Existence 2
How many distinct magic squares of order 3 exist?
Note: The word distinct here means different in arrangements and/or orientations.
This problem is part of the set Magic Squares Mania .
The answer is 8.
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1 solution
In Vignette 20: Magic Squares , it is said that there is only one normal magic square of order 3. This does not take account the reflections and rotations of this square. However, considering these, there will be a total of 8 distinct magic square, consistent with Problem 14, Exercise 1.8 In Brualdi's Introductory Combinatorics .
PS: Thanks for detecting the error in this problem. :D