About Perfect Magic Squares
Perfect Magic Squares is an independent site of free magic square tools and guides: a generator, a solver, a playable puzzle and printable worksheets, with explanations of how each result is worked out.
What this site is
The site is for students, parents, teachers and puzzle fans who want a clear answer about magic squares: what they are, how big the sums are, how to build one and how to finish one that is half done. Each tool shows its method and limits on the same page.
This site is independent of any earlier magic-squares site that used the domain. It does not reuse that site’s content.
How the results are checked
- Every square the generator builds, for orders 3 to 15, is checked line by line against the magic constant n(n² + 1) / 2. The check also confirms that the numbers 1 to n² each appear once.
- The solver’s counts are checked against the published figures: 8 squares of order 3 and 7,040 of order 4 (880 squares counted with their 8 rotations and reflections).
- The puzzle and worksheet generators confirm with the solver that each puzzle has exactly one solution.
- Tools run in your browser. What you type is not sent to us.
Errors can still occur. If you find one, please tell us through the contact page; corrected pages show a new “Last updated” date.
Sources
- Weisstein, Eric W. “Magic Square.” MathWorld, A Wolfram Resource. mathworld.wolfram.com/MagicSquare.html
- “Magic square.” Wikipedia. en.wikipedia.org/wiki/Magic_square
Data and credits
This site does not use any downloaded dataset. Every square, count and sum is computed by the code on the page, so there are no data licences or copyright notices to list beyond the sources above, which are cited for facts and methods and not copied.
Who runs it
The site is run by its owner and has no named editor or reviewer listed. No credentials are claimed. Read the privacy policy and the terms of use, or return to the magic square generator.