Complex Plane
The complex plane is the plane of complex numbers spanned by the vectors 1 and 
, where 
is the imaginary
number. Every complex number corresponds to
a unique point in the complex plane. The line
in the plane with 
is the real
line. The complex plane is sometimes called the Argand plane or Gauss plane,
and a plot of complex numbers in the plane is sometimes
called an Argand diagram.
The complex plane together with the point at infinity 
is known as the Riemann sphere or extended complex
plane and denoted 
or 
. However, the
notation 
is also used to denote the punctured
plane 
.
Contact the MathWorld Team
complex solutions
of x^111 = 1
