Conformal Geometric Algebra
topic on 1 show · 2 statements across 1 episodes
the Y Combinator Startup Podcast
2 statements about Conformal Geometric Algebra, every show
Lasenby: Conformal geometric algebra handles non-Euclidean geometries by altering invariants
“Now, if you have a different underlying geometry, so if you have hyperbolic or spherical geometry. Then in this algebra, you have to change, you, in conformal algebra, Euclidean geometry is the thing that keeps the point at infinity invariant. Then if I keep o…”
Lasenby: Conformal geometric algebra turns geometric shapes directly into algebraic objects
“Well, what this gets you is that points, lines, planes, circles, and spheres become objects in the algebra. They're objects. You give me a, it's a C. This big C is a circle. It's a trivector in my five dimensional space. And rotors, Which are these, this class…”