conformal geometric algebra
2 statements across 1 episodes · 2 bullish · 0 bearish · 1 people on the record · first statement Sep 17, 2018 by Joan Lasenby · across every show →
Everything said about conformal geometric algebra, oldest first
Sep 17, 2018 positive
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…”
Sep 17, 2018 positive
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…”