Squares in a Grid
Source:
September 8, 2024
combinatorics2024
Problem Statement
Compute the number of squares of positive area whose vertices all are points on the grid shown below.
[asy]
unitsize(1cm);
dot((0,0));
dot((1,0));
dot((2,0));
dot((3,0));
dot((0,1));
dot((1,1));
dot((2,1));
dot((3,1));
dot((0,2));
dot((1,2));
dot((2,2));
dot((3,2));
dot((0,3));
dot((1,3));
dot((2,3));
dot((3,3));
[/asy]