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Mahjong solitaire

Mahjong solitaire is a single-player puzzle game that uses a set of 144 mahjong tiles arranged in a multi-layered layout, such as the classic "turtle" formation, where the objective is to clear the board by matching and removing pairs of identical tiles. Only "free" tiles—those exposed on at least one long side and not covered by another tile above—can be selected for matching, with the game concluding in victory upon removal of all tiles or defeat if no legal moves remain.^[1] Unlike traditional mahjong, a four-player rummy-like game that originated in southern China during the mid-19th century amid the Qing Dynasty as a form of gambling entertainment, mahjong solitaire is a modern digital invention focused on solitary strategic matching rather than communal play and scoring.^[2] The solitaire variant was first created in 1981 by programmer Brodie Lockard, a Stanford University student recovering from a gymnastics injury, as a computer program named Mah-Jongg for the PLATO educational computing system at the University of Illinois.^[3] Lockard's version featured the iconic turtle-shaped layout and marked the earliest known implementation of this puzzle format, drawing inspiration from the visual and thematic elements of mahjong tiles without adhering to the multiplayer rules.^[4] The game's popularity surged in 1986 with Activision's release of Shanghai for Macintosh and other personal computers, which introduced accessible graphics, multiple layouts, and features like hints and time trials, transforming it into a mainstream video game phenomenon.^[5] Tiles in mahjong solitaire consist of three suited sets (circles, bamboos, and characters, each with ranks 1-9 appearing four times), honor tiles (four winds and three dragons, each four times), and bonus tiles (four flowers and four seasons, each unique and matchable to any other of their type).^[1] Over time, the game has evolved with countless digital variations, including themed layouts, power-ups, and mobile adaptations, while physical sets allow for tabletop play, though solvability depends on the arrangement—approximately 3% of random layouts are impossible to complete.^[1] Today, mahjong solitaire remains a staple in casual gaming, valued for its blend of pattern recognition, foresight, and relaxing yet challenging mechanics.

History

Relation to traditional Mahjong

Mahjong solitaire draws its foundational elements from traditional Mahjong, a tile-based rummy game that originated in China during the mid-19th century amid the Qing Dynasty. Developed as a social pastime for four players, it involves drawing tiles from a shared pool, discarding others, and strategically forming sets such as pungs (three identical tiles), kongs (four identical tiles), and chows (three sequential tiles in the same suit) to complete a winning hand.^[6]^[7] In contrast to this multiplayer format, which emphasizes competitive interaction, bluffing, and opponent anticipation, Mahjong solitaire adapts the tiles into a solitary puzzle where the objective shifts to identifying and removing identical pairs from a stacked layout, focusing on spatial reasoning and sequential accessibility rather than set-building or round-based scoring. This fundamental divergence transforms the original game's social and strategic depth into a non-competitive, meditative challenge, eliminating drawing, discarding, and interpersonal dynamics altogether.^[7]^[8] Traditional Mahjong gained international prominence in the early 20th century, spreading from China via expatriates and traders to Europe and the United States, where it became a cultural phenomenon in the 1920s. American adaptations, such as those popularized by entrepreneur Joseph Babcock, simplified certain rules and incorporated Western stylistic elements like decorative tile designs, influencing the visual appeal of later variants but leaving the core multiplayer mechanics intact—unlike the solitaire version, which repurposes the tiles without adopting these competitive rules.^[2] At its core, Mahjong solitaire employs the identical standard set of 144 tiles from traditional Mahjong, comprising three suits (characters, dots or circles, and bamboos, with four each of numbers 1 through 9), honor tiles (four winds and three dragons, four each), and eight bonus tiles (four flowers and four seasons). This shared inventory provides aesthetic and thematic continuity, yet the solitaire adaptation, emerging decades after the original's global dissemination, reimagines these tiles solely for pairwise elimination in a single-player context.^[8]^[9]

