E1: Run the animation and rotate the 3D frame. Follow the band around its periphery with the mouse pointer to confirm that it has a single surface, yet two sides.
E2: Choose a = 0. You will see a truncated, reversing cone. With b = 0 a breathing ring is displayed.
E3: Reset. Vary a from 1 to a slightly higher value. The band will be cut. When will it be closed again?
E4: When do you get Möbius type strips, when normal bands?
E5: Change signs in the formulas and observe the results.
E6: Make more drastic changes in the formulas, trying to still create bands.
E7: Consider beforehand what kind of band will be created by a certain change.
E8: Work with different modulation terms.
E9: Delete the modulation term and use the now free parameter v in the formulas.
E10: Load the Camera Inspector (use the right mouse key, search in the uppermost line of the appearing context menu). Test the various projections. Change a and interpret the results.
E11: Can you construct formulas for a band with a knot?