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We produce an explicit parameterization of well-rounded sublat-tices of the hexagonal lattice in the plane, splitting them into similarity classes. We use this parameterization to study the number, the greatest minimal norm, and the highest signal-to-noise ratio of well-rounded sublattices of the hexagonal lattice of a fixed index. This investigation… (More)

- R Andrew Ohana
- 2009

Kepler's Conjecture, recently proved by T. Hales, states that the densest packing of spheres in 3-space has spheres centered along the face-centered cubic (fcc) lattice. A lattice is a free Z-module formed by taking the span of a collection of linearly independent vectors in R N over the integers. The two-dimensional analogue of Kepler's Conjecture, proved… (More)

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