ComplexPlane

Qualified name: manim.mobject.graphing.coordinate\_systems.ComplexPlane

class ComplexPlane(**kwargs)

Bases: NumberPlane

A NumberPlane specialized for use with complex numbers.

Examples

Example: ComplexPlaneExample

from manim import *

class ComplexPlaneExample(Scene):
    def construct(self):
        plane = ComplexPlane().add_coordinates()
        self.add(plane)
        d1 = Dot(plane.n2p(2 + 1j), color=YELLOW)
        d2 = Dot(plane.n2p(-3 - 2j), color=YELLOW)
        label1 = MathTex("2+i").next_to(d1, UR, 0.1)
        label2 = MathTex("-3-2i").next_to(d2, UR, 0.1)
        self.add(
            d1,
            label1,
            d2,
            label2,
        )

class ComplexPlaneExample(Scene):
    def construct(self):
        plane = ComplexPlane().add_coordinates()
        self.add(plane)
        d1 = Dot(plane.n2p(2 + 1j), color=YELLOW)
        d2 = Dot(plane.n2p(-3 - 2j), color=YELLOW)
        label1 = MathTex("2+i").next_to(d1, UR, 0.1)
        label2 = MathTex("-3-2i").next_to(d2, UR, 0.1)
        self.add(
            d1,
            label1,
            d2,
            label2,
        )

References: Dot MathTex

Methods

add_coordinates	Adds the labels produced from get_coordinate_labels() to the plane.
get_coordinate_labels	Generates the DecimalNumber mobjects for the coordinates of the plane.
n2p	Abbreviation for number_to_point().
number_to_point	Accepts a float/complex number and returns the equivalent point on the plane.
p2n	Abbreviation for point_to_number().
point_to_number	Accepts a point and returns a complex number equivalent to that point on the plane.

Attributes

always	Call a method on a mobject every frame.
animate	Used to animate the application of any method of self.
animation_overrides
color
depth	The depth of the mobject.
fill_color	If there are multiple colors (for gradient) this returns the first one
height	The height of the mobject.
n_points_per_curve
sheen_factor
stroke_color
width	The width of the mobject.

Parameters:

kwargs (Any)

_get_default_coordinate_values()

Generate a list containing the numerical values of the plane’s labels.

Returns:

A list of floats representing the x-axis and complex numbers representing the y-axis.

Return type:

List[float | complex]

_original__init__(**kwargs)

Initialize self. See help(type(self)) for accurate signature.

Parameters:

kwargs (Any)

add_coordinates(*numbers, **kwargs)

Adds the labels produced from get_coordinate_labels() to the plane.

Parameters:

• numbers (Iterable[float | complex]) – An iterable of floats/complex numbers. Floats are positioned along the x-axis, complex numbers along the y-axis.

• kwargs (Any) – Additional arguments to be passed to get_number_mobject(), i.e. DecimalNumber.

Return type:

Self

get_coordinate_labels(*numbers, **kwargs)

Generates the DecimalNumber mobjects for the coordinates of the plane.

Parameters:

• numbers (Iterable[float | complex]) – An iterable of floats/complex numbers. Floats are positioned along the x-axis, complex numbers along the y-axis.

• kwargs (Any) – Additional arguments to be passed to get_number_mobject(), i.e. DecimalNumber.

Returns:

A VGroup containing the positioned label mobjects.

Return type:

VGroup

n2p(number)

Abbreviation for number_to_point().

Parameters:

number (float | complex)

Return type:

ndarray

number_to_point(number)

Accepts a float/complex number and returns the equivalent point on the plane.

Parameters:

number (float | complex) – The number. Can be a float or a complex number.

Returns:

The point on the plane.

Return type:

np.ndarray

p2n(point)

Abbreviation for point_to_number().

Parameters:

point (Point3DLike)

Return type:

complex

point_to_number(point)

Accepts a point and returns a complex number equivalent to that point on the plane.

Parameters:

point (Point3DLike) – The point in manim’s coordinate-system

Returns:

A complex number consisting of real and imaginary components.

Return type:

complex