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A hex map, hex board, or hex grid is a game board design commonly used in
wargames ''WarGames'' is a 1983 American science fiction techno-thriller film written by Lawrence Lasker and Walter F. Parkes and directed by John Badham. The film, which stars Matthew Broderick, Dabney Coleman, John Wood, and Ally Sheedy, follow ...
of all scales. The map is subdivided into a hexagonal 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'' has ...
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. It has Schläfli symbol of meaning it has 4 squares around every vertex. Conway called it a quadrille. The internal angle of th ...
map is that the distance between the center of each and every pair of adjacent hex cells (or ''hex'') 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, it is impossible to move forward in one direction without moving backwards slightly in the other. Games that traditionally use the four cardinal directions, or otherwise suit a square grid, may adapt to a hex grid in different ways. For example, hexagonal chess 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 company ...
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''. Pl ...
)''. 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 '' Traveller''. A few
abstract game Abstract strategy games admit a number of definitions which distinguish these from strategy games in general, mostly involving no or minimal narrative theme, outcomes determined only by player choice (with no randomness), and perfect information. ...
s are played on a hex grid, such as * '' Abalone''. * the six games of the '' GIPF'' series. * '' Hex''. * '' Havannah''. * '' Y''. * '' Chinese Checkers'' and several variants of chess have also been invented for a hex board. The television game show '' Blockbusters'' from the 1980s was also based on a hex grid. Early examples of
strategy video game Strategy is a major video game genre that emphasizes thinking and planning over direct instant action in order to achieve victory. Although many types of video games can contain strategic elements, as a genre, strategy games are most commonly defi ...
s that use hex maps include 1983's ''
Nobunaga's Ambition is a series of turn-based grand strategy role-playing simulation video games. The original game was one of the first in its genre, being released in March 1983 by the Japanese video game developer Koei. ''Nobunaga's Ambition'' takes place during ...
'', 1989's '' Military Madness'' (the first entry in the ''Nectaris'' series), and 1991's '' Master of Monsters''. The first ''
Civilization A civilization (or civilisation) is any complex society characterized by the development of a state, social stratification, urbanization, and symbolic systems of communication beyond natural spoken language (namely, a writing system). ...
'' 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'' and '' Civilization VI'' use hexagonal maps. Other games that uses hex maps are ''
The Battle for Wesnoth ''The Battle for Wesnoth'' is a free and open-source turn-based strategy video game with a high fantasy setting, designed by Australian-American developer David White and first released in June 2003. In ''Wesnoth'', the player attempts to build ...
'', '' Dragon Age Journeys'', ''
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'' and '' UniWar''.


See also

* Hexxagon, a board game * Hexagonal tiling *
Agon (game) Agon (or Queen's Guards or Royal Guards) is a strategy game invented by Anthony Peacock of London, and first published in 1842. It is a two-player game played on a 6×6×6 hexagonal gameboard, and is notable for being the oldest known board gam ...
, a two player game played on a 6×6×6 hexagonal gameboard


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