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Tile-based game

A tile-based game is a type of game that employs small, discrete units known as tiles—either physical pieces or digital images—as fundamental elements of play, often used to build environments, represent objects, or drive mechanics like placement and matching.^[1]^[2] These games span both analog and digital formats, with traditional examples including Mahjong, a Chinese-origin game played with 144 tiles where players draw and discard to form winning sets,^[3] and dominoes, which use numbered tiles for matching and scoring.^[4] In board games, tile-based designs frequently involve strategic placement to create dynamic boards, as seen in titles like Carcassonne, where players lay landscape tiles to form connected features like roads and cities for scoring points.^[2] Other notable board game examples include Azul, which uses colored tiles to decorate a palace wall,^[5] and Tsuro, focusing on path-building with tiles to guide tokens safely.^[6] In video games, tile-based approaches are a staple of 2D development, using modular tiles from a shared atlas to efficiently construct levels and handle logic like collisions or pathfinding, optimizing performance by rendering only visible sections.^[1] Classic examples include Pac-Man and Super Mario Bros., which employ static tilemaps for maze and platform navigation, while more complex titles like The Legend of Zelda: Link's Awakening and StarCraft utilize layered tile systems for interactive worlds and strategy grids.^[1] Modern implementations often support scrolling maps, isometric perspectives, and multiple layers for depth, enabling genres from puzzle games like Tetris^[7] to roguelikes and city-builders such as SimCity 2000.^[1]^[8] The appeal of tile-based games lies in their modularity and replayability; tiles allow for combinatorial variety with limited components, fostering strategic depth in board games and scalable worlds in digital ones, while techniques like linked lists or atlases ensure efficient resource use in programming.^[2]^[1]^[8]

Definition and Fundamentals

Core Definition

A tile-based game is a category of games in which tiles—typically flat, rigid pieces such as squares, rectangles, or hexagons made from materials like wood, bone, plastic, or ceramic—serve as the primary playing components, manipulated by players through actions like matching, placing, or building to achieve objectives.^[9]^[10] These tiles bear fixed symbols, numbers, colors, or motifs on one or more faces, enabling structured gameplay centered on their combinations rather than free-form creation.^[9] Unlike card-based games, which use flexible paper rectangles that can be easily shuffled and fanned, or dice-based games that rely on polyhedral objects rolled to generate random numerical outcomes, tile-based games emphasize durable, non-flexible pieces with predefined values that resist bending and allow for stable stacking or alignment.^[9]^[10] This rigidity facilitates mechanics such as edge-matching or spatial arrangement, distinguishing tiles from the portability of cards or the probabilistic rolling of dice.^[10] Central to tile-based games are tile sets, consisting of a fixed number of tiles featuring unique combinations of symbols or values, such as the 28 pieces in a standard domino set ranging from double-blank to double-six.^[11] Gameplay loops typically involve drawing tiles from a pool or hand, placing them according to rules (e.g., matching adjacent edges), and discarding or rearranging as needed to form sets, runs, or structures.^[9] The term "tile" originates from Old English tigele, borrowed from Latin tegula meaning "roof-tile," reflecting the historical resemblance of game pieces to flat, covering slabs of baked clay or similar materials.^[12] In digital contexts, tile-based games extend this concept to virtual grids where tiles represent modular map sections or puzzle elements, as seen in 2D video game development techniques.^[1]

Key Components and Materials

Tile-based games rely on physical or digital tiles as their core elements, with materials varying by era and medium to ensure durability, tactile appeal, and ease of manipulation. Traditional physical tiles were often crafted from natural substances such as bone, ivory, or wood, providing a robust and weighted feel suitable for repeated handling; for instance, early domino tiles were made from cow bone or ivory, with pips typically painted or inlaid with ebony, while mahjong tiles employed similar bone or ivory bases dovetailed with bamboo.^[13]^[14] In contrast, modern physical tiles frequently utilize synthetic materials like plastics (e.g., ABS, polystyrene, or Bakelite) or high-density cardboard for cost-effectiveness and mass production, offering resistance to wear and moisture while maintaining a lightweight profile.^[15]^[16] Ceramic and wood remain options for premium sets, prized for their aesthetic and acoustic qualities during play.^[13] In digital implementations, tiles manifest as pixel-based or vector graphics arranged in grids, leveraging software rendering for scalability and animation without physical degradation; these virtual tiles use reusable image assets from tilesets to construct game environments efficiently.^[1] The anatomy of tiles typically includes a front face marked with symbolic elements—such as pips (dots), numerals, suits, or colors—to denote value or function—and a uniform back designed for concealment in draw mechanics, preventing premature revelation of information.^[17] Physical tiles are rectangular or square in form, with dimensions standardized for ergonomic handling; representative examples include domino tiles measuring approximately 2 inches long by 1 inch wide by 3/8 inch thick, allowing stable stacking and easy grip.^[18] Mahjong tiles, similarly, adhere to compact standards around 1 3/16 inches high by 7/8 inch wide by 1/2 inch thick for balanced playability.^[19] Supporting components enhance organization and gameplay flow in physical tile-based games, including racks or holders to support tiles upright for private viewing, draw bags (often nylon or cloth) for randomized selection, and scoring tracks or pads to monitor progress.^[20] These elements, typically made from plastic, wood, or fabric, ensure tiles remain hidden and accessible without direct table contact. Tile sets vary between fixed compositions for structured play and expandable ones for extended variety; a standard double-six domino set contains exactly 28 tiles, covering all combinations from double-blank to double-six, while larger sets like double-nine expand to 55 tiles to accommodate more players or complexity.^[21]^[22] This modularity allows adaptation while preserving the game's foundational balance.

