I'm trying to create a mapping that curves the line to keep it the same width. But I couldn't find anything on the entire internet.

I would like to understand what approach and how to do it. Furthermore, I think that the bending must be done according to a "Radius" of a hypothetical circle.

For now I have created something like this but it doesn't work as I hoped, as the line narrows, while I would like it to remain the same thickness once folded.

**This is a view at the nodes that create the line:**

[![enter image description here][1]][1]

**This is my procedural attempt to bend the Line**

As you can see, the line curves exactly where I'm interested, but with this bending, the line narrows when bent.

[![enter image description here][2]][2]


My idea is to choose the radius of curvature, and the degree of curvature. But I haven't found much help anywhere on the internet.



**I hope to be more specific with this additional note:**

My question is more oriented towards Vectors and how to bend them. Suppose I had inserted a dotted line (also an image texture), I would like to be able to bend the dotted line or the texture as well. Essentially Bend the vector coordinates without using UV mapping.


**Bending 90 Degrees Example:**

When I say I mean "Bend" I mean this, as you can see, the strip is only Folded in one point. (This example is done with 2 overlapping objects)

[![enter image description here][3]][3]


  [1]: https://i.sstatic.net/AJEqlBI8.png
  [2]: https://i.sstatic.net/51gzZv9H.png
  [3]: https://i.sstatic.net/GI87YRQE.png