This interactive graph shows a sine wave wrapped around a figure 8 curve. The parametric equations are:
Base Figure 8: Uses a parametric lemniscate (figure 8) curve
With sine wave: Adds perpendicular oscillations along the figure 8 path
You can adjust:
- Figure 8 Size: Controls the overall size of the figure 8
- Width/Height Ratio: Adjusts the proportion of the figure 8 horizontally (default 1.5)
- Sine Amplitude: Controls how far the sine wave deviates from the figure 8
- Sine Frequency: Controls how many oscillations occur around the figure 8
- Rotation: Rotates the entire curve around the origin
- Resolution: Controls the number of points used to draw the curve (higher = smoother)
- Additional Curves: Add two more curves with a phase offset from the original
- Phase Offset: Determines how much the additional curves are shifted
- Zoom Controls: Adjust the view to see more or less of the curves