Pattern of Squares Date: 1/08/98 at 22:48:32 From: Neil Abrahams
Subject: pattern of squares Do squares of integers have a
pattern? I believe that they do, but I don't know what it is.
Date: 01/22/98 at 14:51:31 From: Doctor Sonya Subject: Re:
pattern of squares Hi there Neil. There is a very definite
pattern to the squares of integers. I'll show you how to find
it. Pick a number, any number. I picked 7. Now say that you have
that number of dots. I have 7 dots, and there is not much I can
do with them. I could put them in a line: . . . . . . . or
arrange them in two unequal rows: . . . . . . . but it's not too
pretty. But say I had nine dots. Then I could arrange them in a
perfect square: . . . . . . . . . If you are getting ahead of
me, you'll notice that 9 is 3^2 (this is the way to type "3
squared"). In fact, if the number of dots is the square of a
positive integer, you can always arrange them in a square. For
example, 5^2 = 25, and we can make a 5 by 5 square out of the 25
dots. Now that you've got that,