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(mathematics) a representation of the space of complex numbers

The complex plane. The horizontal axis represents the real numbers ${\displaystyle (\mathbb {R} )}$, the vertical axis represents the imaginary numbers ${\displaystyle (\mathbb {I} )}$. The complex number ${\displaystyle 4+4i}$ is shown at the point ${\displaystyle (4,4).}$

(mathematics) a representation of the space of complex numbers

Geometric representation of the complex-valued point z = x + yi in the complex plane. The distance along the line from the origin to the point z = x + yi is the modulus or absolute value of z. The angle θ is the argument of z.

(mathematics) a representation of the space of complex numbers

Riemann sphere which maps all points on a sphere except one to all points on the complex plane