Historical Development

Ancient and Traditional Origins

The earliest known tile-based games emerged in ancient China during the Song Dynasty (960–1279 AD), where bone and ivory tiles were used in precursor games to modern variants like mahjong. In 1120 AD, a set of 32 bone tiles known as Xuanhe Pai (or Xuan Huo Pai) was presented to Emperor Huizong, featuring domino-like pieces with 227 pips representing constellations and used in the trick-taking game Dou Tian Jiu, a form of which persists today as Tian Jiu Pai.^[23] These tiles, crafted from ox bone or ivory, marked an early shift from paper cards to durable physical components, influencing later gambling and strategy games in imperial settings. Dominoes, another early tile-based game, originated in China around the 12th century during the Song Dynasty, using rectangular tiles with pips for matching. They spread via trade routes to Europe, where they became popular in Italy by the 18th century and evolved into various regional variants. By the 12th–13th centuries, during the Southern Song period (1127–1279 AD), card games like Madiao—a four-suited trick-taking game played with 40 money cards depicting coins, strings, and myriads—evolved into tile-based formats, laying foundational mechanics for tile manipulation and matching.^[24] Madiao, originating in the Ming Dynasty (1368–1644 AD), specifically the late 15th century, but with roots in earlier Song-era innovations, involved strategic bidding and capturing, often as a gambling pursuit among elites.^[25] These games spread through trade routes, adapting in other cultures; in India, origins possibly dating to the 4th century CE, with documented evidence from the 16th century, Pachisi employed cowrie shells as movable markers on a cross-shaped board, simulating race mechanics with throws determining movement, akin to early tile positioning.^[26]^[27] In the Middle East, backgammon variants like Nard, traceable to Mesopotamian boards from around 3000 BC, utilized flat stone or bone markers as tile-like pieces for racing and blocking on triangular-pointed boards, with Persian influences emphasizing dice-driven strategy by the Sassanid era (224–651 AD).^[28] Similarly, in ancient Egypt, Senet—dating back to the predynastic period (c. 3500–3000 BC)—featured pawns (spool- and cone-shaped pieces) on a 30-square linear board, though its classification as tile-based remains debated due to the fixed board rather than modular tiles; it symbolized the soul's afterlife journey and was buried in tombs for the deceased.^[29] Tile games held significant cultural roles in ancient imperial courts, particularly in China, where sets like Xuanhe Pai served as status symbols among nobility and were tied to gambling rituals that reinforced social hierarchies and leisure among scholars.^[23] In these contexts, tiles facilitated not only entertainment but also displays of wealth and intellect, with Madiao often critiqued in elite discourse for promoting vice yet enduring as a courtly pastime.^[30]

Modern Evolution and Commercialization

The introduction of tile-based games to Western markets accelerated in the early 20th century, with mahjong experiencing a significant boom in the United States during the 1920s. This fad transformed the game from an exotic import into a nationwide sensation, driven by social clubs, fashion trends, and media coverage that positioned it as a glamorous pastime for the elite. By 1924, mahjong sets had become the sixth largest export from China to the U.S., reflecting its rapid commercialization and cultural appropriation.^[31]^[32] This surge prompted adaptations tailored to American preferences, including the development of American mahjong, which incorporated unique tiles like jokers and emphasized different scoring rules to suit Western players. Major publishers capitalized on the trend; Parker Brothers began distributing mahjong sets in 1924, producing large quantities to meet demand. Industrial advancements further supported this growth, as early plastics like Bakelite—introduced in the 1920s—replaced fragile bone and bamboo materials, offering greater durability and enabling affordable mass production of tiles.^[33]^[32]^[34] Beyond mahjong, the mid-20th century saw the emergence of non-Asian tile games, exemplified by Rummikub, invented in the 1940s by Romanian-born Ephraim Hertzano as a card alternative under communist restrictions on gambling. Handmade initially, it became the first widely mass-produced tile game of non-Asian origin when commercialized in Israel during the 1950s, spreading globally through family sales and eventual licensing. Commercialization continued into the late 20th and early 21st centuries with branded variants, such as Disney-themed Rummikub editions released in the 2000s, which integrated popular characters to appeal to younger audiences and expand market reach.^[35]^[36]^[37] The evolution toward digital formats began in the late 20th century, with early computer adaptations of tile games appearing in the 1980s. Pioneering versions, such as Brodie Lockard's 1981 PLATO system implementation of mahjong solitaire, translated physical tile-matching into software, laying the groundwork for interactive video game genres by simplifying mechanics for single-player computation. These innovations bridged traditional play with emerging digital entertainment, influencing the proliferation of tile-based puzzles on personal computers.^[38]^[39]

Physical Tile-based Games

Traditional Tile Games

Traditional tile games are physical games played with standardized sets of tiles, typically involving drawing, discarding, and matching to form sets or sequences without reliance on a fixed board. These games emphasize strategic hand-building and often originate from cultural traditions, fostering social interaction among players. Common examples include Mahjong, Dominoes, and Rummikub, each with distinct tile compositions and mechanics that prioritize meld formation over spatial placement.^[40]^[41] Mahjong, a game for four players, uses a standard set of 144 tiles divided into suited tiles and honors. The suited tiles consist of three categories—dots (circles), bamboo (sticks), and characters (numbers)—each with four copies of numbers 1 through 9, totaling 108 tiles. Honor tiles include four winds (east, south, west, north) with four copies each (16 tiles) and three dragons (red, green, white) with four copies each (12 tiles), plus eight bonus tiles (four flowers and four seasons). Players aim to form a winning 14-tile hand by drawing and discarding tiles, building four melds—such as a pon (three identical tiles), chi (three consecutive tiles in the same suit), or kong (four identical tiles)—plus one pair. The game proceeds in rounds, with players taking turns to complete their hand, often declaring a win upon drawing or claiming a discard that completes the required structure.^[40]^[42]^[43] Dominoes, playable by two to four players, employs a double-six set comprising 28 rectangular tiles, each marked with two halves showing pips from 0 (blank) to 6. Doubles feature matching numbers on both ends, such as [6|6], while non-doubles like [3|5] have different values. The core mechanic involves matching adjacent tile ends by number to form a chain, starting with a double or any tile. Popular variants include the block game, where players draw from a boneyard until unable to play and pass, ending when one player empties their hand; the draw variant, which requires drawing if no match is possible; and Mexican Train, which adds branching lines from a central double for multi-player expansion. Scoring often counts remaining pips in opponents' hands at the end of rounds.^[41]^[44] Rummikub, designed for two to four players, utilizes 106 tiles: two identical sets of numbers 1 through 13 in four colors (black, red, blue, orange), totaling 104 numbered tiles, plus two jokers that substitute for any tile. The objective is to meld all tiles by forming groups (three or four identical numbers in different colors) or runs (three or more consecutive numbers in the same color). An initial meld requires at least 30 points in total value from played tiles, after which players can rearrange existing table sets on subsequent turns to incorporate their hand. Jokers enhance flexibility but must match the position they represent if moved. The game concludes when one player has no tiles left, with penalties based on unplayed tiles' points.^[45]^[46] Cultural variants of Mahjong, such as Japanese Riichi Mahjong, adapt the core rules with distinct features to emphasize strategy and risk. Unlike the standard Chinese version, Riichi omits flower and season bonus tiles, reducing the set to 136 tiles, and employs a yaku system for scoring specific hand patterns that determine winning value. Key mechanics include the riichi declaration, a binding bet on an impending win that locks discards and adds urgency, alongside furiten (a prohibition on winning via self-discard after seeing a needed tile) and dora indicators for bonus points from matching tiles. These elements promote closed-hand play and defensive tactics, differing from the more open, bonus-heavy Chinese style.^[47]^[48]

