---
title: "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!