Z=a+bi is a Gaussian Integer such that a,b are elements of the Integers.
W=c+di is a Gaussian Integer such that c,d are elements of the Integers.
Change these two Gaussian Integers by moving the sliders that control the values of a, b, c, and d.
The products of ZW and WZ are also plotted.
The sums of Z+W and W+Z are also plotted.

As you change Z and W, what do you notice about the products of ZW and WZ? What property does this display?
As you change Z and W, what do you notice about the sum of Z+W and W+Z? What property does this display?