tris3d

is a 3d tic tac toe algorithm powered by Z3 space

Table Of Contents:

• Installation
• Description
• API
• License

Installation

With npm do

npm install tris3d

With bower do

$ bower install tris3d

or use a CDN adding this to your HTML page

<script src="https://cdn.rawgit.com/fibo/tris3d/master/dist/tris3d.min.js"></script>

Description

Algorithm to play tic tac toe in dimension three.

Imagine a cube, just like the Rubik's cube where everyone of the little cubes is numbered from 0 to 26 and has a 3d coordinate in the range from [0, 0, 0] to [2, 2, 2] following a natural order.

// Sorted array of points from point[0] to point[26]
var point = [
  [0, 0, 0], [1, 0, 0], [2, 0, 0], // 0   1   2
  [0, 1, 0], [1, 1, 0], [2, 1, 0], // 3   4   5
  [0, 2, 0], [1, 2, 0], [2, 2, 0], // 6   7   8
  [0, 0, 1], [1, 0, 1], [2, 0, 1], // 9   10  11
  [0, 1, 1], [1, 1, 1], [2, 1, 1], // 12  13  14
  [0, 2, 1], [1, 2, 1], [2, 2, 1], // 15  16  17
  [0, 0, 2], [1, 0, 2], [2, 0, 2], // 18  19  20
  [0, 1, 2], [1, 1, 2], [2, 1, 2], // 21  22  23
  [0, 2, 2], [1, 2, 2], [2, 2, 2]  // 24  25  26
]

NOTA BENE: in dimension three the game makes sense only if there are three players (🐨 🐬 🐯), and is more fun if they can negotiate.

API

isTris(p1, p2, p3)

Takes 3 points given by the coordinate system described above and returns a boolean that is true if they are aligned.

var tris3d = require('tris3d')

var isTris = tris3d.isTris

isTris([2, 0, 2], [1, 1, 2], [0, 2, 2]) // true

License

MIT