An alphamagic square, invented by Lee Sallows, is a magic square such that not only do the numbers spelled out in words form a magic square, but the numbers of letters of the words also form a magic square. For example,

The first magic square comes from the numbers represented by the words in the alphamagic square, and the second magic square comes from the numbers of letters in the words of the alphamagic square.

a. Verify that this is an alphamagic square.

b. Find another alphamagic square.

Transcribed Image Text:

five twenty-eight twelve twenty-two fifteen eight 5 gives rise to two magic squares: 28 22 18 15 2 25 12 8 and eighteen two twenty-five 49 11 7 6 5 8 3 10