passagemath-rubiks 10.6.45

passagemath: Algorithms for Rubik's cube

passagemath is open source mathematical software in Python, released under the GNU General Public Licence GPLv2+.

It is a fork of SageMath, which has been developed 2005-2025 under the motto “Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”.

The passagemath fork uses the motto “Creating a Free Passage Between the Scientific Python Ecosystem and Mathematical Software Communities.” It was created in October 2024 with the following goals:

• providing modularized installation with pip,

• establishing first-class membership in the scientific Python ecosystem,

• giving clear attribution of upstream projects,

• providing independently usable Python interfaces to upstream libraries,

• offering platform portability and integration testing services to upstream projects,

• inviting collaborations with upstream projects,

• building a professional, respectful, inclusive community,

• empowering Sage users to participate in the scientific Python ecosystem by publishing packages,

• developing a port to Pyodide for serverless deployment with Javascript,

• developing a native Windows port.

Full documentation is available online.

passagemath attempts to support and provides binary wheels suitable for all major Linux distributions and recent versions of macOS.

Binary wheels for native Windows (x86_64) are are available for a subset of the passagemath distributions. Use of the full functionality of passagemath on Windows currently requires the use of Windows Subsystem for Linux (WSL) or virtualization.

The supported Python versions in the passagemath 10.6.x series are 3.10.x-3.14.x.

About this pip-installable distribution package

This pip-installable distribution passagemath-rubiks provides an interface to several programs for working with Rubik’s cubes.

Michael Reid (GPL) http://www.cflmath.com/~reid/Rubik/optimal_solver.html

• optimal - uses many pre-computed tables to find an optimal solution to the 3x3x3 Rubik’s cube

Dik T. Winter (MIT License)

• cube - uses Kociemba’s algorithm to iteratively find a short solution to the 3x3x3 Rubik’s cube

• size222 - solves a 2x2x2 Rubik’s cube

Eric Dietz (GPL) https://web.archive.org/web/20121212175710/http://www.wrongway.org/?rubiksource

• cu2 - A fast, non-optimal 2x2x2 solver

• cubex - A fast, non-optimal 3x3x3 solver

• mcube - A fast, non-optimal 4x4x4 solver

What is included

• Interface

• Features (via passagemath-environment)

• Binary wheels on PyPI contain prebuilt copies of rubiks executables.

Examples

Using rubiks programs on the command line:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-rubiks" sage -sh -c cubex

Finding the installation location of a rubiks program:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-rubiks[test]" ipython

In [1]: from sage.features.rubiks import cubex

In [2]: cubex().absolute_filename()

Using the Python interface:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-rubiks[test]" ipython

In [1]: from sage.interfaces.rubik import *

In [2]: C = RubiksCube("R U F L B D")

In [3]: sol = CubexSolver().solve(C.facets()); sol
Out[3]: "U' L' L' U L U' L U D L L D' L' D L' D' L D L' U' L D' L' U L' B' U' L' U B L D L D' U' L' U L B L B' L' U L U' L' F' L' F L' F L F' L' D' L' D D L D' B L B' L B' L B F' L F F B' L F' B D' D' L D B' B' L' D' B U' U' L' B' D' F' F' L D F'"

Using sage.groups.perm_gps:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-rubiks[test]" ipython

In [1]: from passagemath_rubiks import *

In [2]: rubik = CubeGroup(); state = rubik.faces("R")

In [3]: rubik.solve(state)
Out[3]: 'R'