Projective Planar Geometric Algebra Project

In the second year of game development I took the elective course "Geometric Algebra" (GEOA) which delves into projective planar geometric algebra (PPGA). PPGA is a system based on generator planes rather than traditional vectors. It also features a fourth, projective dimension which allows for some really interesting math. You can read more about it here. At the end of the course we were tasked with creating a very simple game using PPGA which resulted in this project.

I thoroughly enjoyed the GEOA course as it forced me to view the geometric space in a completely new light and made me learn something new from the ground up. The gameplay is very simple but the journey leading up to understanding all these concepts has been one of the most interesting and fun experiences of my school carrier