How to create custom geometry?

Now you can see what you can also see in the first pictures if you look very closely. There are closely spaced vertices which, roughly speaking, look like a corner.

It is a very special triangulation that your software provides. I can see the division into 4 instead of the usual 2 triangles in the frame. You can do something like this, see Rounded corners on BoxGeometry where faces not touching - #4 by hofk

Do you have to process exactly this existing data and get the identical wireframe?