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A hex map, hex board, or hex grid is a
game board A game board (or gameboard; sometimes, playing board or game map) is the surface on which one plays a board game. The oldest known game boards may date to Neolithic times; however, some scholars argue these may not have been game boards at all. ...
design commonly used in
simulation games Simulation video games are a diverse super-category of video games, generally designed to closely simulate real world activities. A simulation game attempts to copy various activities from real life in the form of a game for various purposes such ...
of all scales, including
wargame A normal wargame is a strategy game in which two or more players command opposing armed forces in a simulation of an armed conflict. Wargaming may be played for Recreational wargaming, recreation, to train military officers in the art of milit ...
s,
role-playing game A role-playing game (sometimes spelled roleplaying game, or abbreviated as RPG) is a game in which players assume the roles of player character, characters in a fictional Setting (narrative), setting. Players take responsibility for acting out ...
s, and
strategy game A strategy game or strategic game is a game in which the players' uncoerced, and often autonomous, decision-making skills have a high significance in determining the outcome. Almost all strategy games require internal decision tree-style think ...
s in both
board game A board game is a type of tabletop game that involves small objects () that are placed and moved in particular ways on a specially designed patterned game board, potentially including other components, e.g. dice. The earliest known uses of the ...
s and
video game A video game or computer game is an electronic game that involves interaction with a user interface or input device (such as a joystick, game controller, controller, computer keyboard, keyboard, or motion sensing device) to generate visual fe ...
s. A hex map is subdivided into a
hexagonal tiling In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of or (as a Truncation (geometry), truncated triangular tiling ...
, small regular
hexagon In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A regular hexagon is de ...
s of identical size.


Advantages and disadvantages

The primary advantage of a hex map over a traditional
square grid In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane consisting of four squares around every vertex. John Horton Conway called it a quadrille. Structure and properties The square tiling ...
map is that the distance between the center of each and every pair of adjacent hex cells (or ''hexes'') is the same. By comparison, in a square grid map, the distance from the center of each square cell to the center of the four diagonal adjacent cells it shares a corner with is times that of the distance to the center of the four adjacent cells it shares an edge with. This equidistant property of all adjacent hexes is desirable for games in which the measurement of movement is a factor. The other advantage is the fact that neighbouring cells always share edges; there are no two cells with contact at only a point. One disadvantage of a hex map is that hexes have adjacent cells in only six directions instead of eight, as in a square grid map. Commonly, cells will form continuous straight lines "up" and "down", or "north" and "south", in which case the other four adjacent cells lie "north-west", "north-east", "south-west" and "south-east". As a result, no hex cell has an adjacent hex cell lying directly east or west of it, making "horizontal" movement in a straight line impossible. Instead, paths in these directions, and any other path that does not bisect one of the six cell edges, will "zig-zag"; since no two directions are
orthogonal In mathematics, orthogonality (mathematics), orthogonality is the generalization of the geometric notion of ''perpendicularity''. Although many authors use the two terms ''perpendicular'' and ''orthogonal'' interchangeably, the term ''perpendic ...
, it is impossible to move forward in one direction without moving backwards slightly in the other. Games that traditionally use the four
cardinal direction The four cardinal directions or cardinal points are the four main compass directions: north (N), south (S), east (E), and west (W). The corresponding azimuths ( clockwise horizontal angle from north) are 0°, 90°, 180°, and 270°. The ...
s, or otherwise suit a square grid, may adapt to a hex grid in different ways. For example,
hexagonal chess Hexagonal chess is a group of chess variants played on boards composed of hexagon . The best known is Gliński's variant, played on a symmetric 91-cell hexagonal board. Since each hexagonal cell not on a board edge has six neighbor cells, there ...
replaces the four directions of orthogonal movement (along ranks and files) with the six directions to adjacent cells, through cell edges. The four directions of diagonal movement are likewise replaced with the six directions that lie through vertices of the cell; these "diagonal" movements travel along the edge between a pair of adjacent cells before arriving at another cell. A three-colour grid aids in visualising this movement, since it preserves the traditional chessboard's property that pieces moving diagonally land only on cells of the same colour.


