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Magic Squares of Squares: The Unsolved 3x3 Puzzle

Dive into one of mathematics’ most elusive challenges with Magic Squares of Squares, a 3x3 grid puzzle that’s stumped experts for decades! Your mission is to fill each cell with a unique perfect square (like 1, 4, 9, 16...) so that all rows, columns, and diagonals sum to the same number, while the square roots (e.g., 1, 2, 3...) also form a magic square with equal sums across all lines. This app brings this unsolved enigma to life with an intuitive interface: hold left-click to fill squares with green pixels (raising the number), right-click to lower them, and watch sliders track your progress toward matching sums. Customize your experience with buttons to adjust the fill rate (1 to 999 changes per second), set the max fill value (500 to 25,000), toggle text visibility, and fine-tune percentage displays (0 to 10 decimal places). Hover over the info icon for puzzle details, and test your skills against the 7 rules: 1) Use a 3x3 grid, 2) Fill with perfect squares, 3) All squares distinct, 4) Square roots distinct and magic, 5) Equal row sums, 6) Equal column sums, 7) Equal diagonal sums. Can you crack this dual-layered magic square and claim mathematical glory? Play now and find out!