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A honeycomb is a mass of hexagonal wax cells built by honeybees in their nests to contain their larvae and stores of honey and pollen. The term is also used for manmade materials that resemble it in appearance or structure.

Honeycomb is essentially the furniture in the bees' home. Beekeepers may remove the entire honeycomb to harvest honey. The honey is removed from the comb by uncapping and extracting in a centrifugal machine. Fresh, new comb is sometimes sold and used intact as "comb honey", especially if the honey is being spread on bread rather than used in cooking or to sweeten tea. Some believe that this benefits one's physical and mental health.

1 Honeycomb geometry

The axes of honeycomb cells are always quasi-horizontal, and the non-angled rows of honeycomb cells are always horizontally (not vertically) aligned. Thus, each cell has two vertical walls, with "floors" and "ceilings" composed of two angled walls. The cells slope slightly upwards towards the open ends.

There are two possible explanations for the reason that honeycomb is composed of hexagons, rather than any other shape. One is that the hexagon tiles the plane with minimal perimeter per piece area. Thus a hexagonal structure uses the least material to create a lattice of cells with a given volume. Another, given D'Arcy Wentworth Thompson, is that the shape simply results from the process of individual bees putting cells together: somewhat analogous to the boundary shapes created in a field of soapbubbles. In support of this he notes that queen cells, which are constructed singly, are irregular and lumpy with no apparent attempt at efficiency.

It is likely that the honeybee constructs the honeycomb based on instinct, and the prevailing theory of biology is that the appearance of such efficient shapes in nature is a result of natural selection.

The closed ends of the honeycomb cells are also an example of geometric efficiency, albeit three-dimensional and little-noticed. The ends are trihedral (i.e., composed of three planes) pyramidal in shape, with the dihedral angles of all adjacent surfaces measuring 120°, the angle that minimizes surface area for a given volume. (The angle formed by the edges at the pyramidal apex is approximately 109° 28' 16" (= 180° - arccos(1/3)).)

The shape of the cells is such that two opposing honeycomb layers nest into each other, with each facet of the closed ends being shared by opposing cells.

Individual cells do not, of course, show this geometrical perfection: in a regular comb, there are deviations of a few percent from the "perfect" hexagonal shape. When the bees encounter obstacles the shapes are often distorted.

In 1965, L. Fejes Tóth discovered that the trihedral pyramidal shape (which is composed of three rhombusIn geometry, a rhombus (also known as a rhomb is a parallelogram in which all of the sides are of equal length. More colloquially it may be described as a diamond or lozenge shape. In any rhombus, opposite sides will be parallel. Thus, the rhombus is a spes) used by the honeybee is not the theoretically optimal three-dimensional geometry. A cell end composed of two hexagons and two smaller rhombuses would actually be .035% (or approximately 1 part per 2850) more efficient. This difference would be too small to measure on an actual honeycomb.

2 References

• Thompson, D'Arcy Wentworth (1942). On Growth and Form. Dover Publications. BooksEnthsiast.com.
• "The Mathematics of the Honeycomb" (June 1985). Science Digest, pp. 74-77.

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Honeycomb is also a brand of cereal that is made by PostPost Cereals formerly Postum Cereals was founded by C. It began in 1895 with the first Postum, a "cereal beverage", developed by Post in Battle Creek, Michigan. The first cereal, Grape-Nuts was developed in 1897. The Postum Cereals company, after acquirin.