Codes i’ve created for mine cymatics experiment 🫶

Cymatics experiments visually demonstrate how vibrations create patterns in various media, such as sand, water, or other particles. These patterns arise from wave propagation, which can be mathematically described using ordinary differential equations (ODEs). By coding ODEs in web-based environments like JSFiddle, one can simulate and visualize the behavior of these patterns interactively. In a cymatics simulation, key parameters such as frequency, amplitude, and damping factor are manipulated to represent how waves oscillate and dissipate energy over time. Frequency controls the speed of vibration cycles per second, amplitude affects the magnitude of the wave's displacement, and damping represents energy loss that gradually reduces the vibrations. For instance, by setting frequency to 10, amplitude to 0.5, and a damping coefficient of 0.985, you can model a realistic simulation where vibrations slowly diminish but maintain a stable cyclic pattern. Using HTML and CSS eases the visualization by structuring and styling the output, while JavaScript handles the dynamic equation solving and animation. Such experiments have practical applications in acoustics, material science, and art installations, helping to analyze wave behavior in controlled settings. They are excellent educational tools for illustrating complex wave mechanics through interactive software that anyone can customize and explore from a browser. When creating your code, ensure your ODE solver accurately captures the interplay between those parameters to reflect the physics properly. Using separate code panels to manage HTML, CSS, and JavaScript enhances readability and debugging efficiency. This modular approach lets you refine the visual aspects independently from the simulation logic. Overall, programming ODEs for cymatics combines physics, math, and creative coding to unlock unique insights into vibrational phenomena and their visual manifestations.