No More Than Two Different Sizes
If a square has to be cut into n squares of at the most two different sizes, without other restrictions, then such positive integer n that it is possible is referred to as a cute number. The Universal Book of Mathematics provides the following information about cute numbers:
- A number n such that a square can be cut into n squares of, at most, two different sizes. For example, 4 and 10 are cute numbers.
It can be shown that, in addition to 1 and 4, every integer greater than 5 is a cute number.
Read more about this topic: Squaring The Square