Thanks a lot for the file, Alex, this confirms my suspicion.
Think about folding a paper, while each fold creates a line. Many of these lines will be obscured by the paper. Similar to that is what happens in the file.
The images didn’t have any information if it was flat or not. So, guessing would have been the only way…
Since you are interested in a graphical representation of the edges, I would suggest the following:
Select the object with the Bevel, then Object Manager> Current State to Object.
Hide anything in the Viewport, except the new object.
Select all edge of the new object and use Mesh> Conversions> Edge To Spline.
Hide the Polygon Object.
Please note for the following that Cell Rendering, Toon Rendering, hair, etc., might exclude each other. Chose one per render session for your tests.
I checked with a Hair Material and Sketch ‘n’ Toons (Spline Mode). The Cell needs to have Polygons, Sweep would be a way to get those. Alternative: With Cell as render, Simulate> Hair Edit> Convert From Spline, then Hair> Generate> Square (The size depends on the Thickness in the Hair material. Transparency: ON)
Let me know if there are any other questions about this, I’m happy to look into it.
Cheers
P.S.: Project files links are in the CV Private Messages.