Tile-based Board Games

Tile-based board games involve players collaboratively or competitively placing tiles on a central board to construct evolving landscapes, pathways, or architectural features, often with shared interaction influencing outcomes. These games emphasize spatial strategy, as tile placement connects or completes structures like roads, cities, or gardens, rewarding players for foresight in expansion and control. Unlike purely hand-managed tile sets, the board serves as a dynamic canvas where decisions impact all participants, fostering tension through feature completion and resource contention.^[49] A seminal example is Carcassonne, where players draw from a pool of 72 terrain tiles depicting combinations of cities, roads, fields, and cloisters to expand a medieval landscape on the shared board. Each tile must align logically with adjacent ones, such as matching road endpoints or city walls, and players may deploy meeples—small follower pieces—as occupants on unfinished features to claim future points. Scoring occurs immediately upon completing a feature: roads yield 1 point per tile, cities 2 points per tile, cloisters score 1 point for the cloister tile plus 1 point for each orthogonally adjacent tile (up to 9 points total if fully surrounded), and fields are tallied at game end, awarding 3 points per bordering completed city to the player with the majority of meeples in the field. The game ends after all tiles are placed, with the highest total score victorious, highlighting tactical meeple placement to block opponents or secure majorities.^[50] In Azul, players draft colorful tiles from shared factory displays to fill pattern lines on individual boards, simulating Portuguese azulejo tiling, though the central drafting mechanism creates indirect board interaction via tile availability. On a turn, a player selects all tiles of one color from a factory (or the center line) and distributes them to their board's rows, placing them sequentially from left to right; if a row fills, the tiles move to the player's wall section for scoring (1 point per tile plus bonuses for color sets and completed rows/columns). Excess tiles go to a floor line, incurring a -1 point penalty each at round's end, and completing a horizontal row grants a 2-point end-game bonus per such row. The game spans five rounds, ending with final scoring, where strategic drafting balances immediate gains against penalties and long-term pattern completion.^[51] Settlers of Catan incorporates hexagonal resource tiles as the fixed board foundation, where 19 terrain hexes (forests, hills, mountains, fields, pastures, and deserts) are arranged randomly around a central robber token, influencing settlement placement and resource production. Number tokens (2-12) on each hex determine production frequency when rolled, yielding resources to adjacent settlements or cities; for instance, a forest hex produces lumber, vital for roads and settlements. While the board is pre-assembled rather than built tile-by-tile, the hex tiles dictate strategic positioning for resource diversity and trade, with expansions like Seafarers adding modular tile placement for sea exploration. Victory requires 10 points through settlements (1 point), cities (2 points), longest road (2 points), or largest army (2 points).^[52] Other notable titles include Alhambra, where players use currency cards in four denominations to buy building tiles from a market and arrange them into a palace on their personal board, scoring based on tile cost values grouped by type (pavilions, chambers, etc.) during three scoring rounds. Tiles must connect orthogonally without rotation, and players may redesign by swapping reserve tiles, emphasizing economic timing in purchases over exact currency matches. Similarly, Takenoko uses 28 modular hexagonal garden tiles—green for bamboo plots, plus pink and yellow variants—to expand an imperial garden around a central pond, with players advancing a gardener, panda, or emperor figure to fulfill objective cards like growing specific bamboo heights or enclosing enclosures. Tiles are drawn and placed adjacent to existing ones, potentially irrigated via channels, and non-rectangular hex shapes allow flexible terrain shaping, as explored further in tile configuration variations.^[53]^[54]

Digital Tile-based Games

Tile-based Video Games

Tile-based video games employ grid-based structures, known as tilemaps, to define environments, facilitate character movement, and handle interactions in digital spaces. These systems represent levels as two-dimensional arrays where each cell corresponds to a tile—a small, reusable graphic element, typically 8x8 or 16x16 pixels in early implementations—allowing efficient rendering and memory usage on limited hardware. For instance, layers within tilemaps separate visual elements like backgrounds, foregrounds, and collision boundaries, enabling complex scenes without storing every pixel individually. This approach originated in arcade and console games of the late 1970s and 1980s, where hardware constraints favored modular designs over freeform graphics. In Pac-Man (1980), the game's maze is constructed from an 8x8 pixel tile grid spanning 28 by 36 tiles, with static mappings for walls, paths, and pellets rendered via the arcade board's graphics hardware. This tile-based layout not only optimized display updates but also simplified AI pathfinding for ghosts navigating the predefined corridors. Similarly, platformers like Super Mario Bros. (1985) utilized scrolling tile worlds on the Nintendo Entertainment System (NES), where the Picture Processing Unit (PPU) supported horizontal and vertical scrolling of tiled backgrounds composed of 16x16 metatiles, each consisting of four 8x8 tiles, creating seamless side-scrolling levels from modular blocks like bricks and pipes.^[55]^[56] Role-playing games (RPGs) also leverage tile grids for exploration, as seen in Pokémon Red and Green (1996), where the overworld is a connected network of tile-based maps for trainer navigation, battles, and town interactions, with each region built from reusable terrain tiles like grass and water.^[57] Technical variations include isometric projections, employed in SimCity (1989) to render city-building simulations on a diamond-shaped tile grid, providing a pseudo-3D view of zoned areas, roads, and structures without full 3D computation. Procedural generation further enhances replayability; Rogue (1980) dynamically assembles dungeon levels by placing rectangular rooms on a tile grid and connecting them with random corridors, using ASCII characters as tiles to represent floors, walls, and items on early computer displays.^[58]^[59] Modern titles continue to refine these foundations for precise gameplay. Celeste (2018), a precision platformer, builds its challenging levels on an 8x8 pixel tile grid, integrating collision detection and momentum-based physics directly with the tilemap to enable tight controls and environmental interactions like dashable platforms. This tile-based precision allows for intricate level design that emphasizes player skill, while maintaining performance efficiency across platforms. Such systems persist due to their scalability, influencing indie and AAA development alike.^[60]

