INTRODUCTION

This is a small and simple library for using hexagonal grids in amulet + lua. I wrote it for a tower defense game I'm making.

It's not really well documented. If you want an actual good resource, go to amit's guide to hexagonal grids. So much of what is here I derived from amit's work.

CONVENTIONS & TERMINOLOGY

If you have read amit's guide to hexagon grids, a lot of the terminology will be familiar to you - I utilize many conventions he does in his guide. That being said, I use some he doesn't, and because so many similar kinds of data structures with different goals are used in this library it can be hard to remember precisely what they all refer to. The following table shows what each table/vector/array refers to in the code:

NAME	REFERS TO
hex	xyz, vector used for most tasks, with constraint x+y+z=0
pix	xy, vector true screen pixel coordinates
off	xy, 'offset', vector used for UI implementations
map	table of unit hexagon centerpoints arranged in a shape

• note that 'hex' here is a catch-all term for cube/axial coordinates, as they can often be used interchangeably.

MAPS & MAP STORAGE

The storage system used is based on the map shape - see chart:

SHAPE	STORAGE TYPE	KEY	VALUE
ring	ordered, array-like	index	vec2(i, j)
spiral	ordered, array-like	index	vec2(i, j)
parallelogram	unordered, hash-like	vec2(i, j)	simplex noise
rectangular	unordered, hash-like	vec2(i, j)	simplex noise
hexagonal	unordered, hash-like	vec2(i, j)	simplex noise
triangular	unordered, hash-like	vec2(i, j)	simplex noise

• note that a spiral map is just a hexagonal one with a particular order.

The noise values on the hashmaps are seeded. You can optionally provide a seed after the map's dimensions as an argument, otherwise it's a random seed.

RESOURCES

• Hex Map 1 - unity tutorial for hexagon grids with some useful generalized math.
• Hexagonal Grids - THE resource on hexagonal grids on the internet.
• Amulet Docs - amulet documentation.