Baker's Game

Baker's Game is a Patience game (or card Solitaire game) similar to FreeCell (and predating it) which differs in the fact that sequences are built by suit, instead of by alternate color.^[1]

History

One of the oldest ancestors of Baker's Game is Eight Off. In the June 1968 edition of Scientific American, Martin Gardner described in his "Mathematical Games" column a game by C. L. Baker, that is now known as Baker's Game. Gardner wrote "The game was taught to Baker by his father, who in turn learned it from an Englishman during the 1920's".^[2]

The description of Baker's Game in the "Mathematical Games" column inspired Paul Alfille to create FreeCell and he coded it for the PLATO educational computer system, which ended up becoming more popular than Baker's Game.^[3]

Rules

(Adapted from the FreeCell's article Rules.)

Construction and layout:

• One standard 52-card deck is used.
• There are four open cells and four open foundations. (Some alternate rules use between one to ten cells.)
• The entire deck is dealt out left to right into eight cascades, four of which comprise seven cards and four of which comprise six. (Some alternate rules will use between four to ten cascades.)

Building during play:

• The top card of each cascade begins a tableau.
• Tableaux must be built down by the same suit.
• Foundations are built up by suit.

Moves:

• Any cell card or top card of any cascade may be moved to build on a tableau, or moved to an empty cell, an empty cascade, or its foundation.
• Complete or partial tableaus may be moved to build on existing tableaus, or moved to empty cascades, by recursively placing and removing cards through intermediate locations. While computer implementations often show this motion, players using physical decks typically move the tableau at once.

Victory:

• The game is won after all cards are moved in ascending number by suit to their foundation piles.^[4]

Statistics

Freecell Solver, a solver for some variants of Patience game, including Baker's Game,^[5] was run on the first 69 million deals of Baker's Game based on the Microsoft FreeCell deals, in order to collect statistics.^[6] The solver was run using a preset that guarantees an accurate verdict. Out of the 10 million deals, 7,431,962 were solvable (making for an average win rate of 74.3%), with a maximal iterations count of 893,777 iterations. The remaining unsolved deals yielded a maximal iterations count of 69 iterations.

Automated solvers

Some automated solvers of card solitaire are capable of solving Baker's Game layouts:

• Don Woods's solver.^[7]
• Freecell Solver by Shlomi Fish.^[8]
• Brain Jam Assistant by "Berto".^[9]

References

1. ↑ Freecell FAQ and Links
2. ↑ Gardner, Martin (June 1968). "Mathematical Games". Scientific American 218 (6): p. 114. 
3. ↑ Kaye, Ellen (October 17, 2002). "One Down, 31,999 to Go: Surrendering to a Solitary Obsession". New York Times. 
4. ↑ Baker's Game's Rules on Pretty Good Solitaire
5. ↑ Freecell Solver's features list
6. ↑ fc-solve-discuss : Message: “Solving Statistics for the first 10 Million MS-Freecell-like Baker's Game Deals”
7. ↑ Freecell FAQ
8. ↑ Freecell Solver’s Features List
9. ↑ Berto's Brain Jam Page

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