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clifford: Geometric Algebra for Python

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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:

  • Complex numbers
  • Quaternions
  • Linear algebra

Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,

Visual explanation of blades

Quick Installation

Requires Python version >=3.5

Install using conda:

conda install clifford -c conda-forge

Install using pip:

pip3 install clifford

Detailed instructions

Quickstart

Try out a notebook in binder

Or have a go on your own pc:

fromclifford.g3import*# import GA for 3D spacefrommathimporte, pia=e1+2*e2+3*e3# vector R=e**(pi/4*e12) # rotor R*a*~R# rotate the vector

Syntax Summary

SyntaxOperation
|Symmetric inner product
<<Left contraction
^Outer product
*Geometric 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!

Citing This Library

For citation information, see our CITATION.md file.

About

Geometric Algebra for Python

clifford.rtfd.io

Topics

clifford-algebrasgeometric-algebraphysicspythonquaternions

Resources

Readme
BSD-3-Clause license
Activity
Custom properties

Stars

868 stars

Watchers

21 watching

Forks

80 forks
Report repository

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Used by

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clifford: Geometric Algebra for Python
PyPIDOIBinderDocumentation StatusBuild StatusBuild Statuscodecov
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:
  • Complex numbers
  • Quaternions
  • Linear algebra
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Visual explanation of blades
Quick Installation
Requires Python version >=3.5
Install using conda:
conda install clifford -c conda-forge

Install using pip:
pip3 install clifford

Detailed instructions
Quickstart
Try out a notebook in binder
Or have a go on your own pc:
fromclifford.g3import*# import GA for 3D spacefrommathimporte, pia=e1+2*e2+3*e3# vector R=e**(pi/4*e12) # rotor R*a*~R# rotate the vector 
Syntax Summary
SyntaxOperation
|Symmetric inner product
<<Left contraction
^Outer product
*Geometric 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!
Citing This Library
For citation information, see our CITATION.md file.
About
Geometric Algebra for Python
clifford.rtfd.io
Topics
clifford-algebrasgeometric-algebraphysicspythonquaternions
Resources
Readme
BSD-3-Clause license
Activity
Custom properties
Stars
868 stars
Watchers
21 watching
Forks
80 forks
Report repository
Releases
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Used by
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clifford: Geometric Algebra for Python
PyPIDOIBinderDocumentation StatusBuild StatusBuild Statuscodecov
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:
  • Complex numbers
  • Quaternions
  • Linear algebra
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Visual explanation of blades
Quick Installation
Requires Python version >=3.5
Install using conda:
conda install clifford -c conda-forge

Install using pip:
pip3 install clifford

Detailed instructions
Quickstart
Try out a notebook in binder
Or have a go on your own pc:
fromclifford.g3import*# import GA for 3D spacefrommathimporte, pia=e1+2*e2+3*e3# vector R=e**(pi/4*e12) # rotor R*a*~R# rotate the vector 
Syntax Summary
SyntaxOperation
|Symmetric inner product
<<Left contraction
^Outer product
*Geometric 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!
Citing This Library
For citation information, see our CITATION.md file.
About
Geometric Algebra for Python
clifford.rtfd.io
Topics
clifford-algebrasgeometric-algebraphysicspythonquaternions
Resources
Readme
BSD-3-Clause license
Activity
Custom properties
Stars
868 stars
Watchers
21 watching
Forks
80 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

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clifford: Geometric Algebra for Python
PyPIDOIBinderDocumentation StatusBuild StatusBuild Statuscodecov
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:
  • Complex numbers
  • Quaternions
  • Linear algebra
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Visual explanation of blades
Quick Installation
Requires Python version >=3.5
Install using conda:
conda install clifford -c conda-forge

Install using pip:
pip3 install clifford

Detailed instructions
Quickstart
Try out a notebook in binder
Or have a go on your own pc:
fromclifford.g3import*# import GA for 3D spacefrommathimporte, pia=e1+2*e2+3*e3# vector R=e**(pi/4*e12) # rotor R*a*~R# rotate the vector 
Syntax Summary
SyntaxOperation
|Symmetric inner product
<<Left contraction
^Outer product
*Geometric 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!
Citing This Library
For citation information, see our CITATION.md file.
About
Geometric Algebra for Python
clifford.rtfd.io
Topics
clifford-algebrasgeometric-algebraphysicspythonquaternions
Resources
Readme
BSD-3-Clause license
Activity
Custom properties
Stars
868 stars
Watchers
21 watching
Forks
80 forks
Report repository
Releases
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Used by
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clifford: Geometric Algebra for Python
PyPIDOIBinderDocumentation StatusBuild StatusBuild Statuscodecov
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:
  • Complex numbers
  • Quaternions
  • Linear algebra
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Visual explanation of blades
Quick Installation
Requires Python version >=3.5
Install using conda:
conda install clifford -c conda-forge