Tile-matching Puzzle Games

Tile-matching puzzle games constitute a prominent subgenre of digital tile-based games, where players manipulate tiles on a grid to form alignments of identical symbols, causing them to disappear and often triggering chain reactions for scoring. The core mechanic typically involves swapping adjacent tiles to create matches of three or more in a row, horizontally or vertically, as seen in games like Candy Crush Saga (2012), developed by King, where players align colorful candies to clear them from the board, with cleared spaces allowing upper tiles to cascade down and potentially form additional matches. This swap-based system emphasizes spatial planning and quick decision-making, with matches removing tiles to prevent board overflow and accumulate points. Variants expand on this foundation, including collapse-style games like SameGame (originally Chain Shot!, 1985), created by Kuniaki Moribe for the Fujitsu FM-8/7, where players select and remove groups of two or more contiguous tiles of the same color, causing overlying tiles to drop and fill gaps without swapping.^[61] Physics-based iterations, such as Puzzle Bobble (also known as Bust-A-Move, 1994) by Taito, introduce projectile mechanics, requiring players to shoot colored bubbles at a clustered formation to match three or more, with gravity and collisions adding unpredictability to alignments.^[62] These variants shift focus from direct swapping to group selection or aiming, broadening accessibility while retaining the satisfaction of progressive board clearance. Game progression in tile-matching puzzles often structures play into levels with specific objectives, such as clearing a set number of tiles, achieving a target score, or resolving board obstructions within limited moves, as exemplified in Candy Crush Saga, which incorporates escalating difficulty through obstacles like chocolate or licorice and collectible goals. Power-ups, such as bombs that clear surrounding tiles or color bombs that eliminate all instances of a hue, provide strategic depth and aid in overcoming challenges, often earned through special matches like four-in-a-row.^[63] The genre's evolution traces back to precursors like Tetris (1984) by Alexey Pajitnov, which featured falling tetromino tiles matched into complete lines for removal, laying groundwork for spatial matching without swaps. This progressed to swap mechanics in titles like Bejeweled (2001) by PopCap Games, which popularized gem-matching for three or more and influenced endless modes, eventually leading to level-based, monetized experiences in modern match-3/4/5 games.^[64]^[65]

Variations in Tile Design

Rectangular and Grid-based Tiles

Rectangular tiles form the foundational design in many tile-based games, characterized by their elongated or near-square proportions that facilitate linear and grid alignments. In dominoes, tiles are typically rectangular with a 2:1 aspect ratio, measuring approximately twice as long as they are wide to allow end-to-end matching of pips along their edges.^[11] Mahjong tiles, while slightly rectangular at standard dimensions of about 34 mm in length by 24 mm in width, approximate a compact form that supports dense stacking and adjacent placements in gameplay layouts.^[66] These shapes enable grid-based alignment, where tiles connect orthogonally—sharing full edges—for adjacency matching, ensuring precise value correspondence without overlap or gaps.^[67] The advantages of rectangular and grid-based tiles lie in their practicality for both physical and digital implementations. Physically, their uniform dimensions allow easy stacking into stable walls or piles, as seen in mahjong setups where tiles form interlocking barriers, and they fit seamlessly into bounded play areas like boards without requiring irregular cuts or adjustments.^[40] In digital contexts, rectangular tiles align perfectly with screen grids, simplifying rendering and interaction; for instance, axis-aligned bounding boxes (AABBs) enable efficient collision detection by checking overlaps along cardinal axes, reducing computational overhead in tile-placement mechanics.^[68] This uniformity also supports modular board construction, where tiles snap into predefined slots to maintain structural integrity during play. Examples of rectangular tiles in action highlight their role in structured gameplay. In Rummikub, players form runs and sets by placing rectangular tiles orthogonally—horizontally or vertically adjacent—to match numbers and colors, creating linear sequences on a shared grid. Digitally, early 8-bit video games like those on the Nintendo Entertainment System relied on pixel-perfect rectangular grids, often 8x8 pixels per tile, to tile backgrounds and levels efficiently within hardware constraints, reusing assets to build expansive environments.^[69] Such placements emphasize adjacency rules, where tiles interact only along aligned edges to trigger matches or movements. Despite these benefits, rectangular grid-based tiles can introduce limitations through their inherent predictability. The orthogonal structure often generates repeating patterns that players can anticipate, leading to solvable strategies in games like certain domino variants, where optimal tilings follow mathematical sequences rather than introducing variability.^[70] While deviations from strict rectangular forms offer more geometric diversity in advanced designs, the grid's simplicity remains a cornerstone for accessible tile-based play.^[71]

