Found an interesting thing: http://faculty.cs.tamu.edu/schaefer/research/kcurves.pdf … I am a little curious about that, when adopting this curve into type design, could it interpolate well (i.e., no kinks produced during interpolation). This thing is far more "direct" than B-splines.
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Thanks Hrant for tweeting this at me, it's been inspiring. This isn't a direct answer to the original thread, but you might find https://raphlinus.github.io/curves/2018/12/08/euler-spiral.html … interesting.
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Interesting stuff. BTW that "0.606" rang a very large if distant bell in my mind... Back in college, inspired by the Lituus, I used to "invent" damped curves (like x^(1/x) which is borderline spiritual :-) and at some point I remember hitting 1/sqrt(e) which is... 0.606.... :-)
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