Stay_Classy

Recently, I saw a video talking about a number "Wau," which appeared a bit like an F. If one were to carefully look at all the maths, one would realize that it is talking about 1, and some interesting properties of it.

These equations look ugly without MathML, so write them down correctly on paper if you want them to look right.

1^1^1^1^1^1^1 = 1.

If x/y = 1, then x = y, so x^y^x^y^x/y^x^y^x^y = 1.

If the area of a rectangle is 1, and the height is 1, then the width is also 1.

Can anyone else think of some interesting properties?

These equations look ugly without MathML, so write them down correctly on paper if you want them to look right.

1^1^1^1^1^1^1 = 1.

If x/y = 1, then x = y, so x^y^x^y^x/y^x^y^x^y = 1.

If the area of a rectangle is 1, and the height is 1, then the width is also 1.

Can anyone else think of some interesting properties?