Hexagon ring rhino

I have been trying to use the network of curves command in rhino. I have looked at how to videos but I cannot figure out the reason an example online is not working. I am uploading a file. Any words of wisdom would be appreciated. I am trying to make a signet ring.
Hexagon ring.3dm (43.0 KB)

-Abby

is this somehow what you re after ?
_netWorkSrf
Autosort = No
first Direction = green curves
second Direction red curves

(the result is not a very high end surface quality - more a fast sketch )

thank you that is exactly what I was trying to achieve! I followed the steps you gave and was able to make it work.