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Braid Group implementation on pure python

This project is based on http://www-math.mit.edu/~seidel/geng/#download

Changes from original:

  • Original code is only for python2. Mine is only for python3
  • Removed Permutation and use sympy.combinatorics.Permutation
  • Built directory structures and packaged for pip.
  • Removed LeftBraid. just use Braid.

Usage

pip3 install math_braid
from math_braind import Braid

# Identity Element
Braid([], 4)

# Artin generation. num should be from 1 to 3
Braid([1,2,3], 4)

# Band generation. num should be from 1 to 4
b = Braid([[3,1], [1,2]], 4); b

# Length of Permutation
b.k

# inverse element
~b