Current v2 experiment
Geometric Algebra v2
Projective geometric algebra places points, lines, planes, meets, joins, distances, and euclidean motions in one algebraic setting. This index organizes the current v2 units around the two PGA models used throughout the site: Algebra(2,0,1) for the euclidean plane and Algebra(3,0,1) for euclidean 3-space.
The sequence builds the algebra before asking it to do geometry. Wedge introduces oriented span, dependence, and grade; multivectors make linear combinations explicit; the geometric product and square rules add the metric information needed for distances, angles, projections, reflections, and motors. Use the tabs below to switch between the unit index, the dependency graph, and the construction inventory.