Vivace Silver, Second

One grid unit of this sterling silver piece (along the top, third from the end) is slightly flattened relative to the mathematical ideal.

Soap films present elegant saddle shapes. The catenoid, a surface of rotation, and the helicoid, a ruled surface made entirely of lines, have been known to mathematicians since the 18th century. The catenoid and helicoid are united in a one-parameter family of soap films. Our lively, ascending spiral is the halfway point.

This shapely 3/4 by 1-3/8 in (20 by 35mm) pendant is 3D printed from 92.5% sterling silver, polished to a mirror-like luster on its outer surfaces, and paired with an 18-inch 1.6 mm French rope chain with lobster-claw clasp.