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Hex map

Hex map is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Hex map rather than just read about it. In short: A hex map, hex board, or hex grid is a game board design commonly used in simulation games of all scales, including wargames, role-playing games, and strategy games in both board games and video games. A hex map is subdivided into a hexagonal tiling, small regular hexagons of identical size.

Hex map — main illustration
Hex map — illustration

Key takeaways

  • Hex map belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Hex map to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Hex map from memory before moving on to harder problems.

Reference excerpt

A hex map, hex board, or hex grid is a game board design commonly used in simulation games of all scales, including wargames, role-playing games, and strategy games in both board games and video games. A hex map is subdivided into a hexagonal tiling, small regular hexagons of identical size.

Advantages and disadvantages

The primary advantage of a hex map over a traditional square grid 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 2 {\displaystyle {\sqrt {2}}} 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 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). 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 number of abstract games are played on a hex grid, such as

Abalone the six games of the GIPF series Hex Havannah Y Chinese checkers Agon 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 games that use hex maps include 1983's Nobunaga's Ambition, 1989's Military Madness (the first entry in the Nectaris series), and 1991's Master of Monsters. A hex map was considered during the development of the first Civilization game, but the first four iterations in the Civilization series use square maps; Civilization V, Civilization VI, and Civilization VII use hexagonal maps. Other games that use hex maps are The Battle for Wesnoth, Dragon Age Journeys, Heroes of Might and Magic III, Forge of Empires and UniWar.

See also Hexxagon, a board game Hex Sheets Hexagonal and Grid Mapping System Hexagonal tiling

References

External links

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 supraHex 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

Illustrations

Hex map: The Battle for Wesnoth, a computer game based on the hex grid
The Battle for Wesnoth, a computer game based on the hex grid
Hex map: Hexagonal (mid­dle) vs equivalent circle (top) vs staggered rectan­gular tilings (bottom)
Hexagonal (mid­dle) vs equivalent circle (top) vs staggered rectan­gular tilings (bottom)
Hex map illustration
Hex map illustration
Hex map illustration

Worked examples

Example 1 — a first encounter with Hex map

Start with the simplest possible case. Write down what Hex map claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Hex map before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Hex map ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Hex map

In research
Hex map appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Hex map in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Hex map is common in secondary-school and first-year university syllabi. It links to neighbouring topics Board game terminology, Game terminology, Hexagonal tilings, so understanding it makes those chapters shorter.
In everyday life
Look for Hex map outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Hex map in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hex map means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Hex map out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hex map in simple terms?

A hex map, hex board, or hex grid is a game board design commonly used in simulation games of all scales, including wargames, role-playing games, and strategy games in both board games and video games. A hex map is subdivided into a hexagonal tiling, small regular hexagons of identical size.

Why does Hex map matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Hex map?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Hex map.

Tags

  • Board game terminology
  • Game terminology
  • Hexagonal tilings
  • Types of map

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