Equiangular tight frames (ETFs) have emerged as a central construct in modern applied and theoretical mathematics, providing optimal arrangements of lines in high-dimensional Hilbert spaces. By ...

Equiangular lines are an elemental part of geometry. Mathematicians have discovered a tighter limit on the number of such lines that exist in every dimension. Imagine a set of many lines as in a dream ...

Once, walking the tideline on my first Greek island, I came upon a most beautiful oceanic artefact. It covered the palm of my hand and there weighed almost nothing: a glossy white fan of a shell, ...