Curvature Graph hair spacing question

This is a 3 degree single span curve. Why the hair spacing abruptly change at the point?

Interesting.

Thank you. But I would like to understand why and what is it telling me about the curve. Oddly, I couldn’t find explanations, perhaps I asked the wrong question.

I’ve also asked ChatGTP, it just made stuff up lol.

Claude: “When the Curvature Graph lines abruptly change density within a cuve’s span, it is an indication that the curve is ugly or possibly outright disgusting. Shall I make the curve beautiful for you?”

Gemini: “Unexpected Curvature Graph line density variations in single span curves can often be attributed to an overheating GPU. You should save your file and power down your PC or laptop immediately until it has cooled down.”

Grok: “Well spotted! When Curvature Graph hair doesn’t fall nicely, or is tangled, you should apply a Curvature Graph comb or brush, but only when the hair is dry after washing the Control Points. Shall I generate a comb or brush for you?”

Correct me if I’m wrong, I’m new to Rhino. The sudden hair lines spacing change has no significant meaning, it’s merely a graphical display.

With density 0, hair lines are generated from knots as show below (multi-span 5 degree curve).

Rhino adds number of hair lines between the knots according to Density parameter, example density of 2

If knots are somewhat equally spaced, then 100 density would look uniform.

HOWEVER, Rhino would add addition hair line to best illustrate the curvature. I move the 1st control point to the right, changing beginning portion of curve. One additional hair line as added, but not from a knot.

Then when increase density of 100, left part of curve would have more hair line graphically than the the right part. Therefor it looks like a sudden change.

Sure, but a degree 3 single span curve has no interior knots.

If you bend a degree 3 single span curve enough, Rhino will generate additional hair lines at density zero, creating the sudden change in spacing.

It’s the way Rhino draws curvature graph. Solidworks curvature comb is always equally distributed. Unless there is a reason Rhino does it this way.

Recording 2026-06-24 160820