Movement

The defined movement Animation in movement.py

• movement.Homotopy(Animation)
  • movement.SmoothedVectorizedHomotopy(Homotopy)
  • movement.ComplexHomotopy(Homotopy)
• movement.PhaseFlow(Animation)
• movement.MoveAlongPath(Animation)

Class Homotopy(Animation)

Homotopy is used to move the specified VMobject animatedly according to the specified function (x,y,y,z,t) for given parameters.

Class SmoothedVectorizedHomotopy(Homotopy)

SmoothedVectorizedHomotopy is used to move the specified VMobject animatedly with smooth mode according to the specified function (x,y,y,z,t) for given parameters.

Class ComplexHomotopy(Homotopy)

ComplexHomotopy is used to move the specified VMobject animatedly according to the specified function (complex(real,imagine),t) for given parameters.

Example

Code

# folder/file: tut/manim_animation_homotopysmoothedvectorizedcomplex_001a.py

import numpy as np
from manimlib.scene.scene import Scene
from manimlib.mobject.geometry import Circle, Square
from manimlib.mobject.svg.tex_mobject import TextMobject
from manimlib.animation.composition import AnimationGroup
from manimlib.animation.creation import ShowCreation, AddTextWordByWord, Write
from manimlib.animation.movement import Homotopy, SmoothedVectorizedHomotopy, ComplexHomotopy

class manim_animation_homotopysmoothedvectorizedcomplex_001a(Scene): 
   def construct(self):
        self.add(TextMobject("Homotopy").set_color("FF3300").move_to([0,3.5,0]),TextMobject("SmoothedVectorizedHomotopy").set_color("888888").move_to([0,1,0]),TextMobject("ComplexHomotopy").set_color("33FF00").move_to([0,-1.5,0]))
        def funcreal(x,y,z,t):
           return (x+np.sin(20*t),y+np.cos(20*t)+0.2*t,z)
        def funccomp(c,t):
           return complex(c.real+np.sin(20*t),c.imag+np.cos(20*t)+0.2*t)
        self.play(AnimationGroup(Homotopy(funcreal, Circle().set_color("FF3300").scale(2.5)),SmoothedVectorizedHomotopy(funcreal, Circle().set_color("888888").scale(1.8)),ComplexHomotopy(funccomp,Circle().set_color("33FF00").scale(0.6))),run_time=15)
        self.wait(3)

Output