Home

The Clifford Multivector Toolbox is designed to extend MATLAB to compute with multivectors in arbitrary Clifford algebras. It follows similar design principles to the Quaternion Toolbox for MATLAB, except that the Clifford toolbox has to work with any Clifford algebra (only one at a time). It is possible to change the selected Clifford algebra while MATLAB is running, and therefore to iterate over multiple algebras, testing an idea, algorithm or function in one algebra after another, very rapidly.

The initial release of this toolbox should not be regarded as tested software. Although we have verified that the toolbox correctly implements the basic arithmetic functions, no reliance should be placed on results until we have developed further test code.

Development of this toolbox was partially funded by a Scheme 4 (Research in Pairs) grant number 41408 from the London Mathematical Society. This grant funded a two-week visit by Stephen Sangwine to the International Christian University in Tokyo to work with Eckhard Hitzer in March 2015.