Ivory: Secure, Contain, Project
Point of view is worth eighty IQ points — Alan Kay
TODO: - Basic intro to projective geometry and homogeneous
coordinates - Build up a library for PGA on top of raw GA units - Can we
remain agnostic about the number of dimensions? - If not, parameterise
it. - Might be relevant for taking duals. - Try to remain interoperable
with conformal geometric algebra: - If we can use the same underlying
representation then great - If not, can we parameterise the operations?
- Is it worth adding synonyms for the first few dimensions? - 2D is
nice: - → and ↑ for the first two non-ideal GA
units - ← and ↓ for the negative of each -
Bivector (pseudoscalar) is ↺, negative is ↻ -
3D is harder to represent: - Arrow pointing into ⨂
(fletches) and out-of ⨀ (tip) the screen - Make sure to
pick the positive/negative for whatever the customary orientation
is!