EXPERT WITNESS ... (Continued)
The rearrangment of values challenges us moreso as the number of sub-squares increases. In addition, there exist many more variations for possible rearrangement. However, let us start with “1” in the upper-right corner and follow a path to the value “36” in the lower-left corner, a pattern that may remind us of a painting by the French Abstract artist Joan Miro.
(image 6)
When we transpose the “population” values correctly, we find that we have a set of sums for columns, rows, and diagonals that equal one another.
(image 7)
The larger the “grid,” the more complex the rearrangement of numbers and the substition of actual census-values or their algorithms. Preceding the Digital Age, the application of the Magic Square methods brought to light by Franklin and applied by Jefferson would have challenged us in terms of inordinate amounts of time and a generally unfathomable understanding by the public at large. However, our current technologies have enabled progress and speed in the field of Mathematics. Today, a Magic Square method even may be explained readily by Donald Duck (see educational cartoon “Donald Duck in Mathmagicland,” Walt Disney Studios, 1959). The method of Magic Squares is worth further study unless, of course, we are content to live and vote with the decennial Gerry Salamander Shuffle.
You may be interested in viewing Economic Magic Squares at https://youtu.be/1_aojHjRr8c.
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Dr. John F. Sase teaches Economics at Wayne State University and has practiced Forensic and Investigative Economics for twenty years. He earned a combined M.A. in Economics and an MBA at the University of Detroit, followed by a Ph.D. in Economics from Wayne State University. He is a graduate of the University of Detroit Jesuit High School (www.saseassociates.com).
Gerard J. Senick is a freelance writer, editor, and musician. He earned his degree in English at the University of Detroit and was a supervisory editor at Gale Research Company (now Cengage) for over twenty years. Currently, he edits books for publication (www.senick-editing.com).
Julie G. Sase is a copyeditor, parent coach, and empath. She earned her degree in English at Marygrove College and her graduate certificate in Parent Coaching from Seattle Pacific University. Ms. Sase coaches clients, writes articles, and copyedits (royaloakparentcoaching.com).
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