To be more specific — I think the part I'm interested in is: how would you define a custom curve in an FoC way. As opposed to, how would you use a choice of existing curve algo (from a lib) in an FoC dynamic drawing tool.

I say this as someone who has spent a while playing with the latter, but hasn't yet looked at the former, so to me it's the more elusive thing.

I’ve never been motivated to make my own curve algo - my assumption is that you’d really just want to write equations. Is that what you’re thinking? Or is it that you want to visually describe the equations?

I have no idea how you’d do the latter, that’s a “define the grammar of curves” kind of problem, which requires someone with domain knowledge 🙂

I think it’d still be pretty FoC to imagine a better flash with the ability to create a new pen tool defined via a series of equations where the variables can be reified as visual controls.

that sounds like a lot of work to me, but it doesn’t sound “hard” in the sense that we’d need to spend several years researching before we could make something useful

since the researchy part of “what new pen tools/curves are useful, intuitive, and computationally cheap” is placed in the domain of the user of the tool rather than the tool itself

Ivan Reese have you seen this? https://bivector.net/

I have not, but this looks extremely up my alley. The geom in Hest is mostly typical game stuff (ie cross product) with a tiny splash of Clifford, limited only by my lack of experience with the latter.

Oh! Mariano Guerra I'm going to have to follow up on that! I have two videos I like to share to introduce people to Geometric Algebra: https://www.youtube.com/watch?v=60z_hpEAtD8 and https://www.youtube.com/watch?v=JpxZQxXxMWY. I probably found them posted here on FoC in the first place.

Funny recommendation, the fact that Google would invite him and give that title to the talk