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This module contains a collection of Rubik's cube solvers implemented in JavaScript. It can solve a given cube using the fantastic Kociemba two-phase algorithm, generate random state scrambles, solve steps such as the cross or the Roux first block, as well as provide a variety of different scramble types.


To install, simply run yarn install cube-solver or similar, and require the cube-solver module. You can also manually add the bundle file to your webpage using this unpkg link, in which case the solver will be available globally as cubeSolver.


// Get a new random-state scramble.
const scramble = cubeSolver.scramble();
// Solve the first block.
cubeSolver.solve(scramble, 'fb') // => R L2 B' U' L2 D' F'
// Get a ZBLL scramble.
cubeSolver.scramble('zbll'); // => R B2 R' U' L U' L U' F2 R2 U' B2 U R2 D' F2 U'


The full 3x3 solver is pretty slow compared to other solvers such as the GWT compiled version of min2phase - it rather aims to be simple and extensible. Unless explicitly initialized, the Kociemba solver initializes when solving the first cube, which usually takes around 2 seconds. Generating and solving a random cube takes around 100ms on average, but for some cubes this number can be quite high. The optimal EOLine, FB, Cross and XCross solvers initialize pretty quickly, with the exception of the XCross solver which also takes around 2 seconds. As a consequence, you probably want to use this library in conjunction with web workers.


The solver exposes three main methods.

  • cubeSolver.scramble(type = '3x3') lets you generate scrambles for the entire cube or subsets of it --- see below for a list of available scramblers.
  • cubeSolver.solve(scramble, type = 'kociemba') lets you solve either the entire cube or a subset of it for a given scramble. See below for a list of available solvers.
  • cubeSolver.initialize(solver) lets you initialize solvers so that the first solve is quicker. See below for a list of available solvers. To speed up random-state scrambles, the Kociemba solver should be initialized.

In general, the solvers will put the feature being solved for on the bottom. For example, using normal orientation, solving for an XCross will yield a yellow cross with the front-left pair solved. To solve other positions, you can apply pre-moves to your scrambles. This example shows how to find a bottom-left yellow XCross:

const scramble = `U2 B2 D R' F R2 U2 L D R2 L2 F2 U R2 U' L2 D F2 R2`;
// Find an optimal solution for cross + the back left pair.
cubeSolver.solve(`y ${scramble}`); // => U L2 F' R' F' D L' D

Available scramble types

Type Description
3x3 A random-state 3x3 scrable.
2gll A 2-generator last layer scramble.
cmll A Roux CMLL scramble.
corners A corners-only scramble.
edges An edges-only scramble.
lse A Roux LSE scramble.
lsll Scramble for last slot + last layer.
pll A PLL scramble.
zbll A ZBLL scramble.
zzls Scramble for ZZ last slot + last layer.

Available solver types

Type Description
kociemba Solve the whole cube using the Kociemba algorithm.
cross Solve the CFOP cross.
eoline Solve the ZZ EOLine.
fb Solve the Roux first block, on the bottom left.
xcross Solve an extended CFOP cross.

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