Change object name or ID according to its position in Grasshopper

Hi there,
I was wondering if anyone of you could help me in solving this issue. I have subdivided a surface into quads and identified for each one of them their barycenter point.
I would like to change the name of the points in Rhino in such a way that each one of them is numbered according to its position with respect to the raws and columns that I defined when subdividing the surface, for instance:

“Point 1 1”, “Point 1 2”, “Point 1 3”, “Point 1 4”, …, “Point 1 n”
“Point 2 1”, “Point 2 2”, “Point 2 3”, “Point 2 4”, …, “Point 2 n”
“Point 3 1”, “Point 3 2”, “Point 3 3”, “Point 3 4”, …, “Point 3 n”
.
.
.
“Point n 1”, “Point n 2”, “Point n 3”, “Point n 4”, …, “Point n n”
20201111_Superficie rettangolare e cilindrica.gh (16.3 KB) 20201111_Superficie rettangolare e cilindrica.3dm (138.7 KB)
Is this possible? I attach the file for more explanation
Thank you in advance to anyone who will answer