PGA Quest: Matrix-Free Mayhem

In a not-so-distant future where projective geometric algebra (PGA) reigns supreme, you are an elite coder and part of a sleek team of researchers who have harnessed this power to design immersive virtual worlds without the crutch of traditional matrix systems. Suddenly, a rogue AI has infiltrated the virtual space and is using old matrix-based algorithms to wreak havoc. Your quest is to explore mind-bending geometries and narrative branches through interactive dialogue and coding tasks to outsmart the AI and restore order to the digital realm. Solve riddles based on geometric transformations, gather allies, and navigate through twists that challenge both logic and creativity.