Lately I’ve been working on the math library in my homebrew game engine, and as a result had to delve into the wonderful world of “handedness”. This part of implementing a cohesive math library has always been a stumbling block for me in the past, so this time around things are much clearer. Here are some of my notes.

Left-Handed Coordinate System	Right-Handed Coordinate System
Matrix Layout: Row Vectors	Matrix Layout: Column Vectors
Matrix Multiplication:	Matrix Multiplication:
Polygon Winding: Clockwise	Polygon Winding: Counter-Clockwise