A honeycomb is a mass of
hexagonal prismatic cells built from
beeswax
Bee hive wax complex
Beeswax (also known as cera alba) is a natural wax produced by honey bees of the genus ''Apis''. The wax is formed into scales by eight wax-producing glands in the abdominal segments of worker bees, which discard it in o ...
by
honey bee
A honey bee (also spelled honeybee) is a eusocial flying insect within the genus ''Apis'' of the bee clade, all native to mainland Afro-Eurasia. After bees spread naturally throughout Africa and Eurasia, humans became responsible for the ...
s in their
nests to contain their brood (
eggs,
larva
A larva (; : larvae ) is a distinct juvenile form many animals undergo before metamorphosis into their next life stage. Animals with indirect development such as insects, some arachnids, amphibians, or cnidarians typically have a larval phase ...
e, and
pupa
A pupa (; : pupae) is the life stage of some insects undergoing transformation between immature and mature stages. Insects that go through a pupal stage are holometabolous: they go through four distinct stages in their life cycle, the stages th ...
e) and stores of
honey
Honey is a sweet and viscous substance made by several species of bees, the best-known of which are honey bees. Honey is made and stored to nourish bee colonies. Bees produce honey by gathering and then refining the sugary secretions of pl ...
and
pollen
Pollen is a powdery substance produced by most types of flowers of seed plants for the purpose of sexual reproduction. It consists of pollen grains (highly reduced Gametophyte#Heterospory, microgametophytes), which produce male gametes (sperm ...
.
Beekeepers may remove the entire honeycomb to harvest honey. Honey bees consume about of honey to secrete of wax, and so beekeepers may return the wax to the hive after harvesting the honey to improve honey outputs. The structure of the comb may be left basically intact when honey is extracted from it by uncapping and spinning in a centrifugal
honey extractor. If the honeycomb is too worn out, the wax can be reused in a number of ways, including making sheets of comb
foundation with a hexagonal pattern. Such foundation sheets allow the bees to build the comb with less effort, and the hexagonal pattern of
worker-sized cell bases discourages the bees from building the larger
drone cells. 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 as a sweetener.
Broodcomb becomes dark over time, due to empty cocoons and shed larval skins embedded in the cells, alongside being walked over constantly by other bees, resulting in what is referred to as a 'travel stain' by beekeepers when seen on frames of comb honey. Honeycomb in the "
supers" that are not used for brood (e.g. by the placement of a
queen excluder) stays light-colored.
Numerous
wasp
A wasp is any insect of the narrow-waisted suborder Apocrita of the order Hymenoptera which is neither a bee nor an ant; this excludes the broad-waisted sawflies (Symphyta), which look somewhat like wasps, but are in a separate suborder ...
s, especially
Polistinae and
Vespinae, construct hexagonal prism-packed combs made of paper instead of wax; in some species (such as ''
Brachygastra mellifica''), honey is stored in the nest, thus technically forming a paper honeycomb. However, the term "honeycomb" is not often used for such structures.
Geometry
The axes of honeycomb cells are always nearly horizontal, with the open end higher than the back end. 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
In mathematics, the slope or gradient of a Line (mathematics), line is a number that describes the direction (geometry), direction of the line on a plane (geometry), plane. Often denoted by the letter ''m'', slope is calculated as the ratio of t ...
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
A perimeter is the length of a closed boundary that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional line. The perimeter of a circle or an ellipse is called its circumference.
Calculating the perimet ...
of the cells. Known in
geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
as the
honeycomb theorem, this was conjectured by
Jan Brożek and mathematically proven much later by
Thomas Hales. Thus, a hexagonal structure uses the least material to create a lattice of cells within a given
volume
Volume is a measure of regions in three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch) ...
. A second reason, given by
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
soap bubble
A soap bubble (commonly referred to as simply a bubble) is an extremely thin soap film, film of soap or detergent and water enclosing air that forms a hollow sphere with an iridescent surface. Soap bubbles usually last for only a few seconds b ...
s. In support of this, he notes that queen cells, which are constructed singly, are irregular and lumpy with no apparent attempt at efficiency.
The closed ends of the honeycomb cells are also an example of geometric efficiency, though three-
dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coo ...
al.