Uses

The hex map has been a favourite for game designers since 1961, when Charles S. Roberts of the
Avalon Hill Avalon Hill Games Inc. is a game company that publishes wargames and strategic board games. It has also published miniature wargaming rules, role-playing games and sports simulations. It is a subsidiary of Hasbro, and operates under the compan ...
game company published the second edition of '' Gettysburg'' with a hex map. The hex grid is a distinguishing feature of the games from many wargame publishers, and a few other games (such as ''
The Settlers of Catan ''Catan'', previously known as ''The Settlers of Catan'' or simply ''Settlers'', is a multiplayer board game designed by Klaus Teuber. It was first published in 1995 in Germany by Franckh-Kosmos Verlag (Kosmos) as ''Die Siedler von Catan'' (). ...
)''. The hex map has also been popular for role-playing game wilderness maps. They were used in the ''Dungeons & Dragons'' boxed sets of the 1980s and related TSR products. GDW also used a hex grid map in mapping space for their science-fiction
RPG RPG may refer to: Military * Rocket-propelled grenade, a shoulder-launched anti-tank weapon **''Ruchnoi Protivotankoviy Granatomyot'' (Russian: ''Ручной Противотанковый Гранатомёт''), hand-held anti-tank grenade laun ...
'' Traveller''. A number of abstract games are played on a hex grid, such as * ''
Abalone Abalone ( or ; via Spanish , from Rumsen language, Rumsen ''aulón'') is a common name for any small to very large marine life, marine gastropod mollusc in the family (biology), family Haliotidae, which once contained six genera but now cont ...
'' * the six games of the '' GIPF'' series * '' Hex'' * '' Havannah'' * '' Y'' * ''
Chinese Checkers Chinese checkers (US) or Chinese chequers (UK), known as ''Sternhalma'' in German, is a Abstract strategy game, strategy board game of German origin that can be played by two, three, four, or six people, playing individually or with partners. The ...
'' * ''
Agon () is the Greek personification for a conflict, struggle or contest, describing a concept of the same name. This could be a contest in athletics, in chariot or horse racing, or in music or literature at a public festival in ancient Greece. i ...
'' Several variants of chess have also been invented for a hex board. The television game show '' Blockbusters'' (1980–1982, 1987) was also based on a hex grid. Early examples of
strategy video game Strategy video game is a major Video game genres, video game genre that focuses on analyzing and strategizing over direct quick reaction in order to secure success. Although many types of video games can contain strategic elements, the strategy ...
s that use hex maps include 1983's ''
Nobunaga's Ambition is a series of turn-based grand strategy role-playing simulation video games developed and published by Koei (now Koei Tecmo). The original game was one of the first in its genre, being released in March 1983 in Japan. ''Nobunaga's Ambitio ...
'', 1989's ''
Military Madness ''Military Madness'' is a 1989 turn-based strategy video game originally developed and published by Hudson Soft in Japan and NEC in North America for the TurboGrafx-16. It is the first entry in the '' Nectaris'' series. Set in the year 2089 ...
'' (the first entry in the ''Nectaris'' series), and 1991's '' Master of Monsters''. The first ''
Civilization A civilization (also spelled civilisation in British English) is any complex society characterized by the development of state (polity), the state, social stratification, urban area, urbanization, and symbolic systems of communication beyon ...
'' had a hex map version during development, but designers decided against it because "the world was not ready ... it was too freaky". While the first four iterations of the popular ''Civilization'' computer game franchise used square maps, ''
Civilization V ''Sid Meier's Civilization V'' is a 4X turn-based strategy video game developed by Firaxis Games and published by 2K (company), 2K. It is the sequel to Civilization IV, ''Civilization IV'', and was released for Microsoft Windows, Windows in Sep ...
,'' ''
Civilization VI ''Sid Meier's Civilization VI'' is a 2016 4X turn-based strategy video game developed by Firaxis Games and published by 2K (company), 2K. The mobile and Nintendo Switch ports were published by Aspyr Media. It is the sequel to ''Civilization V'' ...
, and
Civilization VII ''Sid Meier's Civilization VII'' is a 4X turn-based strategy video game developed by Firaxis Games and published by 2K. The game was released on February 11, 2025, for Windows, macOS, Linux, Nintendo Switch, PlayStation 4, PlayStation 5, Xbox One ...
'' use hexagonal maps. Other games that use hex maps are ''
The Battle for Wesnoth ''The Battle for Wesnoth'' is a free and open-source software, free and open-source turn-based strategy video game with a high fantasy setting (similar to J. R. R. Tolkien's Tolkien's legendarium, legendarium), designed by Australian-American d ...
'', ''
Dragon Age Journeys ''Dragon Age'' is a media franchise centered on a series of fantasy role-playing video games created and developed by BioWare, which have seen releases on the Xbox 360, PlayStation 3, Microsoft Windows, OS X, PlayStation 4, Xbox One, PlayStation ...
'', ''
Heroes of Might and Magic III ''Heroes of Might and Magic III: The Restoration of Erathia'' (commonly referred to as ''Heroes of Might & Magic 3'', or ''Heroes 3'', or abbreviated HoMM 3) is a turn-based strategy game developed by Jon Van Caneghem through New World Comput ...
'', ''
Forge of Empires ''Forge of Empires'' is a browser-based strategy game developed by InnoGames. It was first launched on closed beta on 29 March 2012. The game was initially released on 17 April 2012 (open beta phase). In 2013, a television advertising campaign h ...
'' and '' UniWar''.


See also

* Hexxagon, a
board game A board game is a type of tabletop game that involves small objects () that are placed and moved in particular ways on a specially designed patterned game board, potentially including other components, e.g. dice. The earliest known uses of the ...
*
Hexagonal tiling In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of or (as a Truncation (geometry), truncated triangular tiling ...


References


External links

{{Commons category, Hex maps, Hex maps
mkhexgrid, a hex grid and hex paper utility

Free online hexagonal graph paper PDF generator

Hexographer, a program for making role-playing game wilderness hex maps in a "classic" style

Hextml, an online program to make hex maps

GM Friend hex mapping tool, an online program to make hex maps with a random map generator

RedBlobGames, Hexagonal Grids, a reference for hexagonal grid algorithms


A supra-hexagonal map for analysing high-dimensional omics data.
mathematical discussion of implementing the x,y,z axis in hexagonal applications

Unreal Engine 4 HexMap grid extension
Board game terminology Map types Hexagonal tilings Game terminology