Lissajous Play vs Wave Interference Simulator

Use Lissajous Play to explore Lissajous figures by adjusting all the variable parameter to your desires. The basics are that there are two sine waves being used to determine the plot coordinates, one driving the x value and the other driving the y value. If these are in phase, and the same frequency, then you get a stright diagonal line; push the y data 90º (π/4 radians) out of phase and you get a circle. The phase slider lets you vary the phase between 0-360º ( 0 - 2π radians) With the x & y frequencies as Integers the Lissajous will be a closed loop. Varying the x&y frequencies will produce interesting shapes with which you can animate the phase, or watch the shape traced out over time. If the line length is at max then a closed loop shape will only trace once. If one, or both, of the frequencies are not intergers then things get interesting, as it's not a closed loop the trace will continue to draw and get more complex, adjusting the phase adds even more interest. Adjust the background/plot colours, line width/shadow, to pleasing artistic effect. A must have for physics and engineering students, or just for interest and fun. Have fun, and share your work...

The perfect app for high school physics education, offering real-time, visual simulations of wave interference and reflection. 【Key Features】 Intuitively control and observe complex phenomena like wave interference (interference fringes, antinodes, nodes) and reflection (fixed and free ends)—concepts that are often hard to grasp through textbooks alone—right on your smartphone or tablet. Spherical & Plane Wave Placement: Freely position up to two wave sources, with fully customizable wavelengths, frequencies, and phase inversions. Reflection Wall Simulation: Place a reflecting wall (fixed or free end) to visualize reflected waves, virtual wave sources, and even what happens behind the wall in real-time. Interference Line Display: Highlight antinodal lines, nodal lines, and moving interference points to logically understand the mechanics behind wave interference. Total Control: Supports fast-forward, rewind, and frame-by-frame playback. Zoom in and out with a simple pinch, and use smooth scrolling to observe every detail. Classroom & Projector Ready: Includes a "Bold Display" mode for clear screen projection, along with slow-motion and frame-by-frame playback features. 【Recommended For】 - Anyone who wants to appreciate the visual beauty of physics phenomena. - High school and college prep students looking for hands-on understanding of wave superposition and interference. - Teachers seeking interactive, visual educational tools for their classrooms.