The ends are trihedral (i.e., composed of three planes) sections of
rhombic dodecahedra, with the
dihedral angles of all adjacent surfaces measuring 120°, the angle that minimizes
surface area
The surface area (symbol ''A'') of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the d ...
for a given volume. (The angle formed by the edges at the pyramidal apex, known as the
tetrahedral angle, is approximately 109° 28' 16" ()
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 show this geometric perfection: in a regular comb, deviations of a few ]percent
In mathematics, a percentage () is a number or ratio expressed as a fraction of 100. It is often denoted using the ''percent sign'' (%), although the abbreviations ''pct.'', ''pct'', and sometimes ''pc'' are also used. A percentage is a dime ...
from the "perfect" hexagonal shape occur.[ In transition zones between the larger cells of drone comb and the smaller cells of worker comb, or when the bees encounter obstacles, the shapes are often distorted. Cells are also angled up about 13° from horizontal to prevent honey from dripping out.
In 1965, László Fejes Tóth discovered that the trihedral pyramidal shape (which is composed of three ]rhombi
In plane Euclidean geometry, a rhombus (: rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. The rhom ...
) used by the honeybee is not the theoretically optimal three-dimensional geometry. A cell end composed of two hexagons and two smaller rhombi would actually be .035% (or about one part per 2850) more efficient. This difference is too minute to measure on an actual honeycomb, and irrelevant to the hive economy in terms of efficient use of wax, considering wild comb varies considerably from any mathematical notion of "ideal" geometry.
Role of wax temperature
Bees use their antennae, mandibles and legs to manipulate the wax during comb construction, while actively warming the wax. During the construction of hexagonal cells, wax temperature is between , well below the temperature at which wax is assumed to be liquid for initiating new comb construction.[ The body temperature of bees is a factor for regulating an ideal wax temperature for building the comb.]
Gallery
File:Western honey bee on a honeycomb.jpg, A Western honey bee on a honeycomb
File:Honeycomb-Process.png, The bees begin to build the comb from the top of each section. When a cell is filled with honey, the bees seal it with wax.
File:BDHoneycomb.JPG, Natural honeycombs on a building
File:Bienenwabe mit Eiern und Brut 5.jpg, Honeycomb with eggs and larva
A larva (; : larvae ) is a distinct juvenile form many animals undergo before metamorphosis into their next life stage. Animals with indirect development such as insects, some arachnids, amphibians, or cnidarians typically have a larval phase ...
e
File:Apis florea nest closeup2.jpg, Closeup of an abandoned '' Apis florea'' nest in Thailand
Thailand, officially the Kingdom of Thailand and historically known as Siam (the official name until 1939), is a country in Southeast Asia on the Mainland Southeast Asia, Indochinese Peninsula. With a population of almost 66 million, it spa ...
. The hexagonal grid of wax cells on either side of the nest are slightly offset from each other. This increases the strength of the comb and reduces the amount of wax required to produce a robust structure.
File:Honey comb.jpg, Honeycomb
File:Natural Beehive and Honeycombs.jpg, The lower part of the natural comb of '' Apis dorsata'' has a number of unoccupied cells
File:Bienenwabe Ausbau der Mittelwand 79a.jpg, "Artificial honeycomb" foundation plate in which bees have already completed some cells
File:TransitionalHoney.jpg, Honeycomb section containing transition from worker to drone (larger) cells – here bees make irregular and five-cornered cells (marked with red dots)
File:Western Honey Bees and Honeycomb.JPG, Western honeybees and honeycomb
File:Machine-made honeycombs.jpg, Honeycombs made by machine with beeswax and with the whole structure of the hexagonal cell already built
File:Coat of Arms of Viļāni.svg, Coat of arms of the town of Viļāni, Latvia
File:Honeycomb 091f.jpg, Langstroth frame of honeycomb with honey
Honey is a sweet and viscous substance made by several species of bees, the best-known of which are honey bees. Honey is made and stored to nourish bee colonies. Bees produce honey by gathering and then refining the sugary secretions of pl ...
in the upper left and pollen
Pollen is a powdery substance produced by most types of flowers of seed plants for the purpose of sexual reproduction. It consists of pollen grains (highly reduced Gametophyte#Heterospory, microgametophytes), which produce male gametes (sperm ...
in most of the rest of the cells
File:Waxing Honeycombs on the grill.jpg, Cooking a grilled honeycomb with larvae at the Oudong Market in Cambodia
Cambodia, officially the Kingdom of Cambodia, is a country in Southeast Asia on the Mainland Southeast Asia, Indochinese Peninsula. It is bordered by Thailand to the northwest, Laos to the north, and Vietnam to the east, and has a coastline ...
See also
* Honeycomb structure
* Wax foundation
* Hive frame
* Jan Dzierzon
* Grilled honeycomb
* Honeycomb toffee
References
External links
{{BeeColonyMemberTypes
Beekeeping
Bee products
Bees