Non-Rectangular Tile Configurations

Non-rectangular tile configurations in tile-based games deviate from standard square grids by employing shapes such as hexagons, triangles, or irregular polyforms, which alter connectivity, movement, and spatial strategy. These designs often enhance gameplay by introducing more natural directional options and complex fitting mechanics, contrasting with the four-directional limitations of rectangular tiles.^[72] Hexagonal tiles provide six-directional adjacency, enabling richer path-building and encirclement tactics compared to the four directions in square-based systems. In Tantrix, a strategy game invented in 1988 by Mike McManaway, players use 56 hexagonal tiles each featuring three colored curve lines to form continuous paths or loops, emphasizing edge-matching for color continuity.^[73]^[74] This configuration increases strategic depth through multi-directional expansions, as seen in solitaire puzzles or multiplayer blocking.^[75] Polyominoes, irregular shapes formed by connecting multiple squares, introduce asymmetry and rotational variability that demand precise spatial planning. Tetris employs seven tetrominoes—each comprising four orthogonally connected squares in distinct configurations like the straight I-piece or skewed S-piece—for falling-block puzzles where players rotate and position them to complete lines.^[76] Similarly, Blokus utilizes 21 unique polyomino pieces per player, ranging from monominoes to pentominoes, placed on a shared board where adjacency is restricted to corners of matching colors, fostering territorial competition.^[77] Irregular tile shapes further diversify gameplay by mimicking organic forms or puzzle silhouettes. Ubongo features tangram-like polyomino tiles that players race to fit into predefined patterns on individual boards, promoting quick visuospatial problem-solving.^[78] In Hive, insect-shaped hexagonal tiles—representing ants, beetles, grasshoppers, spiders, and a queen bee—allow unique movements inspired by real insect behaviors to encircle the opponent's queen, creating a dynamic, boardless hive structure.^[79] These configurations present challenges such as rotational fitting, where tiles must be oriented correctly to interlock without gaps, and edge-matching complexity, which enforces strict adjacency rules and elevates computational difficulty. Such mechanics, as analyzed in studies on rotation puzzles, render optimal solutions NP-hard, thereby amplifying strategic foresight and replayability.^[75]^[80]

Common Mechanics and Strategies

Placement and Matching Rules

In tile-based games, placement rules govern how players acquire and position tiles on a board or personal area, while matching rules dictate the valid ways tiles can connect or form groups to advance gameplay. These mechanics vary by game format but share core principles of adjacency and compatibility to ensure strategic depth and fairness. For instance, players typically draw or select tiles before placing them according to spatial or logical constraints, with mismatches often resulting in no action or corrective measures.^[81] Placement often involves drawing tiles from a central pool, such as the draw wall in mahjong, where players sequentially take tiles from the end of a stacked wall to maintain a hand of 13 tiles, drawing one additional tile per turn before discarding.^[40] In drafting systems like Azul, players select tiles from shared factory displays—picking all of one color from a display or the center—then place them contiguously in a single row on their personal board, limited to the number taken in that action.^[82] Freeform building, as in Carcassonne, allows players to draw a tile from a face-down stack and place it adjacent to existing tiles on the board, ensuring that roads, cities, and fields align seamlessly with neighboring segments.^[50] Matching criteria emphasize specific attributes for valid connections, such as numerical values in dominoes, where tiles must be placed end-to-end so that abutting halves share the same number of pips, forming a linear chain that continues until no further matches are possible.^[4] In Rummikub, tiles form melds either as groups of three or more with identical numbers but different colors or as runs of three or more consecutive numbers in the same color, allowing rearrangement of existing melds to incorporate new tiles from a player's hand.^[83] Pattern-based matching appears in games like Tantrix, where hexagonal tiles connect via colored lines on their edges, requiring adjacent lines to match in color to form continuous paths or loops without breaks.^[84] Constraints on placement include hand size limits, such as the fixed 13-tile hand in mahjong, where exceeding this through draws triggers an immediate discard to restore balance.^[85] Board boundaries enforce adjacency rules, as in Carcassonne, where new tiles cannot extend beyond the play area or disconnect features improperly. Rotation is permitted in many designs, notably Blokus, where polyomino tiles may be rotated in 90-degree increments or flipped to fit corner-to-corner with same-color pieces while avoiding side contact.^[86] Universal rules across tile-based games include concealment during draws, where tiles are selected face-down from pools to prevent previewing, as in mahjong's walled stack or Carcassonne's shuffled draw pile, preserving uncertainty and strategy. Penalties for invalid plays, such as joker misuse in Rummikub—where a joker cannot be separated from a meld without immediate replacement—typically require the offending tile to be returned to the hand or pool without further action, or in some cases, issuance of a penalty tile draw.^[40]^[87] These elements ensure gameplay integrity, with enforcement often left to player consensus or official rule clarifications.^[88]

Scoring, Winning Conditions, and Tactics

In tile-based games, scoring systems vary widely but often revolve around point accumulation based on completed formations or strategic placements. In mahjong variants such as Chinese Official rules, players score points for forming specific hand patterns known as fan, with a minimum of eight points required to declare a win; these can range from simple sequences worth one point to complex hands like all triplets valued at six or more points, culminating in high-value combinations up to 88 points in some scoring tables.^[89]^[90] In area-control games like Carcassonne, points are awarded for completing features: roads yield one point per tile, cities provide two points per tile plus two additional points per pennant (shield icon), and cloisters score nine points when fully surrounded by eight adjacent tiles.^[50]^[91] Winning conditions emphasize efficient tile depletion or objective fulfillment, often ending a round or game decisively. In Rummikub, the first player to meld all tiles from their rack by forming sets (groups of three or more same-numbered tiles in different colors) or runs (sequential numbers in the same color) declares victory, scoring the total value of opponents' remaining tiles while subtracting their own if any remain.^[45] Domino block-out variants conclude with the first player emptying their hand as the winner, or, if play blocks with no legal moves, the player or team holding the lowest total pips (dots) on unplayed tiles prevails.^[92] In digital tile-matching games like Candy Crush Saga, levels end successfully upon meeting targets such as collecting a set number of specific candies, clearing jelly tiles, or achieving a minimum score within a move limit, with failure resulting in lost lives.^[93] Tactics in tile-based games involve balancing immediate gains with opponent disruption, often incorporating elements of deception and foresight. In concealed-hand mahjong, players employ bluffing by discarding safe tiles to mislead opponents about their forming fan, while hoarding versatile honor tiles denies rivals key combinations.^[94] Carcassonne strategies focus on tile denial through placement that blocks opponents' meeples (followers) from completing high-value features, alongside long-term planning to position for unfinished elements scored at game end.^[2] In Rummikub, reserving jokers for critical manipulations allows players to rearrange shared melds, enabling sudden rack clearance while anticipating others' potential blocks.^[83] Risk elements introduce probabilistic tension, particularly in draw-dependent mechanics. For instance, in a double-six domino set of 28 tiles, the chance of drawing a double (one of seven such tiles) is 1/4, influencing decisions on whether to play aggressively or conserve for potential blocks.^[95]

