12 squares.
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I think it would be 2x2 squares
3 squares and 4 triangles will have 24 vertices. There will be 4 vertices for each of the 3 squares. Since there are 3 squares, that will be 12 vertices. There are 3 vertices for each of the 4 triangles. Since there are 4 triangles, that will be 12 vertices. 12+12=24.
GFYM
To determine the number of rectangles in a 3 by 4 grid, we can use the formula for calculating the number of rectangles in an n by m grid, which is (n*(n+1)m(m+1))/4. Plugging in the values for a 3 by 4 grid, we get (3*(3+1)4(4+1))/4 = 30 rectangles. This includes rectangles of different sizes, such as 3x1, 2x2, and 1x3, within the grid.
There are 36 unique quadrilaterals in a 3x3 square grid: 14 squares = 9 (1x1) 4 (2x2) 1 (3x3) 22 rectangles = 6 (1x2) 6 (2x1) 6 (3x3) 2 (2x3) 2 (3x2) (the total number of quadrilaterals formed by 3 x 3 pin sets will be larger, i.e. 78)