The complex numbers are a two dimensional number system represented by the double barred C:C={a+bi:a,b∈R}, where i is the complex unit defined as i=√−1. ...The complex numbers are a two dimensional number system represented by the double barred C:C={a+bi:a,b∈R}, where i is the complex unit defined as i=√−1. Throughout the late 1700 's and early 1800 's mathematicians gradually moved towards a geometrical interpretation of the two-dimensional complex numbers. We can see that i1=i and that i2=−1, as a result, i3=i2∗i1=−1∗i=−i