Calulates how full a grid will be if each item is spaced out by a given amount

Usage no npm install needed!

<script type="module">
  import dDensity from 'https://cdn.skypack.dev/2d-density';


2d density

An algorithm than can be used to find the maximum number of cells that can fit into a grid with a predefined spacing. In other words two-dimensional density.

Build Status



npm install 2d-density


const twoDDensity = require('2d-density');

const gridWidth = 100;
const gridHeight = 100;
const spacing = 3;

const result = twoDDensity.findPercentFull(gridWidth, gridHeight, spacing);

Width, height and spacing should all be whole numbers.

Spacing does not count diagonals. Thus a cell that is diagonally adjacent is really spaced 2 cells away.

Sample output

  count: 2000,
  percent: 0.2

Visual example

Say you have a grid with a width of 5 and a height of 4 and you want to fill cells that are 2 away from each other. You might end up with something like this:

x x x
x x
x x x
x x

The count would be 10 and percentage full would be 0.5. This would be pretty easy to calculate for spacing of 2 but things get more complex when using spacings with odd numbers.

For example a 5 by 5 grid with spacing of 3.

x x
x x

The count is only 5 and the percentage would be 0.2.