Magic Square Puzzle
A magic square is a square of numbers in which the numbers in the rows, columns and both diagonals have a common sum. A completed magic square should have a solution such that each entry is unique among a given range of numbers, and the sums of the rows and columns in the square are equal.[more]
The example presents a magic square where the numbers to be distributed in the square range from to 8, and the goal is to find a common sum for each row and column.
There is more than one solution for magic squares, since the puzzle is still valid if the rows are reversed horizontally or vertically.[less]
Snapshot 1: initial starting point for puzzle
Snapshot 2: shows answer key before attempting to complete the puzzle
Snapshot 3: shows answer key after incorrectly attempting to complete the puzzle
Diagonal sums are represented in blue.
 I. Moscovich, Fiendishly Difficult Math Puzzles, New York: Sterling Publishing Co., 1991.
This was a project for Advanced Topics in Mathematics II, 2018–2019, Torrey Pines High School, San Diego, CA.