How to find the figure of the base of the grid?

Question

Geometry

Hello, the problem seems to be simple, but I can't solve it.

There is a plane on it with points that create a certain grid (which grid is not known).
It is necessary to find out what figure lies at the base of this grid.

I thought that I could extract information from the graph of the radius from the number of points included in the circle relative to an arbitrary point, but I could not.

What will be your suggestions or solutions?

Thanks in advance.

Answer 1

connect the nearest points with lines (points at an equal distance from the target) if the lines included in the target point are 4 then a square if 6 then a triangle if 3 then a hexagon if another number then this is not a grid.

Answer 2

And if there is some probability that the shift points or disappeared, then just take a run in range and check all the points in a row, then take the average or more probable?
That is if I understand you correctly.