POV-Ray-complex-functions

POV-Ray v3.7 include file for working with complex functions

List of available complex operators

Images created with the examples:

j = Sqrt(-1)
Z = re + im*j
Re(Z) = re
Im(Z) = im
|Z| = Sqrt(re^2 + im^2)

Isosurface with domain colors of a complex function

F(Z) = 1/(Z⁵ - 2)²

x-axis	y-axis	z-axis
re	|F(Z)|	im

Source code

Mesh with domain colors of a complex function

F(Z) = 1/(Z⁵ - 2)²

x-axis	y-axis	z-axis
re	|F(Z)|	im

Source code

Mesh with domain colors of a complex function

F(Z) = 1/(Z⁵ - 2)²

x-axis	y-axis	z-axis
re	Re(F(Z))	im

Source code

Mesh with domain colors of a complex function

F(Z) = 1/(Z⁵ - 2)²

x-axis	y-axis	z-axis
re	Im(F(Z))	im

Source code

Mesh with domain colors of a complex function

F(Z) = (Z² + 1)/(Z² - 1)

x-axis	y-axis	z-axis
re	|F(Z)|	im

Source code

Mesh with domain colors of a complex function

F(Z) = (-Z³ + Z²*j + 1)/(Z - 1 + j)²

x-axis	y-axis	z-axis
re	Ln(|F(Z)|)	im

Source code

Plane with domain colors of a complex function (Ln magnitude scale)

F(Z) = (-Z³ + Z²*j + 1)/(Z - 1 + j)²

x-axis	z-axis
re	im

Source code

Plane with domain colors of a complex function (Ln magnitude scale)

F(Z) = (-Z³ + Z²*j + 1)/(Z - 1 + j)²

x-axis	z-axis
re	im

Source code

Plane with domain colors of a complex function (Ln magnitude scale)

F(Z) = (-Z³ + Z²*j + 1)/(Z - 1 + j)²

x-axis	z-axis
re	im

Source code

Plane with domain colors of a complex function (Ln magnitude scale)

F(Z) = (-Z³ + Z²*j + 1)/(Z - 1 + j)²

x-axis	z-axis
re	im

Source code

Mesh with domain colors of magnitude of a complex function

F(Z) = (-Z³ + Z²*j + 1)/(Z - 1 + j)²

x-axis	y-axis	z-axis
re	|F(Z)|	im

Source code

Mesh with domain colors of real part of a complex function

F(Z) = (-Z³ + Z²*j + 1)/(Z - 1 + j)²

x-axis	y-axis	z-axis
re	Re(F(Z))	im

Source code

Mesh with domain colors of imaginary part of a complex function

F(Z) = (-Z³ + Z²*j + 1)/(Z - 1 + j)²

x-axis	y-axis	z-axis
re	Im(F(Z))	im

Source code

Plane with domain colors of the 7th iterate of a complex function (Ln magnitude scale)

G(Z) = (1 + j)*Sin(Z)

F(Z) = G⁷(Z) = G(G(G(G(G(G(G(Z)))))))

x-axis	z-axis
re	im

Source code