Browse Subject Areas

Click through the PLOS taxonomy to find articles in your field.

For more information about PLOS Subject Areas, click here.

< Back to Article

Numerous but Rare: An Exploration of Magic Squares

Fig 1

Semi-log plot of the appearance probability Pn of magic squares (•).

Pn decreases faster than exponentially with the size n. Two fitted functions are also shown: exp((An + B)ln(n) + Cn + D) (solid line) and exp((En + F)ln(n + G) + H) (dotted line) with A = −4.99 and E = −4.88. We used Pn of n ≥ 10 for the fitting. Enlarged plot for n < 6 is shown in the inset, in which difference of two functions are visible.

Fig 1