Invention and early development

Mahjong solitaire was invented in 1981 by programmer Brodie Lockard for the PLATO educational computer system at the University of Illinois.^[3] Lockard, a quadriplegic who coded using a mouth stick due to his disability, developed the game as an innovative single-player adaptation of traditional Mahjong tiles, initially naming it "Mah-Jongg Solitaire."^[3] This creation marked the first digital implementation of the solitaire variant, transforming the multiplayer tile game into a solitary puzzle suited for computer play.^[10] The early development focused on adapting the game for PLATO's text-based terminals, which featured rudimentary graphics via an orange plasma display.^[3] Lockard programmed the game to use exactly 144 traditional Mahjong tiles, arranged in the Turtle formation that simulated a three-dimensional layout on the flat screen.^[11] Despite the hardware limitations of the era, the version emphasized strategic tile removal, allowing players to clear the board by matching identical tiles, and it quickly gained popularity among PLATO users in educational and research settings.^[10] Lockard's design drew inspiration from physical Mahjong tile arrangements, where tiles are stacked and shuffled, but he adapted it for computational constraints by prioritizing accessibility and solvability on limited processing power.^[3] This led to the introduction of the core mechanic: removing pairs of matching "free" tiles—those not blocked on both sides or covered above—creating a puzzle reliant on planning and foresight rather than chance.^[10] The PLATO iteration remained non-commercial and niche, serving as a proof-of-concept that highlighted the potential of tile-based digital puzzles.^[12]

Popularization through computer games

The release of Activision's Shanghai in 1986 for the Macintosh platform played a pivotal role in bringing Mahjong solitaire to mainstream audiences through computer games, featuring visually appealing graphical tiles, sound effects, and the iconic Turtle layout derived from earlier digital prototypes.^[5]^[13] The game was quickly ported to other systems, including the Apple IIgs, Atari ST, Amiga, and MS-DOS, broadening its reach beyond the initial Macintosh users.^[5] Subsequent releases built on this foundation, with Shanghai II: Dragon's Eye launching in 1988 for PC platforms and introducing timed challenge modes alongside multiplayer options, enhancing replayability and competitive elements.^[14] Expansions continued into the 1990s on consoles, such as ports to the Nintendo Entertainment System and Sega Master System, which adapted the game for joystick controls and further embedded it in home gaming culture.^[15] The 1990s and 2000s saw explosive growth, exemplified by the inclusion of a Mahjong solitaire variant called Taipei in Microsoft's Entertainment Pack 1 for Windows 3.0 in 1990, which exposed the game to millions of PC users worldwide and contributed to its integration into operating system bundles.^[16] This era also witnessed the proliferation of mobile apps and online versions, with the franchise and its imitators appearing in numerous commercial titles, significantly influencing casual gaming trends and introducing the puzzle to non-Asian markets unfamiliar with traditional Mahjong.^[17]

Gameplay

Basic rules and objectives

Mahjong solitaire is a single-player puzzle game in which the primary objective is to clear the board by removing all 144 tiles through pairwise matching. Players win by successfully pairing and eliminating every tile, thereby exposing and accessing the underlying layers until none remain. The game results in a loss if no valid moves are available while tiles are still present on the board, often requiring a reshuffle or restart depending on the variant or implementation.^[18] The standard tile set comprises 144 tiles derived from traditional Mahjong, divided into suited, honor, and bonus categories. The suited tiles include three suits—characters (wan), dots (tong), and bamboos (tiao)—each featuring nine ranks (1 through 9) with four identical copies per rank, totaling 108 tiles. Honor tiles consist of 28 pieces: four each of the four directional winds (east, south, west, north) and four each of the three dragons (red, green, white). The remaining eight are bonus tiles: four flowers (plum, orchid, chrysanthemum, bamboo) and four seasons (spring, summer, autumn, winter).^[19] To execute a legal move, players select two identical tiles that meet specific accessibility criteria: both must be uncovered, meaning no tiles rest directly atop them, and each must have at least one long side (left or right) free from adjacent tiles, allowing it to be "slid" away without obstruction. Standard rules require exact matches for suited and honor tiles, but flowers can pair with any other flower, and seasons with any other season, functioning as semi-wildcards in these cases.^[20]

