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how to make the end of a curve round? (like pictured in the image? could it end somehow on a 'semisphere?)

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I agree with @Vagabonk's comment, that's a neat method, but it does depend on Catmull-Clark's approximation of a square subdividing as a circle, which isn't perfect, and a level of subdivision you might not want.

Here's a GN group which will modify a given curve to round-capped bevel of itself, with set radius, U & V resolutions:

enter image description here

Improvements could include UV mapping in continuity with the caps.. that might be easier in Blender 3.3.

enter image description here

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