Explorations of Inventories is a 12 Step blog, so why this reblog? Because the premise of the blog is an expansion of select mathematical ideas into metaphors that serve as tools for solving personal problems. Magic squares could be used that way, dissolving a situation into the pieces of a square with intentional gaps. Fill in the gaps creatively, and a previously unseen solution may emerge.

The above 4 × 4 magic square only has the digits 2, 0. 1, and 9 (from the year 2019) and as a bonus, the four digits in its upper-left section form “2019”. It has a magic sum of 132. This means the sums of the magic square’s columns, rows, and diagonals are all equal to 132. It is also a **semi-pandiagonal magic square** since it contains some of the features of a pandiagonal magic square, namely:

**Partial Panmagic Square**— The 2-2 broken diagonals (on both sides) of this magic square have a magic sum of 132 as well. For this to be a panmagic square, the 3-1 broken diagonals should also be equal to the magic sum, but unfortunately, this magic square does not have that property. From here on, note that the sum of the cells with identical background colors is equivalent to the magic sum, which…

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