Install using pip:
pip3 install clifford

Detailed instructions
Quickstart
Try out a notebook in binder
Or have a go on your own pc:
fromclifford.g3import*# import GA for 3D spacefrommathimporte, pia=e1+2*e2+3*e3# vector R=e**(pi/4*e12) # rotor R*a*~R# rotate the vector 
Syntax Summary
SyntaxOperation
|Symmetric inner product
<<Left contraction
^Outer product
*Geometric 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!
Citing This Library
For citation information, see our CITATION.md file.
About
Geometric Algebra for Python
clifford.rtfd.io
Topics
clifford-algebrasgeometric-algebraphysicspythonquaternions
Resources
Readme
BSD-3-Clause license
Activity
Custom properties
Stars
868 stars
Watchers
21 watching
Forks
80 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

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clifford: Geometric Algebra for Python
PyPIDOIBinderDocumentation StatusBuild StatusBuild Statuscodecov
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:
  • Complex numbers
  • Quaternions
  • Linear algebra
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Visual explanation of blades
Quick Installation
Requires Python version >=3.5
Install using conda:
conda install clifford -c conda-forge

Install using pip:
pip3 install clifford

Detailed instructions
Quickstart
Try out a notebook in binder
Or have a go on your own pc:
fromclifford.g3import*# import GA for 3D spacefrommathimporte, pia=e1+2*e2+3*e3# vector R=e**(pi/4*e12) # rotor R*a*~R# rotate the vector 
Syntax Summary
SyntaxOperation
|Symmetric inner product
<<Left contraction
^Outer product
*Geometric 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!
Citing This Library
For citation information, see our CITATION.md file.
About
Geometric Algebra for Python
clifford.rtfd.io
Topics
clifford-algebrasgeometric-algebraphysicspythonquaternions
Resources
Readme
BSD-3-Clause license
Activity
Custom properties
Stars
868 stars
Watchers
21 watching
Forks
80 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

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clifford: Geometric Algebra for Python
PyPIDOIBinderDocumentation StatusBuild StatusBuild Statuscodecov
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:
  • Complex numbers
  • Quaternions
  • Linear algebra
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Visual explanation of blades
Quick Installation
Requires Python version >=3.5
Install using conda:
conda install clifford -c conda-forge

Install using pip:
pip3 install clifford

Detailed instructions
Quickstart
Try out a notebook in binder
Or have a go on your own pc:
fromclifford.g3import*# import GA for 3D spacefrommathimporte, pia=e1+2*e2+3*e3# vector R=e**(pi/4*e12) # rotor R*a*~R# rotate the vector 
Syntax Summary
SyntaxOperation
|Symmetric inner product
<<Left contraction
^Outer product
*Geometric 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!
Citing This Library
For citation information, see our CITATION.md file.
About
Geometric Algebra for Python
clifford.rtfd.io
Topics
clifford-algebrasgeometric-algebraphysicspythonquaternions
Resources
Readme
BSD-3-Clause license
Activity
Custom properties
Stars
868 stars
Watchers
21 watching
Forks
80 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

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clifford: Geometric Algebra for Python
PyPIDOIBinderDocumentation StatusBuild StatusBuild Statuscodecov
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:
  • Complex numbers
  • Quaternions
  • Linear algebra
Scalars, vectors, and higher-grade entities can be mixed freely and consistently in the form of mixed-grade multivectors. Like this,
Visual explanation of blades
Quick Installation
Requires Python version >=3.5
Install using conda:
conda install clifford -c conda-forge

Install using pip:
pip3 install clifford

Detailed instructions
Quickstart
Try out a notebook in binder
Or have a go on your own pc:
fromclifford.g3import*# import GA for 3D spacefrommathimporte, pia=e1+2*e2+3*e3# vector R=e**(pi/4*e12) # rotor R*a*~R# rotate the vector 
Syntax Summary
SyntaxOperation
|Symmetric inner product
<<Left contraction
^Outer product
*Geometric 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!
Citing This Library
For citation information, see our CITATION.md file.
About
Geometric Algebra for Python
clifford.rtfd.io
Topics
clifford-algebrasgeometric-algebraphysicspythonquaternions
Resources
Readme
BSD-3-Clause license
Activity
Custom properties
Stars
868 stars
Watchers
21 watching
Forks
80 forks
Report repository
Releases
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Used by
Contributors
Languages