Tile layouts and setup

Mahjong solitaire is typically played with a set of 144 tiles arranged in stacked layers to form a multi-tiered board, usually consisting of four layers in total, creating a three-dimensional structure where upper tiles partially obscure those beneath. The tiles are shuffled and placed face up in symmetrical patterns, ensuring an even distribution across the three suits (characters, dots, and bamboos) plus honors, to maintain balance in matching opportunities. This setup emphasizes the game's puzzle-like challenge, as the layering restricts access to only certain exposed tiles on the edges or top surfaces.^[21]^[9]^[20] Among the most iconic layouts is the Turtle, a compact formation resembling a turtle's shell with protruding "legs" and "tail," built in four layers for high difficulty due to its dense stacking and limited initial exposures. The Dragon layout offers an elongated, linear arrangement that promotes a flowing progression of matches, often spanning a wider horizontal span across the layers to encourage strategic planning along its serpentine path. In contrast, the Pyramid layout adopts a triangular shape with decreasing rows—typically five levels narrowing upward—focusing the challenge on progressively exposing inner tiles as outer layers are cleared. These patterns define "free" tiles as those on the outer edges or uncovered tops, directly influencing the initial moves available to players.^[22]^[23]^[9] In computer implementations, layouts are generated using algorithms that randomly assign tiles to predefined structural positions while verifying solvability to ensure fair play, often producing boards with thematic variations such as animal shapes like fish or birds for visual appeal. Physical sets, by comparison, require manual stacking by players, who build the layers sequentially from the base upward using the chosen pattern as a guide, though this can introduce variability in stability and exposure. Common constructions draw from grid-based foundations, with inner layers forming smaller squares (such as 4x4 configurations) atop broader bases to achieve the total of 144 tiles.^[24]^[25]^[26]

Matching and removal mechanics

In Mahjong solitaire, a tile qualifies as free and eligible for removal only if it is not covered by any other tile on top and has at least one of its long sides (left or right) completely open, with no adjacent tiles blocking that side along the row.^[27] This condition ensures that tiles can be conceptually "removed" without disturbing the fixed layout, as the game prohibits any physical rearrangement of tiles during play.^[28] Blocked tiles, those covered or flanked on both sides, remain inaccessible until surrounding tiles are cleared, creating the core puzzle element of the game.^[9] The pairing process involves selecting two free tiles that are identical in design—such as matching symbols from the suits of characters, bamboos, or dots—to execute a removal.^[27] Upon a successful match, both tiles vanish from the board instantly, often exposing previously hidden or blocked tiles underneath or adjacent to them, which may then become free for subsequent pairs.^[9] Flower and season tiles serve as special cases, pairable with any other flower or season tile regardless of specific design.^[9] In a standard setup of 144 tiles, clearing the board requires exactly 72 such matching moves.^[29] Digital implementations of Mahjong solitaire enhance accessibility through visual aids, such as automatically highlighting all free tiles to indicate potential matches and prevent invalid selections.^[30] Removals are typically accompanied by smooth animations depicting the tiles fading, exploding, or sliding away, providing satisfying feedback during play.^[31] Many versions also incorporate an undo feature, allowing players to reverse one or more recent moves without penalty, which supports experimentation in solving layouts.^[25]

Analysis and strategies

Mathematical properties and solvability

Mahjong solitaire's solvability is a key mathematical concern, as not all tile arrangements can be fully cleared. For random arrangements of 144 tiles (72 pairs), approximately 2.96% are impossible to solve, primarily due to isolated tiles that become buried and unmatchable without violating the free-tile rule.^[32] This low solvability rate arises from the game's stacking constraints, where tiles must remain accessible on at least one side and not covered to be eligible for matching. In contrast, computer-generated layouts in digital implementations are typically constructed via backward solving—starting from an empty board and adding matched pairs in reverse—to ensure full solvability.^[33] Determining whether a given board is solvable is computationally challenging. The problem of proving solvability is NP-complete, even under a "peeking" model where the player has limited visibility into future moves or isolated stacks.^[34] Recursive algorithms can exhaustively check possible move sequences, but the search space grows exponentially, rendering brute-force solving infeasible for large instances without heuristics.^[35] Combinatorially, the number of unique tile arrangements in Mahjong solitaire is computed by enumerating valid stack configurations and tile assignments, accounting for symmetries such as identical tiles and layout invariances, which reduce the effective count by orders of magnitude. Exact values are feasible only for small numbers of tiles (n up to around 20), due to exponential growth.^[19]^[36] Overall, arrangements grow factorially with n, but tile symmetries (e.g., identical suits) and layout invariances reduce the effective unique count by orders of magnitude.

