Cyclide Necklace, Golden

The mathematics of stereographic projection retrieves this banded torus from the unit sphere in four-space. The bands' edges are circles, any two linked. The torus itself is gently tilted in four-space, giving its solid shadow in three-space an enticing asymmetry. More about the math behind this piece is explained in a shop blog post.

This delicate, one-of-a-kind 3/4in (20mm) pendant is 3D printed from 18K gold-plated brass, polished to a mirror luster on its outer surface, and paired with an 18-inch vermeil (gold-plated silver) split chain with a spring clasp. A black velvet storage bag is included.