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This article comes from a question in the Dynamo Forum on how to calculate the center point of each square in a grid pattern.
The solution is to get intersection points of the grid and triangulate them as a topo mesh. Thus, collecting the inclined curves and its mid-points. See image below.
There are a couple of python scripts in the graph to facilitate list management. Download the script here:
Or take a look at the dynamo script to adapt it to your needs.
Feel free to comment if you have any questions!