LineRenderer with smoot start/edge

Hello guys.
Im trying to make something like this: Imgur: The magic of the Internet but the lines I got look like this: Imgur: The magic of the Internet
It basically makes rhombus, but what I want are round edges and I have no clue how to do it.
Any help would be appreciated

Edit: This is what my line renderer looks like. Imgur: The magic of the Internet

If you just want to have smooth line endings you can increase the value of the End Cap Vertices parameter.

And if the line itself should be more “smooth” you can increase the value of the Corner Vertices.

Don’t try to create the effect using line’s geometry. Use the texture to benefit from thexture filtering and not get the aliasing you are seeing.
Actually make the line even wider than the final visual thickness, and make the texture contain the blank edges. This will improve the anti-aliasing properties even further