The inner radius is equal to `sqrt(3)/2` times the outer radius, so `5 sqrt(3)` in our case. This metric is important, because the distance to the center of each neighbor is equal to twice this value.

There is also an inner radius, which is the distance from the center to each of the edges. This defines the outer radius of our hexagon cell. Because a hexagon consists of a circle of six equilateral triangles, the distance from the center to any corner is also 10. Of course a hexagon grid is less straightforward to construct than a square grid, but we can deal with that.īefore we get started, we have to settle on a size for our hexagons. So there is only one kind of neighbor, which simplifies a lot of things.

All of these neighbors are edge neighbors. A hexagon and its neighbors.Ĭompared to a square, a hexagon has only six neighbors instead of eight. One approach is to not use a square grid at all, but to use hexagons instead. If you use discrete movement, how do you treat diagonal movement? Do you allow it at all? How can you create a more organic look? Different games use different approaches, with different advantages and disadvantages. The differences between the two kinds of neighbor lead to complications. But for diagonal neighbors the answer is √2. What is the distance between the centers of adjacent square cells in the grid? If the edge length is 1, then the answer is 1 for the horizontal and vertical neighbors. The other four can be reached by crossing a corner of the square. They are the horizontal and vertical neighbors. Four can be reached by crossing an edge of the square. Take a look at a single square in the grid. Squares are indeed simple to draw and position, but they have a downside. Why use hexagons? If you need a grid, it makes sense to just use squares. The final part is made with Unity 2017.3.0p3. The entire series progresses through multiple versions of Unity. This tutorial assumes you have completed the Mesh Basics series, which starts with Procedural Grid. We will start with the basics, incrementally adding features until we end up with a complex hex-based terrain. Many games use hex grids, especially strategy games, including Age of Wonders 3, Civilization 5, and Endless Legend. This tutorial is the first part of a series about hexagon maps.

Java hexagonal game