Crystal Sapphire Rivoli Kaleidoscopes

I made a set of Rivoli Kaleidoscope pendants with a sapphire rivoli for the center, and aquamarine and crystal AB one-hole rivoli pendants. The three pendants differ by the size of the center rivoli, the number of beads used, and the fold of the rotational symmetry of the pendant. The first follows the original pattern, and has 8-fold rotational symmetry:

The second pendant uses a slightly larger rivoli, which requires 9-fold rotational symmetry for the bezel to encompass the rivoli:
Continuing in this theme, an even larger rivoli requires 10-fold rotational symmetry:
Of course, rotational symmetry isn't the only example of geometry going on in this design; it also has reflection symmetry. Can you find all of its axes of symmetry?

The Rivoli Kaleidoscope pattern is available exclusively at my website if you'd like to make your own.