Magic Square Rules:
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A 4×4 magic square is a grid containing the numbers 1 to 16 arranged so that the sum of numbers in each row, each column, and both main diagonals equals the same value (34 for 4×4 squares).
The magic square follows these rules:
Explanation: The magic constant (34) is calculated as n(n²+1)/2 where n=4 (size of square).
Details: There are 880 distinct 4×4 magic squares. They have additional properties like quadrant sums and center sums that also equal 34 in many cases.
Tips: Click "Generate New Square" to create a different valid 4×4 magic square. The magic constant will always be 34.
Q1: How many 4×4 magic squares exist?
A: There are 880 distinct normal 4×4 magic squares (not counting rotations/reflections).
Q2: Can magic squares be larger than 4×4?
A: Yes, magic squares can be any size, though the complexity increases with size.
Q3: What's the history of magic squares?
A: Magic squares date back to ancient China (650 BCE) and were later studied by Arab and European mathematicians.
Q4: Are there other types of magic squares?
A: Yes, including panmagic squares (all diagonals including broken ones sum to constant), and associative squares (numbers symmetric to center sum to n²+1).
Q5: What are magic squares used for?
A: Besides mathematical interest, they've been used in art, cryptography, and even as good luck charms in some cultures.