Player strategies and techniques

Players employ several key strategies to improve their success in Mahjong solitaire, focusing on proactive decision-making to avoid deadlocks and maximize board accessibility. A primary technique involves prioritizing the removal of tiles from high stacks and long horizontal rows early in the game, as these structures can quickly become blockages if left unaddressed, limiting future matches.^[37]^[9] Targeting corners and edges next helps progressively open the layout, exposing more free tiles for pairing and preventing isolated pockets from forming.^[38] Memory plays a crucial role in effective play, particularly in digital implementations where removed tiles disappear from view, requiring players to mentally track the positions of potential matches beneath layers. Techniques include scanning the board systematically to note the locations of buried tiles and focusing on freeing essential matches early, such as those involving flowers or seasons that may only appear once.^[39] This mental mapping allows players to anticipate combinations without relying solely on immediate visible pairs.^[40] Common pitfalls include hastily removing what appears to be the "only possible" pair at the moment, which can trap vital tiles deeper in the layout and lead to unsolvable positions. To counter this, players should evaluate multiple options and avoid such moves unless no alternatives exist. Reshuffle features, available in many digital versions, should be used sparingly—ideally only after exhausting all visible moves—to maintain strategic momentum without resetting progress unnecessarily.^[41]^[38] Experienced players enhance their performance by planning 2-3 moves ahead, visualizing the board's evolution to prioritize suits with fewer instances, such as honors (winds and dragons), which are less abundant than suited tiles and thus more prone to becoming stranded. This forward-thinking approach, combined with identifying free tiles as per standard matching rules, enables higher success rates on solvable boards, far exceeding random play outcomes where only about 97% of layouts are theoretically winnable but few are cleared without strategy.^[42]^[37]^[43]

Variations

Layout variations

Mahjong solitaire features a wide array of layout variations that extend beyond the traditional turtle configuration, incorporating creative shapes and structures to enhance visual appeal and gameplay diversity. These variations often draw from thematic elements, adjusting the spatial arrangement of tiles to create unique challenges while maintaining core matching mechanics.^[25] Thematic layouts frequently adopt animal-inspired forms to add aesthetic interest. For instance, the Fish layout arranges tiles in a wavy, fish-like pattern, offering medium difficulty through its flowing structure that requires careful navigation of curved edges.^[44] Similarly, the Bird layout forms an asymmetrical bird shape with wing-like extensions, presenting an unbalanced board that demands strategic prioritization of exposed tiles on one side.^[45] Other animal-themed examples include the Bison layout, which mimics a bison's head complete with horns, starting with limited openings to heighten initial tension.^[46] Seasonal themes further diversify layouts, such as the Christmas Tree configuration, where tiles form a triangular evergreen shape adorned with holiday motifs, evoking festive imagery while escalating difficulty toward the base.^[47] Difficulty variants adjust layer depth, density, and interlocking to cater to different skill levels. Easy layouts typically feature flat arrangements with only two layers and reduced tile counts around 48, allowing quicker matches and higher solvability for beginners.^[48] In contrast, hard variants employ dense, up to six-layer stacks with heavy interlocking, burying many tiles deeply and necessitating foresight to avoid dead ends.^[49] Some modern digital implementations introduce dynamic elements, where tiles may shift or rearrange slightly after removals in select apps, adding unpredictability to traditional fixed boards.^[50] Contemporary online platforms expand options significantly, providing over 100 layouts to boost replayability. Notable examples include the Gate layout, an arch-shaped vertical design inspired by architectural forms that funnels matches through narrow openings.^[51] The Triangle layout builds a pyramidal escalation, with progressively wider bases that challenge players to clear upper tiers first.^[52] Physical sets occasionally incorporate custom molds for these shapes, though digital versions dominate for intricate designs. Since the 2000s, these variations have commonly reduced tile counts—for quick play sessions using about 72 tiles—and integrated power-ups like tile hints, further enhancing engagement and longevity.^[53]^[54]

