My grandmother used to knit entire sweaters and coats.
While researching helicoids, a couple of interesting links were encountered. Some preliminary comments follow, as little time has been available. Thought it might be fun to create a yarn loop.
This link talks of using helicoids as scaffold for knitting yarn.
It uses an approximate "simpler" method, to establish a distance, and a more math intensive method with a solver. The math seems to get difficult...
*****
Link #2: https://www.cs.cmu.edu/~kmcrane/Projects/Other/YarnCurve.pdf
This link has actual c++ (?)code, which looks like it could be converted into javascript. An online "translator" converted 4000 lines. (The author tends to include code in (his) projects.)
The curve itself is simple Trigonometry.
The math seems to be doable. It does have a modified Frenet frame, for wrapping fibers around the simple curve.
Maybe MoI can do this in some other way?
Links posted at the request of Mindset (IGNITER).
- Brian
I cannot devote much time to this subject, at the current time.
I definitely appreciate your many fine contributions.
I learn a lot from you, even if the math often eludes me.
Apparently you have a well tuned and powerful intellect.
Salute!