Examination of new geometric algebras including a visualization and integration in a geometric algebra compiler

Geometric algebra is a powerful mathematical framework which enables one to formulate and compute geometric intuitive algorithms, especially on massively-parallel hardware. A geometric algebra compiler facilitates the integration of geometric algebra algorithms in source code. This work makes a geometric algebra compiler capable of supporting arbitrary geometric algebras. It also integrates a visualization tool in this geometric algebra compiler. The visualization tool will be able to visualize elements of arbitrary geometric algebras with a minimum of preceding knowledge on the concrete geometric algebra. This results in a less researcher effort. Furthermore, some new geometric algebras will be investigated by using the developed visualization tool