CGAlgebra: a Mathematica package for conformal geometric algebra. v.2.0
E. Alejandra Ortiz-Duran, Jose L. Aragon
TL;DR
CGAlgebra v.2.0 is a Mathematica package that facilitates conformal geometric algebra computations, enabling simplified calculations of geometric transformations and products through rule-based programming.
Contribution
This paper introduces CGAlgebra v.2.0, a comprehensive Mathematica package that implements 5D conformal geometric algebra for advanced geometric calculations.
Findings
Simplifies geometric calculations using rule-based programming.
Supports transformations and products in conformal geometric algebra.
Available as an open-source package for researchers.
Abstract
A tutorial of the Mathematica package CGAlgebra, for conformal geometric algebra calculations is presented. Using rule-based programming, the 5-dimensional conformal geometric algebra is implemented and defined functions simplify the calculations of geometric, outer and inner products, as well as many other calculations related with geometric transformations. CGAlgebra is available from https://github.com/jlaragonvera/Geometric-Algebra
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Taxonomy
TopicsMathematics and Applications