References

[1]
Tiles and tilemaps overview - Game development - MDN Web Docs
Jul 11, 2025 · Tilemaps build game worlds from small, regular tiles, improving performance. They can be mapped to a logical grid for game logic and level ...
[2]
Ultimate Guide to Tile Placement Games - Brain Games Publishing
Feb 18, 2025 · Tile placement games are board games where players strategically place tiles to form patterns, build layouts, or achieve objectives.
[3]
[PDF] The mahjong package - CTAN
Jan 6, 2025 · Mahjong is a tile-based game originating from China which is popular in East and South-. East Asia and has since spread throughout the world ...<|control11|><|separator|>
[4]
Top 15 Tile Placement Games & 2 New Knizia Games Revealed
Sep 12, 2023 · Top 15 Tile Placement Games + Two New Knizia Games Revealed! · Samurai · Azul · Ingenious / Axio · Orongo · A Feast for Odin · Through the Desert / ...
[5]
Jason's Article on Tile Graphics - Stanford
... tile-based game is plotting the landscape and its inhabitants. Well, I will assume that you have several routines already: A) Plot a 16x16 tile, without ...
[6]
Tile Games Index - Pagat.com
Jun 14, 2020 · Overview of games that use tiles rather than playing-cards: domino games, games with rummy tiles and games with mah jong tiles.
[7]
Board Game Pieces Overview - Hero Time
Tiles are hexagonal or square pieces that are either placed directly on top ... For board games, cards are typically rectangular or square in shape. We ...
[8]
Domino Games
### Summary of Domino Tile Shapes and Placement in Grids or Lines for Matching
[9]
Tile - Etymology, Origin & Meaning
Tile originates from Old English tigele, from Latin tegula meaning "roof-tile," derived from tegere "to cover." It means a thin slab of baked clay for ...Missing: games | Show results with:games
[10]
Tile Set Materials
Tiles were produced as a solid block, or as a wafer glued onto a wood or fibre base. They are typically hard, sharp-edged, shiny and slightly distorted.
[11]
Dominoes Design: Timeless Icon of Play and Culture
European Dominoes: When the game reached Italy in the 18th century, dominoes became more standardized. They were crafted from wood and bone, with pips often ...
[12]
Domino Tiles(Deck/Pack): Components, Specifications & How it's ...
May 19, 2022 · The modern domino tiles are made from various synthetic materials such as ABS, polystyrene plastics, Bakelite and phenolic resins. These ...
[13]
Guide to Board Game Materials - Hero Time
In this guide, we'll explore the different materials commonly used in board games, from paper to wood and plastic, with an in-depth look at key metrics like ...
[14]
How to play Domino - On-Site Cigars Entertainment
A common domino size is about 2 inches long, 1 inch wide, and 3/8 inch thick – small enough to be held comfortably in the hand, but large enough to be ...
[15]
https://sportsmatik.com/sports-corner/sports-equipage-detail/domino-tiles-deck-pack
[16]
https://herotime1.com/manufacturing/guide-to-board-game-materials/
[17]
MindWare Qwirkle Bonus Pack, Board Game Expansion ...
30-day returnsQwirkle classic game You'll get a durable metal storage box, four sturdy tile racks, a score pad, and a pencil—everything you need to organize tiles and track ...
[18]
https://www.mexicantrainfun.com/blog/what-are-the-different-sizes-for-dominoes/
[19]
How Many Dominoes Are in a Set? - VIP Games
It comprises 55 tiles, ranging from 0 to 9 pips on each half. The total number of pips in the set is 330. This set allows for more complex domino games due to ...Double-6 set · Double-9 set · Double-12 set · Double-15 set<|control11|><|separator|>
[20]
faq 11. history of mahjong - Sloperama
1120 [China] Bone tiles (Xuan Huo Pai) were presented to Emperor Hui Tsung (reign: 1100 - 1125). (Source: MJM) This is probably the same 32-piece set of ...
[21]
faq 11. history of mahjong - Sloperama
Widely regarded as an important progenitor of mah-jongg is Matiao, or Ma Diao (Chinese dialectual differences, and English transliteration differences, account ...
[22]
https://vipgames.com/blog/how-many-dominoes-are-in-a-set/
[23]
Top 10 historical board games | British Museum
Feb 26, 2021 · Egypt, 1400–1200BC. Beloved by Tutankhamun and Queen Nefertari alike, senet is one of the earliest known board games, dating to around 3100 BC.Missing: pre- | Show results with:pre-<|separator|>
[24]
History Of Backgammon - bgammon.org
Jan 15, 2024 · Backgammon's history spans 5,000 years, with ancestors like Royal Game of Ur, Nard, and Irish, which is the closest to modern backgammon.
[25]
Senet and Twenty Squares: Two Board Games Played by Ancient ...
Jul 19, 2017 · The original tiles and fragments were found in an ancient Egyptian tomb along with game pieces shaped like cones and spools. They are made of ...Missing: pre- 3000
[26]
Madiao and Mahjong in Popular Culture and Elite Discourse
Aug 10, 2025 · A typical interpretation was to refer to the game to exemplify the Chinese egocentricity, disunity, and lack of cooperative spirit. Closely tied ...
[27]
Performing Mahjong in the 1920s - jstor
5 By 1924 mahjong sets were the sixth largest export to the United States ... 1923, Mah- Jongg Sales Company Scrapbook 2, Parker Brothers Archive (hereafter.
[28]
[PDF] board games and America's cold war culture, 1945-1965
Mahjong, a Chinese game with a long history in its native country, appeared in the United States in the early 1920s. By 1924 it was a national passion on a.
[29]
What the Surprising History of Mah-jongg Can Teach Us | TIME
May 4, 2021 · The history of mah-jongg can tell us a lot about modern America's swiftly changing cultural climate, explains a scholar who studies the ...
[30]
Bakelite sets » - Vintage Mahjong
Bakelite is a plastic, invented by Leo Baekeland in 1907 and popular in the early 1900's, since it was one of the first of its kind, cheap and easily available.
[31]
History - Rummikub
The game started as a brilliant idea that had occurred to Mr. Hertzano, living in Romania, when card-playing was outlawed under the Communist regime.
[32]
How A Funny Jewish Game Called Rummikub Became An ...
Mar 19, 2017 · Rummikub is a rummy-style card game, but with tiles. The goal is to clear all the tiles from your rack.
