a feature it shares with Whitehead. By contrast, the later American variant appears to have been influenced by Klondike with packing is in alternate colours. The classic game has been described as the best single-pack patience yet invented.

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.

<span class="mw-page-title-main">Bristol (card game)</span>

Bristol is a Patience game using a deck of 52 playing cards. It is a fan-type game in the style of La Belle Lucie. It has an unusual feature of building regardless of suit on both the foundations and on the tableau; it is also one of the easiest to win. It was invented by Morehead & Mott-Smith around 1950.

Tournament is a patience or solitaire card game which uses two decks of playing cards shuffled together. It is a variant of the much older game of Napoleon's Flank or Nivernaise and was first known as Maréchal Saxe.

Eagle Wing is a Patience game which is played with a deck of 52 playing cards. The game takes its name from the tableau which depicts an eagle-like bird spreading its wings in flight. It is somewhat related to the Canfield variant Storehouse.

Westcliff is the name of two closely related patience or card solitaire games of the simple packer type, both of which are played using a deck of 52 playing cards. One version is particularly easy to win, with odds of 9 in 10; the other is harder with odds closer to 1 in 4. The game has a variant, Easthaven.

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.

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.

Corona is a relatively long and difficult patience or card solitaire using two decks. The object of the game is to move all of the cards to the foundations. Successfully winning the game is considered difficult.

References

  1. Arnold (2011), pp. 71–72.
  2. "Klondike" (p.303) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN   1-889752-06-1
  3. Parlett (1979), pp. 94–95.
  4. Coops (1939), p. 10.
  5. 1 2 Parlett 1991, p. 156-157.
  6. Heinrich, Rudolf (2011). Die schönsten Patiencen, 35th edition. Vienna: Perlen-Reihe. p. 16-17. ISBN   978-3-99006-001-8.
  7. Parlett 1979, p. 94/95.
  8. "Canfield" (p.425) in The Penguin Book of Card Games by David Parlett, Treasure Press, 1987. ISBN   1-85051-221-3
  9. "A brief history of Solitaire, Patience, and other card games for one". TheWeek. 5 June 2015.
  10. Douglas Brown, Walter Brown Gibson (1985). 150 solitaire games. Barnes & Noble. p.  132. ISBN   0064637026.
  11. Hoyle's Games (1907), pp. 248–252.
  12. Official Rules of Card Games (1913), p. 225.
  13. "Klondike" (p.303) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN   1-889752-06-1
  14. 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.
  15. "Searching Solitaire in Real Time" (PDF). ICGA Journal. September 2007. Archived (PDF) from the original on 2022-10-09. Retrieved 31 July 2020.
  16. Blake, Charlie; Gent, Ian P. (2019). "The Winnability of Klondike Solitaire and Many Other Patience Games". arXiv: 1906.12314 [cs.AI].
  17. Dang, Nguyen; Gent, Ian P.; Nightingale, Peter; Ulrich-Oltean, Felix; Waller, Jack (25 August 2024). "Constraint Models for Relaxed Klondike Variants" (PDF). ModRef 2024 (Girona). Retrieved 26 August 2024.
  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. "How to win at Solitaire § Remarks". FreeSolitaire.win. 2021. Retrieved 2024-10-03.
  20. "The Application of Human Monte Carlo to the Chances of Winning Klondike Solitaire". Jupiter Scientific. 2013.
  21. "Klondike" (p.195) in Hoyle's Rules of Games (3rd edition) by Philip D. Morehead (ed.), 2001. ISBN   0-451-20484-0
  22. "Whitehead" (p.81-83) in The Little Book of Solitaire, Running Press, 2002. ISBN   0-7624-1381-6
  23. "Las Vegas Solitaire" (p.304-305) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN   1-889752-06-1
  24. "Joker Solitaire" (p.305-306) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN   1-889752-06-1
  25. "Double Solitaire" (p.306-307) in Bicycle Official Rules of Card Games by Joli Quentin Kansil (ed.), 1999. ISBN   1-889752-06-1
  26. Garreau, Joel (1994-03-09). "Office Minefield". The Washington Post. Retrieved 2021-04-04.
  27. "Solitaire". Atari Mania. Retrieved 31 July 2020.
  28. "A little history". casteel.org. Retrieved 31 July 2020.
  29. "Nintendo Shares A Handy Infographic Featuring All 51 Worldwide Classic Clubhouse Games". Nintendo Life. 25 May 2020. Retrieved 21 July 2020.
  30. 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