Geometric Algebra and OpenGL 2.0

At SIGGRAPH 2001 the revolutionary change happened on Computer Graphics History.
It’s the introducing of “Geometric Algebra”.
Please see Geometric Algebra course note.

I think OpenGL 2.0 should be based on some Geometric Algebra(Clifford Algebra).


What exactly is revolutionary here? Clifford algebra isn’t exactly new (Clifford died in 1879), and there have been papers discussing its application to gfx for a few years now.

Given that OpenGL is really an interface to expose 3D hardware and not a maths library, could you summarize the benefits for the mathematically challenged among us? (Well, okay, among me.)

<rant>I do wish people would stop posting presentation slides on the Web. Without the context and detail of the presentation they’re a complete waste of time.</rant>