[33]
https://time.com/6045817/mahjongg-history/
[34]
The Origins and Development of Computer Mahjong | The Startup
Dec 18, 2020 · It is undisputed that the computer version of the game was created in 1981 by a programmer named Brodie Lockard, first on the PLATO software ...
[35]
Games on krone.at - The digital transformation of Mahjong
Aug 2, 2024 · First digital versions: With the advent of computers in the 1980s, the first digital mahjong games emerged. These early versions stuck ...
[36]
https://forward.com/culture/366013/how-a-funny-jewish-game-called-rummikub-became-an-international-sensation/
[37]
How to play Dominoes
The traditional set contains 28 tiles, each representing a possible combination of the numbers between 0 and 6. This type of domino set is called a Double-six.Sets · Tiles · How To Play
[38]
MAH-JONGG BASICS - Sloperama
Players draw and discard tiles to build a 14-tile hand with four groups of three (three-of-a-kind or three-in-a-row) and a pair. Tiles are in three suits and ...
[39]
Understanding The Makeup of the Tiles in Your Mahjong Set
Mahjong tiles include three suits (Dots, Bams, Craks), two honor tiles (Dragons, Winds), and typically eight Flowers. Jokers are also needed for some rules.
[40]
Double six dominoes: Game Rules & How to Play| eTeamBuilding
Oct 26, 2022 · There are 28 tiles in a set of double six. All tiles, except the doubles, belong to 2 suits. The rule is not to count them twice. The tiles are ...
[41]
[PDF] 2600-English-1.pdf - Rummikub
There are two jokers in the game. Each joker can be used as any tile in a set, and its number and color are that of the tile needed to complete the set. On ...
[42]
Rummikub Game Rules - How to Play Rummikub Tile Rummy
The goal of Rummikub is to form groups or runs of different tile combinations in order to get rid of all your tiles or as many tiles as possible.
[43]
A Beginner's Guide to Riichi Mahjong
Riichi mahjong does not use the flower or season tiles found in Chinese sets, nor the joker tiles used in American Mah Jongg. As an optional rule, riichi ...
[44]
https://www.eteambuilding.org/double-six-dominoes/
[45]
Carcassonne - Z-MAN Games
Carcassonne is a tile-laying game where players place tiles to build a board and add followers, scoring points by completing features. Followers have different ...
[46]
[PDF] rules for Carcassonne - Z-MAN Games
Players place tiles to develop the area, placing meeples on them to score points. The goal is to have the highest score after the final scoring.
[47]
[PDF] Azul Rulebook
The player with the most points on her score track wins the game. In the case of a tie, the tied player with more complete horizontal lines wins the game.
[48]
[PDF] Game Rules - CATAN
If you have 2 or 3 settlements bordering that hex, you receive 1 resource card for each settlement. You receive. 2 resource cards for each city you own that ...
[49]
[PDF] Rulebook
This extension contains four additional modules for the original game (the Palace of Alhambra); they can be used either singly or in any combination. All rules ...
[50]
[PDF] TAKENOKO_rulebook_EN.pdf - Bombyx
Jun 11, 2020 · Players grow bamboo on land plots, irrigate them, and feed a panda. The player who grows the most bamboo and manages their land best wins.
[51]
[PDF] Pac Man Design Document - Columbia CS
a tile-based rendering system. The VGA display is divided into a fixed 8×8 pixel grid, and each grid cell displays a predefined tile stored in on-chip ROM.Missing: 1980 | Show results with:1980
[52]
The long shadow of Super Mario Bros. - Game Developer
Sep 10, 2015 · With a clever visual cue, Nintendo exposed the tile-based framework lurking beneath its platformers' exteriors. Old-timers and pixel art ...
[53]
Miyamoto Explains How Super Mario Bros. World 1-1 Was Created
Sep 14, 2025 · Pac-Land was simply beautiful to behold and scrolled fairly cleanly in one direction, but the layout of the levels was haphazard and frustrating ...
[54]
World Design in Video Games and Why It Works, from Pokémon to ...
Mar 16, 2024 · For a game that came out in 1996, manipulating the map to nudge the player into discovering the interconnectedness of the different parts of ...
[55]
Building a Micropolis: SimCity in 1989 - Socks Studio
Jul 20, 2015 · SimCity was released in its first version only in 1989. The Mac Os port was the only one featuring glorious black and white axonometric projections.
[56]
Rogue - Procedural Content Generation Wiki
May 5, 2016 · The Rogue dungeon generation algorithm generates a random new level every time the player descends a set of stairs - described in detail by Mark ...
[57]
Celeste and TowerFall Physics - Maddy Thorson - Medium
May 2, 2020 · It's a very simple system that I arrived at after about a decade of experimenting with tile-based platformers. ... 'Celeste' releasing January ...
[58]
Bejeweled - The Strong National Museum of Play
Bejeweled challenged players to swap colorful jewels to form vertical or horizontal chains of three or more gems of the same color. Matched gems then ...
[59]
Games and AI Group - Maastricht University
SameGame is a puzzle game originally invented as Chain Shot! in 1985 by Kuniaki Moribe (Morisuke), which was distributed for Fujitsu FM-8/7 series.
[60]
Puzzle Bobble - Videogame by Taito | Museum of the Game
Puzzle Bobble was produced by Taito in 1994. Taito released 488 machines in our database under this trade name, starting in 1967. Taito was based in Japan.
[61]
Match3 – Meta Layers and Matching Types - GameRefinery
In Candy Crush Saga, players swap candies to victory. Collapse. Collapse (also commonly used term is Blasting) is a mechanic popularized in Match3 by games like ...
[62]
A History of Matching tile Games: Am I Missing Something?
Jun 20, 2006 · The following tree is an attempt at illustrating the lineages of gameplay innovations from roughly Tetris to Chuzzle. For each game you can see ...Missing: Candy Crush
[63]
Mahjong Sizes: Explore Various Tile Dimensions & Measurements
Jul 24, 2025 · Japanese mahjong tiles are characterized by their compact size, with standard dimensions ranging from 25mm to 27mm in height and approximately ...Missing: anatomy | Show results with:anatomy