Rule and tile set modifications

Mahjong solitaire variants often introduce rule modifications to enhance accessibility, challenge, or replayability, diverging from the standard pair-matching mechanics applied to the traditional 144-tile set. Timed versions impose a strict time limit, such as five minutes, to clear the board, adding pressure and encouraging efficient decision-making; this adaptation is common in digital implementations to simulate urgency and prevent prolonged sessions.^[55] Reshuffle options activate after reaching a dead end, randomly rearranging remaining tiles to provide additional opportunities for completion without restarting the game entirely.^[37] Tile set modifications expand the game's thematic appeal and inclusivity beyond the classic Chinese symbols. Non-traditional themes replace suits with everyday objects like jewels, fruits, or abstract patterns, such as gems in place of dots or produce for bamboos, to refresh visuals and attract diverse audiences in app-based versions.^[56] Simplified sets reduce the total to 108 tiles by omitting honors and bonus tiles, streamlining setup for quicker play while preserving matching logic.^[57] Color-blind accessible variants prioritize distinct shapes and textures over color reliance, using outlines or icons like circles for dots and lines for bams to ensure visibility for players with visual impairments.^[58] Since the 2010s, modern adaptations in mobile applications have integrated daily challenges, presenting curated layouts with time or move limits to encourage regular engagement, as seen in titles offering fresh puzzles each day.^[59] Some incorporate augmented reality (AR) overlays, projecting tiles onto real-world surfaces via smartphone cameras for immersive play, though this remains niche.^[60] Inspired by other matching solitaires, certain variants allow three-tile matches, such as sequences of consecutive numbers or identical triples, altering the pair-only rule to accelerate removal and introduce new strategic layers in games like Mahjong Triple.^[61]

