One of the newest development in the
area of study related to magic squares is Alphamagic Squares.
What are Alphamagic squares?
Well if you have a magic square, and you copy
that magic square, but instead of copying the numerals, but instead write the
name of the number (5 becomes “five”, 18 becomes “eighteen”, etc.). Now create a third square, but instead of
writing the names of the numbers count the number of letters in the name of
each number and write that number in the new square. If the 3^{rd} square is a magic
square then the first square is a alpha magic square.
Example:
5

22

18

28

15

2

12

8

25

Now consider the
array of corresponding number words.
five

twentytwo

eighteen

twentyeight

fifteen

two

twelve

eight

twentyfive

Counting the letters
in each number word generates the following square which turns out to also be
magic.
4

9

8

11

7

3

6

5

10

This square as a magic constant of
21. All of the columns, all of the rows,
and both diagonals sum to 21. So the
first square is an Alphamagic Square in English. I may not work in French, or other languages.
REFERENCES:
David
Some interesting background history on Magic Squares in art, science and culture on this blog: www.glennwestmore.com.au
ReplyDelete