eigenheart earrings

A pair of earrings: a heart drawn by eigenvalues

Fill an n × n matrix with the Fourier coefficients of one function, a(t), each diagonal constant. Now let n grow. The eigenvalues stop scattering and line up along a single curve: this heart. We gave it volume and cast it.

a(t) = (1 − t)^0.9 (1 − 1/t)^−0.35Tₙ(a) = (aⱼ₋ₖ), n → ∞

Finish

€69.00

No VAT charged under §19 UStG. Plus shipping.

Size
≈ 12 × 10 mm each
Weight
≈ 4.9 g
Material
316L stainless steel, PVD

The heart-shaped cloud of eigenvalues of a Toeplitz matrix, inflated into a sphere-like heart with a flat loop in the notch. Scaled down, as a pair on stainless-steel ear hooks.

eigenheart earrings

Worn and boxed

eigenheart earrings eigenheart earrings

The photos are AI-generated visualisations of the real design.