References

[1]
Shanghai — StrategyWiki | Strategy guide and game reference wiki
Jul 15, 2024 · Shanghai (上海シャンハイ) is a computerized version of Mahjong solitaire, a tile matching game. In Shanghai, the player removes both free ...Introduction · Gameplay · Tiles · Strategy Tips
[2]
Why mahjong is a global phenomenon | National Geographic
Jul 6, 2023 · Mahjong was developed in Southern China in the mid-1800s toward the end of the Qing Dynasty, one of many male-dominated gambling games that ...Missing: rules | Show results with:rules
[3]
Shanghai: How Brodie Lockard Overcame Adversity - Tedium
Nov 15, 2017 · Originally built on the PLATO computing platform by Brodie Lockard in 1981, the computer game was groundbreaking both on a technical basis—the ...Missing: invention | Show results with:invention
[4]
Mah-Jongg (1981) - MobyGames
Nov 28, 2021 · Mah-Jongg is the very first computer implementation of the solitaire variant of Mahjongg, also known as Shanghai.
[5]
Shanghai (1986) - MobyGames
Shanghai is one of the first video game adaptations of the tile-based game played with the Chinese mahjong stones - essentially a puzzle game.
[6]
History of Mahjong: From Ancient Social Game to Casino Classic
Sep 20, 2025 · Its origins are much more recent, tracing back to the mid-19th century during China's Qing Dynasty. Historical evidence suggests the game ...
[7]
https://www.mastersofgames.com/rules/mah-jong-rules.htm
[8]
A Guide to Mahjong Tile Meanings - ThoughtCo
May 19, 2024 · The traditional set of 144 mahjong tiles includes three simple suits (stones, characters, bamboo), two honor suits (winds, dragons), and one ...Stones · Characters · Flowers
[9]
How to Play Mahjong Solitaire: Rules & Strategies
Jul 18, 2024 · How to Play Mahjong Solitaire · 1. Study the Board of Tiles · 2. Pair and Remove Matching Tiles Together · 3. Think Ahead to Free Up Important ...
[10]
The Origins and Development of Computer Mahjong | The Startup
Dec 18, 2020 · The object of the game is to remove tiles in matching pairs until the board is empty. You lose if you run out of moves, with tiles still in the stack.Missing: definition | Show results with:definition
[11]
History of Mahjong Solitaire - classic-mahjong.com
It was first developed and designed by Brodie Lockard in 1981 for the PLATO computer system and was named Mah-Jongg. PLATO was the first computer-assisted ...
[12]
Genre: Card / Tile game - Shanghai / Mahjongg solitaire - MobyGames
Games based on the tile-matching game first implemented in 1981 on the PLATO computer system by Brodie Lockard, commonly known as 'Shanghai' after its first ...Missing: invention | Show results with:invention
[13]
Revisiting Mahjong as One of the Earliest Strategy Games in Digital ...
Jun 2, 2025 · Just a few years following, in 1986, Activision developed Shanghai after fixing the original concept. ... tile designs and sound effects made with ...
[14]
Shanghai II: Dragon's Eye (1990) - PC Game - Squakenet
In terms of game modes, Shangai 2 has quite a few of those as well: it has your average no time constraints mode, it has a time counted game type and also a ...
[15]
Shanghai II (1989) - MobyGames
This variant features six patterns named after animals: tiger, scorpion, monkey, snake, panther, and dragon. The player can choose to display hints or reverse ...
[16]
Microsoft Entertainment Pack for Windows (1990) - MobyGames
Genre: Card / Tile game - Shanghai / Mahjongg solitaire · Screenshots ... Released 1991 on Windows 16-bit. box cover · Microsoft Entertainment Pack 3
[17]
Shanghai: Triple Threat - sega saturn, shiro!
Mar 26, 2019 · Across all platforms, Shanghai sold over 10 million copies since the original 1986 release. Activision's decision to release a Saturn Shanghai ...
[18]
[PDF] Solving Mahjong Solitaire boards with peeking - arXiv
Mar 29, 2012 · Mahjong Solitaire is a game which is played with the 144 tiles of the Chinese game Mahjong. The tiles are distributed in 36 groups of four tiles ...
[19]
[PDF] Mahjong Solitaire Computing the number of unique and solvable ...
٢٥‏/٠٣‏/٢٠١١ · The game was originally created by Brodie Lockard in 1981 for the PLATO computer. 1. Page 2. Figure 1: An example of the game Mahjong Solitaire ...
[20]
Mahjongg Rules - MahjongFun
There are 144 tiles in a mahjong set. Each tile appears 4 times in the set, except the tiles in the Flower or Season group. For more info about mahjong tiles, ...
[21]
How to play Mahjong Solitaire
Jul 7, 2022 · Firstly, tiles must be identical to form a pair – this means they must feature the same suit and number. For example, the two of winds can only ...What Is Mahjong Solitaire? · How To Play Mahjong... · Rules Of Mahjong Solitaire
[22]
