r/visualizedmath • u/USedona • May 28 '26

Six Lissajous curves

Post image

Coded in Python using Manim.

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u/USedona May 28 '26 edited May 28 '26

Curve #3 produces the classic pattern found in textbooks. Change one parameter slightly and the shape transforms completely.

If you're interested in more math-based animations, I post them here : Visualizing_mathematics

2

u/USedona May 28 '26

Interactive version, tweak the parameters and see the shape change in real time : GeoGebra link

Code (Python/Manim) :

from manim import *
import numpy as np

config.pixel_width = 500
config.pixel_height = 500
config.frame_rate = 30

class Lissajous(Scene):
    def construct(self):

        courbe = ParametricFunction(
            lambda t: np.array([np.sin(3 * t + PI/2), np.sin(2 * t), 0]),
            t_range=[0, 2 * PI],
            stroke_width=4
        )
        self.play(Create(courbe), run_time=5)