There were some mistakes with the construction of the odd-ordered magic squares. These mistakes ought to give us hope in finding squares that, if n is odd, you will indeed get (n!)2 magic squares with a random method. I had always maintained that, and until now I never had a...

Continue reading...# Magic squares

## Recreational Math I: Magic Squares: the “really good” kind – Part 6

I have met with some disappointment as to how a methodology for creating a 4×4 square should pan out, and instead I have come up with many different algorithms, each resulting in its own small sets of magic squares, but had stumbled upon a set of squares with similar “hyper-magical”...

Continue reading...## Recreational Math I: 4×4 squares: Some sequences work better than others

I was experimenting with Danny Dawson’s 4×4 magic square script, and began to consider writing my own script. But I just thought I would do a few runs for my own research. I wanted to thank Mr. Dawson for his fine work which I am obviously gaining knowledge from, but...

Continue reading...## Recreational Math I: Magic Squares: the “really good” kind – Part 4

How to Make a Random Square I have noticed that it has been difficult to elucidate a method for systematically creating even-ordered magic squares of any but the most basic kind. I don’t know why this is, since the art has been alive in Europe for at least 600 years,...

Continue reading...## Recreational Math I: Magic Squares: the “really good” kind – Part 3

Notice that to show the rules for making these kind of magic squares, I used only odd-ordered square matrices as examples. What about matrices of even numbers of rows and columns? The rules for these vary. The famous Durer magic square, with the year of the engraving cleverly made a...

Continue reading...## Recreational Math I: Magic Squares: the “really good” kind – Part 2

Last time I introduced the idea of magic buy tramadol online cod overnight squares. I promised I would show you how to make one. In this post, I will begin by discussing “trivial” squares, or squares made by simple rules of following diagonals and wrapping. When I say a square...

Continue reading...## Recreational Math I: Magic Squares: the “really good” kind

Introduction ONE OF THE few things you see on the web these days is how to do a really good magic square. There are many websites that tell you about how spiralling arrangements of sequential numbers on a square matrix is magic, but for me, that’s dull. You are limited...

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