clifford is a numerical Geometric Algebra (a.k.a. Clifford algebra) package for python.
Geometric Algebra (GA) is a universal algebra which among several other independent mathematical systems, subsumes:
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Requires Python version >=3.5
conda install clifford -c conda-forge
pip3 install clifford
Try out a notebook in binder
Or have a go on your own pc:
from clifford.g3 import * # import GA for 3D space from math import e, pi a = e1 + 2*e2 + 3*e3 # vector R = e**(pi/4*e12) # rotor R*a*~R # rotate the vector
||||Symmetric inner product|
|X(i)||Return the section of the multivector X of grade i|
|X(ei)||Return the section of the multivector X for which ei is the pseudo scalar|
|X[i]||Return the i'th coefficient from the multivector X|
|X.normal()||Return the normalised multivector so that X*~X is +- 1|
For installation instructions, api documention, and tutorials, head over to our documentation!
For citation information, see our