Tuesday, February 7, 2012

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.


  1. The reflection symmetries are planes of symmetry (because it's a 3D object), whereas the rotational symmetries are axes of symmetry, again because it's 3D. In any case, the color combination is really dazzling. I want to take one of these out in the sunshine and watch is sparkle.

  2. Ah yes, the reflection symmetries are indeed planes instead of axes. Thanks for the correction! Since it's not a more complex structure like a dodecahedron, I think tend to think of this design in 2D (even though it's most certainly in 3D).

  3. WoW! Absolutely stunning! I just started working with rivolis, (finishing up my 1st one now, actually) and aspire to make pieces as gorgeous as yours eventually! Love it!

  4. Thanks Rita! I feel like I'm still getting to know rivolis, even after working with them for a few years. I'd love to see your rivoli piece!

  5. love these..how much is the pattern?

    1. Thanks Mary! You can find the pattern and kits for this design available at this link: http://www.beadorigami.com/patterns/rivoli_kaleidoscope.html


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