Conformal Geometric Algebra

Abstract

The geometric algebra of a 3D Euclidean space $G_{3,0,0}$ has a point basis and the motor algebra $G_{3,0,1}$ a line basis. In the latter geometric algebra, the lines expressed in terms of Plücker coordinates can be used to represent points and planes as well. The reader can find a comparison of representations of points, lines, and planes using $G_{3,0,0}$ and $G_{3,0,1}$ in Chap. 7.