A honeycomb is a mass of
hexagonal prismatic wax cells built 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 Afro-Eurasia. After bees spread naturally throughout Africa and Eurasia, humans became responsible for the current cosmop ...
s in their
nests to contain their
larva
A larva (; plural larvae ) is a distinct juvenile form many animals undergo before metamorphosis into adults. Animals with indirect development such as insects, amphibians, or cnidarians typically have a larval phase of their life cycle.
Th ...
e and stores of
honey
Honey is a sweet and viscous substance made by several 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 plants (primar ...
and
pollen
Pollen is a powdery substance produced by seed plants. It consists of pollen grains (highly reduced microgametophytes), which produce male gametes (sperm cells). Pollen grains have a hard coat made of sporopollenin that protects the gametop ...
.
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 machine, more specifically a
honey extractor
A honey extractor is a mechanical device used in the extraction of honey from honeycombs. A honey extractor extracts the honey from the honey comb without destroying the comb. Extractors work by centrifugal force. A drum or container holds a ...
. If the honeycomb is too worn out, the wax can be reused in a number of ways, including making sheets of comb
foundation with 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
Drone most commonly refers to:
* Drone (bee), a male bee, from an unfertilized egg
* Unmanned aerial vehicle
* Unmanned surface vehicle, watercraft
* Unmanned underwater vehicle or underwater drone
Drone, drones or The Drones may also refer to:
...
cells. Fresh, new comb is sometimes sold and used intact as
comb honey
Comb honey is honey intended for consumption by humans, which is still contained within its original hexagonal-shaped beeswax cells, called honeycomb. It has received no processing, filtering, or manipulation, and is in the state that honey bees ...
, 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. Th ...
s, especially
Polistinae
The Polistinae is a subfamily of eusocial wasps belonging to the family Vespidae. They are closely related to the more familiar wasps (“yellowjackets” as they are called in North America) and true hornets of the subfamily Vespinae, containin ...
and
Vespinae, construct hexagonal prism-packed combs made of paper instead of wax; in some species (such as ''
Brachygastra mellifica
''Brachygastra mellifica'', commonly known as the Mexican honey wasp, is a neotropical social wasp. It can be found in both North and South America. ''B. mellifica'' is one of few wasp species that produces honey. It is also considered a delica ...
''), 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 is a number that describes both the ''direction'' and the ''steepness'' of the line. Slope is often denoted by the letter ''m''; there is no clear answer to the question why the letter ''m'' is used ...
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
Tiling may refer to:
*The physical act of laying tiles
*Tessellations
Computing
*The compiler optimization of loop tiling
* Tiled rendering, the process of subdividing an image by regular grid
*Tiling window manager
People
* Heinrich Sylvester ...
creates a partition with equal-sized cells, while minimizing the total
perimeter
A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
Calculating the perimeter has several pr ...
of the cells. Known in
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
as the
honeycomb conjecture
The honeycomb conjecture states that a regular hexagonal grid or honeycomb has the least total perimeter of any subdivision of the plane into regions of equal area. The conjecture was proven in 1999 by mathematician Thomas C. Hales.
Theorem
Let ...
, this was given by
Jan Brożek
Jan Brożek (''Ioannes Broscius'', ''Joannes Broscius'' or ''Johannes Broscius''; 1 November 1585 – 21 November 1652) was a Polish polymath: a mathematician, astronomer, physician, poet, writer, musician and rector of the Kraków Academy.
Life ...
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 occupied 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). Th ...
. A second reason, given by
D'Arcy Wentworth Thompson
Sir D'Arcy Wentworth Thompson Order of the Bath, CB Fellow of the Royal Society, FRS FRSE (2 May 1860 – 21 June 1948) was a Scottish biologist, mathematician and classics, classics scholar. He was a pioneer of mathematical and theoretical bi ...
, 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 is an extremely thin 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 before bursting, either on their own or on contact w ...
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 coor ...
al.
The ends are trihedral (i.e., composed of three planes) sections of
rhombic dodecahedra, with the
dihedral angle
A dihedral angle is the angle between two intersecting planes or half-planes. In chemistry, it is the clockwise angle between half-planes through two sets of three atoms, having two atoms in common. In solid geometry, it is defined as the un ...
s of all adjacent surfaces measuring 120°, the angle that minimizes
surface area
The surface area 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 definition of ...
for a given volume. (The angle formed by the edges at the pyramidal apex, known as the
tetrahedral angle
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ...
, 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 (from la, per centum, "by a hundred") 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 us ...
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) 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 (; plural larvae ) is a distinct juvenile form many animals undergo before metamorphosis into adults. Animals with indirect development such as insects, amphibians, or cnidarians typically have a larval phase of their life cycle.
Th ...
e
File:Apis florea nest closeup2.jpg, Closeup of an abandoned '' Apis florea'' nest in Thailand
Thailand ( ), historically known as Siam () and officially the Kingdom of Thailand, is a country in Southeast Asia, located at the centre of the Indochinese Peninsula, spanning , with a population of almost 70 million. The country is b ...
. 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
''Apis dorsata'', the giant honey bee, सिङ्गुस in Nepali, is a honey bee of South and Southeast Asia, found mainly in forested areas such as the Terai of Nepal. They are typically around long. Nests are mainly built in exposed pla ...
'' 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
See also
* Honeycomb structure
Honeycomb structures are natural or man-made structures that have the geometry of a honeycomb to allow the minimization of the amount of used material to reach minimal weight and minimal material cost. The geometry of honeycomb structures can ...
* Wax foundation
* Hive frame
* Jan Dzierzon
References
External links
{{Commons category, Honeycombs
Beekeeping
Bees
Bee products