Richard Kershner showed in 1939 that no arrangement of circles can cover the plane more efficiently than this hexagonal lattice arrangement.
12.
In three dimensions, the hexagonal lattice of 5-limit harmony extends to a lattice of type A 3 ~ D 3.
13.
The hexagonal crystal system consists of the seven point groups such that all their space groups have the hexagonal lattice as underlying lattice.
14.
I've got circles arranged in a closed-packed hexagonal lattice, and the circles are randomly painted black or white.
15.
This type of magnetic behavior has been found in minerals that have a crystal stacking structure such as a Kagome lattice or hexagonal lattice.
16.
The simple hexagonal lattice is therefore said to be self-dual, having the same symmetry in reciprocal space as in real space.
17.
The densest sphere packing of the plane is obtained by extending this pattern to the hexagonal lattice in which each circle touches just six others.
18.
The view perpendicular to the chimney axis is that of a hexagonal lattice with gallium atoms occupying the vertices and ruthenium atoms occupying the center.
19.
An example of biomimicry, the B Home derives inspiration from the key building block of a beehive, efficiently enclosing space with a hexagonal lattice.
20.
The remaining 6 generators, the ?ladder operators, correspond to the 6 roots arranged on the 2-dimensional hexagonal lattice of the figure.