Alphamagic Square

The first known magic square, discovered in ancient China is named the "Lo Shu". It can be found magic squares for which the numbers of letters in the word for each number in a magic square generates another one.

Here below is a magic square, derived from a fifth century anglo-saxon runic charm :                             

                                                 5        22      18

                                                 28      15       2

                                                12       8        25

As you see, in this magic square, each of the rows, columns, and all the two major diagonals of this array of numbers add to a constant sum of forty-five.

If you spell out in English for each of these numbers, you may get the array of words, here below :

                        FIVE                       TWENTY-TWO       EIGHTEEN

                       TWENTY-EIGHT       FIFTEEN               TWO

                       TWELVE                  EIGHT                  TWENTY-FIVE

If you count out the Roman alphabet letters, for example : "FIVE", four letters; "TWENTY-TWO", nine letters... Entering each counted number, you may get this array :

                                             4        9       8

                                             11      7       3

                                             6       5       10 

It also forms another magic square, which all the rows, columns, and the two main diagonals add to a constant sum of twenty-one.