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 ...

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 ...

https://doi.org/10.4169/amer.math.monthly.120.09.849 https://www.jstor.org/stable/10.4169/amer.math.monthly.120.09.849 Abstract We survey results on equiangular n ...

A square wheel may be the ultimate flat tire. There’s no way it can roll over a flat, smooth road without a sequence of jarring bumps. Equiangular spiral on a sawtooth road. Stan Wagon, a ...

Sure, you can cut a pie into pieces, but what if it’s in four dimensions? Using spectral graph theory, mathematicians have solved a decades-old problem. Graph theory uses nodes and edges (dots and ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

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, ...

How can a building of architecture grow? The clue to the answer might be found in the shells of mollusks. The exhibition displays 400 and more kinds of shell specimens collected from all over the ...