Lissajous Curve Plotting in Desmos

Have you ever marveled at the intricate patterns formed by Lissajous curves? These mesmerizing curves are the result of simple harmonic motion in perpendicular directions, resulting in captivating shapes that are both mathematical and artistic.
The curves are defined by parametric equations of the form:
[ x(t) = A sin(a t + delta) ]
[ y(t) = B sin(b t) ]
where ( A ) and ( B ) are amplitudes, ( a ) and ( b ) are frequencies, and (delta) is a phase difference between the motions. By varying these parameters, a wide variety of shapes can be created, from simple ellipses and circles to more complex patterns.

Пікірлер: 14

  • @siddharthghantasala4209
    @siddharthghantasala42092 ай бұрын

    What's the equation for this?

  • @Codeynamics

    @Codeynamics

    2 ай бұрын

    x = sin (t/12), y = sin (t/11). t varied from 0 to 600 pi

  • @yepyen
    @yepyen2 ай бұрын

    I accidentally made this shit while coding in roblox lmao i was just trying to make a circle

  • @Codeynamics

    @Codeynamics

    2 ай бұрын

    😂😂😂

  • @Gordy-io8sb

    @Gordy-io8sb

    2 ай бұрын

    r/thathappened

  • @yepyen

    @yepyen

    2 ай бұрын

    @@Gordy-io8sb what does that mean redditor

  • @Gordy-io8sb

    @Gordy-io8sb

    2 ай бұрын

    @@yepyen No, you didn't. You clearly didn't.

  • @yepyen

    @yepyen

    2 ай бұрын

    @@Gordy-io8sb do you even know how lissajous curves work? The circle is being made by 1:1 ratio, if you try 2:1 it will turn into an elipse, rise the value and will get tighter and tighter eventually forming a straight line. I did something wrong and somehow it turned inside out like this. I even have proof if you want

  • @siddharthghantasala4209
    @siddharthghantasala42092 ай бұрын

    c:

  • @Codeynamics

    @Codeynamics

    2 ай бұрын

    😊😊