paths#

Functions determining transformation paths between sets of points.

Functions

clockwise_path()[source]#

This function transforms each point by moving clockwise around a half circle.

Examples

Example: ClockwisePathExample

from manim import *

class ClockwisePathExample(Scene):
    def construct(self):
        colors = [RED, GREEN, BLUE]

        starting_points = VGroup(
            *[
                Dot(LEFT + pos, color=color)
                for pos, color in zip([UP, DOWN, LEFT], colors)
            ]
        )

        finish_points = VGroup(
            *[
                Dot(RIGHT + pos, color=color)
                for pos, color in zip([ORIGIN, UP, DOWN], colors)
            ]
        )

        self.add(starting_points)
        self.add(finish_points)
        for dot in starting_points:
            self.add(TracedPath(dot.get_center, stroke_color=dot.get_color()))

        self.wait()
        self.play(
            Transform(
                starting_points,
                finish_points,
                path_func=utils.paths.clockwise_path(),
                run_time=2,
            )
        )
        self.wait()
Return type

Callable[[numpy.ndarray, numpy.ndarray, float], numpy.ndarray]

counterclockwise_path()[source]#

This function transforms each point by moving counterclockwise around a half circle.

Examples

Example: CounterclockwisePathExample

from manim import *

class CounterclockwisePathExample(Scene):
    def construct(self):
        colors = [RED, GREEN, BLUE]

        starting_points = VGroup(
            *[
                Dot(LEFT + pos, color=color)
                for pos, color in zip([UP, DOWN, LEFT], colors)
            ]
        )

        finish_points = VGroup(
            *[
                Dot(RIGHT + pos, color=color)
                for pos, color in zip([ORIGIN, UP, DOWN], colors)
            ]
        )

        self.add(starting_points)
        self.add(finish_points)
        for dot in starting_points:
            self.add(TracedPath(dot.get_center, stroke_color=dot.get_color()))

        self.wait()
        self.play(
            Transform(
                starting_points,
                finish_points,
                path_func=utils.paths.counterclockwise_path(),
                run_time=2,
            )
        )
        self.wait()
Return type

Callable[[numpy.ndarray, numpy.ndarray, float], numpy.ndarray]

path_along_arc(arc_angle, axis=array([0., 0., 1.]))[source]#

This function transforms each point by moving it along a circular arc.

Parameters
  • arc_angle (float) – The angle each point traverses around a circular arc.

  • axis (numpy.ndarray) – The axis of rotation.

Return type

Callable[[numpy.ndarray, numpy.ndarray, float], numpy.ndarray]

Examples

Example: PathAlongArcExample

from manim import *

class PathAlongArcExample(Scene):
    def construct(self):
        colors = [RED, GREEN, BLUE]

        starting_points = VGroup(
            *[
                Dot(LEFT + pos, color=color)
                for pos, color in zip([UP, DOWN, LEFT], colors)
            ]
        )

        finish_points = VGroup(
            *[
                Dot(RIGHT + pos, color=color)
                for pos, color in zip([ORIGIN, UP, DOWN], colors)
            ]
        )

        self.add(starting_points)
        self.add(finish_points)
        for dot in starting_points:
            self.add(TracedPath(dot.get_center, stroke_color=dot.get_color()))

        self.wait()
        self.play(
            Transform(
                starting_points,
                finish_points,
                path_func=utils.paths.path_along_arc(TAU * 2 / 3),
                run_time=3,
            )
        )
        self.wait()
path_along_circles(arc_angle, circles_centers, axis=array([0., 0., 1.]))[source]#

This function transforms each point by moving it roughly along a circle, each with its own specified center.

The path may be seen as each point smoothly changing its orbit from its starting position to its destination.

Parameters
  • arc_angle (float) – The angle each point traverses around the quasicircle.

  • circles_centers (numpy.ndarray) – The centers of each point’s quasicircle to rotate around.

  • axis (numpy.ndarray) – The axis of rotation.

Return type

Callable[[numpy.ndarray, numpy.ndarray, float], numpy.ndarray]

Examples

Example: PathAlongCirclesExample

from manim import *

class PathAlongCirclesExample(Scene):
    def construct(self):
        colors = [RED, GREEN, BLUE]

        starting_points = VGroup(
            *[
                Dot(LEFT + pos, color=color)
                for pos, color in zip([UP, DOWN, LEFT], colors)
            ]
        )

        finish_points = VGroup(
            *[
                Dot(RIGHT + pos, color=color)
                for pos, color in zip([ORIGIN, UP, DOWN], colors)
            ]
        )

        self.add(starting_points)
        self.add(finish_points)
        for dot in starting_points:
            self.add(TracedPath(dot.get_center, stroke_color=dot.get_color()))

        circle_center = Dot(3 * LEFT)
        self.add(circle_center)

        self.wait()
        self.play(
            Transform(
                starting_points,
                finish_points,
                path_func=utils.paths.path_along_circles(
                    2 * PI, circle_center.get_center()
                ),
                run_time=3,
            )
        )
        self.wait()
spiral_path(angle, axis=array([0., 0., 1.]))[source]#

This function transforms each point by moving along a spiral to its destination.

Parameters
  • angle (float) – The angle each point traverses around a spiral.

  • axis (numpy.ndarray) – The axis of rotation.

Return type

Callable[[numpy.ndarray, numpy.ndarray, float], numpy.ndarray]

Examples

Example: SpiralPathExample

from manim import *

class SpiralPathExample(Scene):
    def construct(self):
        colors = [RED, GREEN, BLUE]

        starting_points = VGroup(
            *[
                Dot(LEFT + pos, color=color)
                for pos, color in zip([UP, DOWN, LEFT], colors)
            ]
        )

        finish_points = VGroup(
            *[
                Dot(RIGHT + pos, color=color)
                for pos, color in zip([ORIGIN, UP, DOWN], colors)
            ]
        )

        self.add(starting_points)
        self.add(finish_points)
        for dot in starting_points:
            self.add(TracedPath(dot.get_center, stroke_color=dot.get_color()))

        self.wait()
        self.play(
            Transform(
                starting_points,
                finish_points,
                path_func=utils.paths.spiral_path(2 * TAU),
                run_time=5,
            )
        )
        self.wait()
straight_path(*args)[source]#

Simplest path function. Each point in a set goes in a straight path toward its destination.

Examples

Example: StraightPathExample

from manim import *

class StraightPathExample(Scene):
    def construct(self):
        colors = [RED, GREEN, BLUE]

        starting_points = VGroup(
            *[
                Dot(LEFT + pos, color=color)
                for pos, color in zip([UP, DOWN, LEFT], colors)
            ]
        )

        finish_points = VGroup(
            *[
                Dot(RIGHT + pos, color=color)
                for pos, color in zip([ORIGIN, UP, DOWN], colors)
            ]
        )

        self.add(starting_points)
        self.add(finish_points)
        for dot in starting_points:
            self.add(TracedPath(dot.get_center, stroke_color=dot.get_color()))

        self.wait()
        self.play(
            Transform(
                starting_points,
                finish_points,
                path_func=utils.paths.straight_path(),
                run_time=2,
            )
        )
        self.wait()
Return type

Callable[[numpy.ndarray, numpy.ndarray, float], numpy.ndarray]