PolarPlane#

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

class PolarPlane(radius_max=4.0, size=None, radius_step=1, azimuth_step=None, azimuth_units='PI radians', azimuth_compact_fraction=True, azimuth_offset=0, azimuth_direction='CCW', azimuth_label_buff=0.1, azimuth_label_font_size=24, radius_config=None, background_line_style=None, faded_line_style=None, faded_line_ratio=1, make_smooth_after_applying_functions=True, **kwargs)[source]#

Bases: Axes

Creates a polar plane with background lines.

Parameters:

  • azimuth_step (float | None) –

    The number of divisions in the azimuth (also known as the angular coordinate or polar angle). If None is specified then it will use the default specified by azimuth_units:

    • "PI radians" or "TAU radians": 20

    • "degrees": 36

    • "gradians": 40

    • None: 1

    A non-integer value will result in a partial division at the end of the circle.

  • size (float | None) – The diameter of the plane.

  • radius_step (float) – The distance between faded radius lines.

  • radius_max (float) – The maximum value of the radius.

  • azimuth_units (str | None) –

    Specifies a default labelling system for the azimuth. Choices are:

    • "PI radians": Fractional labels in the interval \(\left[0, 2\pi\right]\) with \(\pi\) as a constant.

    • "TAU radians": Fractional labels in the interval \(\left[0, \tau\right]\) (where \(\tau = 2\pi\)) with \(\tau\) as a constant.

    • "degrees": Decimal labels in the interval \(\left[0, 360\right]\) with a degree (\(^{\circ}\)) symbol.

    • "gradians": Decimal labels in the interval \(\left[0, 400\right]\) with a superscript “g” (\(^{g}\)).

    • None: Decimal labels in the interval \(\left[0, 1\right]\).

  • azimuth_compact_fraction (bool) – If the azimuth_units choice has fractional labels, choose whether to combine the constant in a compact form \(\tfrac{xu}{y}\) as opposed to \(\tfrac{x}{y}u\), where \(u\) is the constant.

  • azimuth_offset (float) – The angle offset of the azimuth, expressed in radians.

  • azimuth_direction (str) –

    The direction of the azimuth.

    • "CW": Clockwise.

    • "CCW": Anti-clockwise.

  • azimuth_label_buff (float) – The buffer for the azimuth labels.

  • azimuth_label_font_size (float) – The font size of the azimuth labels.

  • radius_config (dict[str, Any] | None) – The axis config for the radius.

  • background_line_style (dict[str, Any] | None) –

  • faded_line_style (dict[str, Any] | None) –

  • faded_line_ratio (int) –

  • make_smooth_after_applying_functions (bool) –

  • kwargs (Any) –

Examples

Example: PolarPlaneExample

../_images/PolarPlaneExample-1.png 
from manim import *

class PolarPlaneExample(Scene):
    def construct(self):
        polarplane_pi = PolarPlane(
            azimuth_units="PI radians",
            size=6,
            azimuth_label_font_size=33.6,
            radius_config={"font_size": 33.6},
        ).add_coordinates()
        self.add(polarplane_pi)

class PolarPlaneExample(Scene):
    def construct(self):
        polarplane_pi = PolarPlane(
            azimuth_units="PI radians",
            size=6,
            azimuth_label_font_size=33.6,
            radius_config={"font_size": 33.6},
        ).add_coordinates()
        self.add(polarplane_pi)

References: PolarPlane

Methods

add_coordinates

Adds the coordinates.

get_axes

Gets the axes.

get_coordinate_labels

Gets labels for the coordinates

get_radian_label

get_vector

prepare_for_nonlinear_transform

Attributes

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.
_get_lines()[source]#

Generate all the lines and circles, faded and not faded.

Returns:

The first (i.e the non faded lines and circles) and second (i.e the faded lines and circles) sets of lines and circles, respectively.

Return type:

Tuple[VGroup, VGroup]

_init_background_lines()[source]#

Will init all the lines of NumberPlanes (faded or not)

Return type:

None

_original__init__(radius_max=4.0, size=None, radius_step=1, azimuth_step=None, azimuth_units='PI radians', azimuth_compact_fraction=True, azimuth_offset=0, azimuth_direction='CCW', azimuth_label_buff=0.1, azimuth_label_font_size=24, radius_config=None, background_line_style=None, faded_line_style=None, faded_line_ratio=1, make_smooth_after_applying_functions=True, **kwargs)#

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

Parameters:

  • radius_max (float) –

  • size (float | None) –

  • radius_step (float) –

  • azimuth_step (float | None) –

  • azimuth_units (str | None) –

  • azimuth_compact_fraction (bool) –

  • azimuth_offset (float) –

  • azimuth_direction (str) –

  • azimuth_label_buff (float) –

  • azimuth_label_font_size (float) –

  • radius_config (dict[str, Any] | None) –

  • background_line_style (dict[str, Any] | None) –

  • faded_line_style (dict[str, Any] | None) –

  • faded_line_ratio (int) –

  • make_smooth_after_applying_functions (bool) –

  • kwargs (Any) –

Return type:

None

add_coordinates(r_values=None, a_values=None)[source]#

Adds the coordinates.

Parameters:

  • r_values (Optional[Iterable[float]]) – Iterable of values along the radius, by default None.

  • a_values (Optional[Iterable[float]]) – Iterable of values along the azimuth, by default None.

Return type:

Self

get_axes()[source]#

Gets the axes.

Returns:

A pair of axes.

Return type:

VGroup

get_coordinate_labels(r_values=None, a_values=None, **kwargs)[source]#

Gets labels for the coordinates

Parameters:

  • r_values (Optional[Iterable[float]]) – Iterable of values along the radius, by default None.

  • a_values (Optional[Iterable[float]]) – Iterable of values along the azimuth, by default None.

  • kwargs (Any) –

Returns:

Labels for the radius and azimuth values.

Return type:

VDict