Tutorial: How to play Mahjong?
This pyramid-like layout is called the “Turtle” because of the visible legs and tail and the pyramid's similarity to the turtle's shell. There are many Mahjong ...
[23]
MahjongFun: Mahjong - Online & Free Mahjong Games
Mahjong first developed in China as a multiplayer tile game during the 1800s. The mahjong solitaire games on our website use the same tiles as the original ...Mahjongg Solitaire · Reversi · Mahjong Shanghai Dynasty · Backgammon
[24]
[PDF] Solving Mahjong Solitaire Positions
Dec 4, 2007 · Mahjong Solitaire is a tile-removal game with imperfect information. This paper describes a research on solving Mahjong positions and of-.
[25]
Mahjong - Play Online & 100% Free | Solitaired.com
Mahjong Layouts. You can change the layout to Mahjong Solitaire, with each setup offering its own unique challenges. You can choose from a turtle, fish, bird ...
[26]
How to Play Mahjong Solitaire For Beginners: Rules & Strategies
May 27, 2023 · To play Mahjong Solitaire online, start by picking a layout, such as classic, pyramid, or the square. Next, remove any open blocks in pairs to ...
[27]
Mahjong Solitaire - Game Rules
A tile is open if at least one long edge is free, and if it has no tiles atop it. Remove pairs of identical open tiles. You win if you match up all the tiles.<|control11|><|separator|>
[28]
Mahjong Solitaire - The Mahjong, free mahjong online
You can only remove a tile if it is open on either its left or right side. If a tile is blocked on both sides, you cannot remove it. The third rule of Mahjong ...
[29]
Mahjong - Play Online & Free
Your goal is to remove tiles from the screen by matching tiles with identical images. ... Mahjong Solitaire matching rules; Match any Season and Flower tiles ...Mahjong Tiles · Mahjong Spider Solitaire · History of Mahjong Solitaire · King Midas<|separator|>
[30]
https://play.google.com/store/apps/details?id=mahjong.free.games
[31]
Mini Mahjong - Free download and play on Windows - Microsoft Store
Rating 3.6 (35) · Free · WindowsMay 28, 2013 · After removing all tiles you can get Animated Congratulation message & your score stored in system. When Player click on Hint, then system ...
[32]
[PDF] Solving Shisen-Sho boards - arXiv
Oct 18, 2020 · Mahjong Solitaire: 2.959 percent impossible. Transposed Mahjong Solitaire: 1.756 percent impossible. Shisen-Sho: 1.906 percent impossible. The ...
[33]
[1203.6559] Solving Mahjong Solitaire boards with peeking - arXiv
Mar 29, 2012 · We first prove that solving Mahjong Solitaire boards with peeking is NP-complete, even if one only allows isolated stacks of the forms /aab/ and ...Missing: properties | Show results with:properties
[34]
[PDF] The complexity of Klondike, Mahjong, Nonograms and Animal Chess
For creating this Mahjong Solitaire, both the number of tiles and the number of tile sets we need to use is linearly bounded by the number of vertices used ...
[35]
Mahjong Solitaire Computing the number of unique and solvable ...
This paper shows in how many ways n tiles can be arranged and provides a recurrence relation on this sequence and offers algorithms for generating all ...
[36]
7 Mahjong Strategies to Win the Game - Solitaired
Dec 14, 2022 · 1. Memorize the tiles and their locations · 2. Try to match high piles and horizontal rows first · 3. Prioritize matches that will free up ...
[37]
Best Strategies, Tips, and Tricks to Win at Mahjong Solitaire - FRVR
Start by removing tiles from the top of the stack and the outer edges. These tiles are the most accessible and often hold the key to reaching deeper, hidden ...<|separator|>
[38]
9 Mahjong tips to master the game
1. Always think one step ahead · 2. Delay your moves if there is no immediate gain · 3. Pay close attention to tiles with the same symbol · 4. Keep an eye on ...1. Always Think One Step... · 2. Delay Your Moves If There... · 6. Use The Game Special...
[39]
How to Win Mahjong Solitaire: Top Tips for Success
Your goal is to match the tiles in order to remove them from the board of gameplay. To get the game underway, the tiles are laid out in a formation. The format ...
[40]
How To Win Mahjong Online: Tips For Every Skill Level
Feb 24, 2025 · For beginners, memorize tiles and prioritize high piles. In multiplayer, start with simple hands and build towards a specific hand. Analyze the ...
[41]
Free Mahjong Solitaire — Play Online | No Download Required
Mahjong Solitaire Strategy Guide. Professional ... Try to visualize the board 2-3 moves ahead before making a choice. ... •Use peripheral vision to spot matches ...
[42]
How To Master Mahjong Solitaire? Rules, Tips And Tricks
