Honeycomb aligned. Thus, each cell has two vertically oriented walls, with the upper and lower parts of the cells composed of two angled walls. The open end of a cell is typically referred to as the top of the cell, while the opposite end is called the bottom. The cells slope slightly upwards, between 9 and 14°, towards the open ends. Two possible explanations exist as to why honeycomb is composed of hexagons, rather than any other shape. First, the hexagonal tiling creates a partition with equal-sized cells, while minimizing the total perimeter of the cells. Known in geometry as the
Cubic-octahedral honeycomb There are 5 related uniform honeycombs generated within the same family, generated with 2 or more rings of the Coxeter group : , , , , . The rectified cubic-octahedral honeycomb is a compact uniform honeycomb, constructed from cuboctahedron, and rhombicuboctahedron cells, in a cuboid vertex figure. It has a Coxeter diagram . The cyclotruncated cubic-octahedral honeycomb is a compact uniform honeycomb, constructed from truncated cube, octahedron cells, in a square antiprism vertex figure. It has a Coxeter diagram . It can be seen as somewhat analogous to the trioctagonal tiling with truncated square and triangle facets: The cyclotruncated octahedral-cubic