Alphamagic square

An alphamagic square is a magic square in which the number of letters in the name of each number in the square generates another magic square. Since different languages will have a different number of letters for the spelling of the same number, alphamagic squares are language dependent. Alphamagic squares were invented by Lee Sallows in 1986.

To verify that a magic square is also alphamagic square, the magic square is converted into and array of corresponding number words. For example

converts to ...

Counting the letters in each number word generates the following square which turns out to also be magic:

If the generated array is also a magic square, the original square is verified as alphamagic. It is not known if any verification squares exist which are also alphamagic.

The above example has been described as "the most fantastic magic square ever discovered" due to its unique property of being consecutive (three to eleven).

The Universal Book of Mathematics provides the following information about Alphamagic Squares:

The geometric magic square is a variation of the alphamagic square.

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