Jul 14, 2024 · ... history and how it's played. Mahjong Solitaire dates back to 1981 and is a versatile game. Owing to its simple nature, you can adapt it in ...Missing: definition | Show results with:definition
[43]
Fish - The Mahjong, free mahjong online
This classic Mahjong solitaire layout has tiles arranged in the shape of a fish, creating a visually pleasing picture on your screen and offering a unique ...Missing: animal themed bird
[44]
Play Bird Mahjong: An Intriguing Twist on the Classic in 2025
Sep 2, 2024 · In bird mahjong, we retain the traditional mahjong tiles and gameplay, while incorporating beautiful bird designs on the tiles. Mahjong birds ...
[45]
Bison – Free Mahjong Solitaire Online – TheMahjong
The 'Bison' layout is shaped like a bison's head, with horns and head, and is a challenging layout with limited opening moves.
[46]
Tree Christmas Mahjong
Christmas Tree Mahjong is sure to have you singing Oh Christmas Tree all year long with this perfect mahjong solitaire layout only from Christmas - Mahjong.com.Missing: themes | Show results with:themes
[47]
Mahjong Solitaire - Play Online for Free
The goal of Mahjong Solitaire is to clear the entire board by removing pairs of tiles. A pair can only be made from tiles that are open, meaning they are not ...
[48]
Mahjong Layout Collections: Explore Categories & Themes
Welcome to the themed collections of Mahjong Solitaire layouts! Here, we have compiled sets of layouts united by specific themes—ranging from classic styles ...Missing: animal seasonal difficulty levels examples
[49]
Dynamic online tile-sliding adventures - Mahjong Slide Games
Free online Mahjong Collision and Mahjong Slide games. In Mahjong Slide or Mahjong Collision games you have to slide or collide two of the same tiles together.
[50]
Gate Free Mahjong Online
Play the ancient game of Mahjong online on TheMahjong.com. Try fullscreen mode and explore other exciting features. We offer over 200 Mahjong Solitaire layouts, ...
[51]
Triangle Free Mahjong Online
Play free Mahjong online with over 200 layouts. Match pairs of open tiles to clear the board. Tiles must be open on either side to be removed.
[52]
The Mahjong: Play Mahjong Online Free
TheMahjong.com offers free online Mahjong Solitaire with over 200 layouts. It's a single-player game where you match pairs of tiles to clear the board.
[53]
Mahjong Solitaire - Download
Mahjong Solitaire offers multiple tile layouts and difficulty levels, ensuring variety and replayability. Players can enjoy quick sessions or complex boards ...
[54]
How To Play Mahjong Solitaire? - Thesolitaire.com
Jun 22, 2024 · The Pyramid layout naturally has the tiles arranged in the shape of a pyramid. This version is more challenging than the Spider variant because ...How To Play Mahjong... · Game Setup · Winning At Mahjong SolitaireMissing: turtle | Show results with:turtle
[55]
Ultimate Guide to All Mahjong Variants - FRVR
Jul 30, 2025 · (1986): one of the first mass‑market solitaire digital games. 4 Nin Uchi Mahjong (1984, Famicom): a game using Japanese riichi rules versus AI.
[56]
Mahjong Rules and How to Play Mahjong - Kristanix
In the solitaire version, your goal is to remove every tile by matching pairs of identical Mahjong tiles. ... Mahjong Solitaire is available on most platforms: PC ...
[57]
https://apps.apple.com/us/app/mah-jongg-tiles-solitaire/id479720743
[58]
Mah Jongg Tiles Solitaire - App Store - Apple
Rating 4.6 (703) · Free · iOSTwo new tile sets. "Brite" is a simplified version of classic Mah Jongg tiles with simple shapes and bright colors. "States" is a set containing the shapes ...Missing: blind | Show results with:blind
[59]
Mah Jong Tiles For The Sight-Impaired - Sloperama
There are three different approaches discussed herein: Big Numbers, Braille, and Color-Blindness tips. You can scroll down to read my tips on those.Missing: themes | Show results with:themes
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MAHJONG - Solitaire by MobilityWare
Mahjong Solitaire is a relaxing, logic-based game where you remove tiles by matching pairs of free tiles with the same picture.
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Top 13 Mahjong Apps for Android & iOS in 2025 (Both Free and ...
Jun 16, 2025 · Mahjong applications allow you to have the traditional tile game at your fingertips with different styles, modes, and levels of challenge.
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https://play.google.com/store/apps/details?id=com.gamovation.triplemahjong
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Mahjong Titans Game New - Download
May 24, 2023 · Master the tile-based game. Mahjong Titans Game New is a card and digital version of the traditional Chinese tile-based game called Mahjong.