[64]
Domino Connecting Games - Pagat.com
Oct 28, 2020 · Connecting games are what most people think of as typical domino games. Tiles are laid according to a matching rule, normally end to end or side to side.
[65]
3D collision detection - Game development - MDN Web Docs
Jul 11, 2025 · As with 2D collision detection, axis-aligned bounding boxes (AABB) are the quickest algorithm to determine whether the two game entities are ...
[66]
2D Pixel Perfect: How to set up your Unity project for retro 8-bit games
Mar 13, 2019 · The artwork in any retro console is stored in the game as 8x8 px tiles. Using this tile-based approach allows artists to save space by reusing ...
[67]
Notes on Procedural Map Generation Techniques - Christian Mills
Dec 9, 2021 · Rogue (1980):. One of the first examples of procedural generation. Used simple room placement and random corridors to keep game size small.
[68]
Grids in Games: Scale and Shape - Game Developer
Grids of tiles in games can represent vastly different scales, and be arranged in many different ways. An overview, and some untried ideas.
[69]
Hexagonal Grids - Red Blob Games
Mar 11, 2013 · This guide will cover various ways to make hexagonal grids, the relationships between different approaches, and common formulas and algorithms.Coordinate Systems# · Movement Range# · Hex To Pixel#Missing: squares advantages
[70]
What is Tantrix?
Tantrix is a visual-spacial strategy game and puzzle for 1 to 4 players. It was created in 1988 by former New Zealand backgammon champion Mike McManaway ...Missing: invention | Show results with:invention
[71]
Tantrix | Board Game - BoardGameGeek
In stock Rating 3.2 (2,315) Tantrix is a strategy game using painted synthetic resin hexagons (often mistakenly thought to be Bakelite). It was invented in New Zealand.
[72]
TantrixTM rotation puzzles are intractable - ScienceDirect.com
In a rotation puzzle the position of the tiles is given, and the only possibility to make them fit is to rotate them. Although this may seem restrictive, we ...Missing: rectangular | Show results with:rectangular
[73]
Tetromino -- from Wolfram MathWorld
A tetromino is a 4-polyomino. There are five free tetrominoes, seven one-sided tetrominoes, and 19 fixed tetrominoes.<|separator|>
[74]
Classic Blokus Board Game - Mattel
Players place 21 pieces, touching only corners of same color. The goal is to fit the most pieces. The player with the lowest remaining pieces wins.
[75]
Ubongo! Fun-Size Edition Game Review - Meeple Mountain
Apr 22, 2020 · Ubongo! Fun-Size Edition is an abstract speed game in which players race to complete tangram-like puzzles using polyominoes (Tetris-shaped pieces).<|separator|>
[76]
Hive - Gen42 Games
Hive is an award-winning board game with a difference. There is no board. The pieces are added to the playing area thus creating the board.
[77]
[PDF] Even 1 × n Edge-Matching and Jigsaw Puzzles are Really Hard - arXiv
Dec 31, 2016 · In unsigned edge-matching puzzles, edge labels are arbitrary, and the requirement is that adjacent tiles must have identical edge labels. In.
[78]
Tile Placement | Board Game Mechanic - BoardGameGeek
Tile Placement games feature placing a tile (or similar piece) to score VPs or trigger actions. Typically, the way the tiles are arranged matters in one or two ...
[79]
How to Play Azul - Official Game Rules
Azul is a beautifully crafted strategy board game where players take turns selecting colored tiles to complete patterns and score points.
[80]
The Basics - Domino Rules
In many domino games, a line of tiles is formed on the table as players make their plays, usually, but not always, by matching the pips on the open end of the ...
[81]
Rummikub® - Tile Game Rules - Pagat.com
Aug 31, 2020 · Rummikub is a group of tile rummy games, played with a set of 106 coloured and numbered tiles. They were introduced to Western Europe and America.
[82]
How to play Tantrix | Official Rules - UltraBoardGames
Whenever tiles touch, the colors of the connecting links must be of the same color - they must match! "Match" is the golden rule of Tantrix. Gobble. A gobble is ...
[83]
Hong Kong Mahjong Rules
Each player starts with 13 tiles. With each turn, a player picks up a 14th tile, and then discards one tile face up in the center of the table. At this point, ...
[84]
Blokus Rules and Instructions - How Blokus Works - Entertainment
Mar 21, 2012 · Two rules govern placement of pieces: You must position your piece so that it touches another piece of your same color.Missing: rotation | Show results with:rotation
[85]
https://www.mahjongtime.com/hong-kong-mahjong-rules-2.html
[86]
Rules for an incorrect tile placement - BoardGameGeek
Jul 22, 2025 · The rules say that if you accidentally make an incorrect tile placement (e.g. place two green tiles next to each other), it has to be corrected, ...Illegal Tile PlacementIllegal move found three turns laterMore results from boardgamegeek.com
[87]
Chinese Official Mahjong Scoring Rules - PlayMahjong.io
If a player wins, all players must automatically give 8 points to the winner. Additional points equal to the value of the winning hand must be given by: The ...
[88]
How to Score in Mahjong | 247 Solitaire
This system uses a points-based system built from a catalog of scoring elements (often called the "81 patterns"). To win, your hand must total at least 8 points ...<|separator|>
[89]
How to play Carcassonne: board game's rules, setup and scoring ...
Apr 5, 2023 · Scoring phase · A road gives you one point per tile used to complete it. · A city gives you two points for each tile used to complete it and two ...
[90]
Block - Domino Rules
The first player to get rid of all dominoes announces "Domino!" and wins the game. If none of the players can make a play, the game ends in a block. If a game ...
[91]
Candy Crush Guide - IGN
Feb 25, 2013 · There are variations on winning conditions of a board; either on points, item cleared, or within a certain time limit, etc.
[92]
https://www.dominorules.com/block
[93]
What is the probability of drawing a “double” from a set of dominoes?
May 8, 2020 · The probability of drawing a double from a set of dominoes is 1/4, as there are 7 double tiles out of 28 total tiles.