# Dictionary Definition

hexagon n : a six-sided polygon

# User Contributed Dictionary

## English

### Noun

- A polygon with six sides and six angles.

#### Derived terms

#### Translations

A polygon with six sides and six angles

- Bulgarian: шестоъгълник
- Czech: šestiúhelník
- Dutch: zeshoek
- Finnish: kuusikulmio
- French: hexagone
- German: Sechseck
- Hebrew:
- Hungarian: hatszög
- Italian: esagono
- Japanese: 六角形 ()
- Portuguese: hexágono
- Slovak: šesťúholník
- Spanish: hexágono
- Swedish: hexagon, sexhörning

#### Related terms

# Extensive Definition

In geometry, a hexagon is a
polygon with six edges
and six vertices.
A regular hexagon has Schläfli
symbol .

## Regular hexagon

The internal angles of a regular hexagon (one
where all sides and all angles are equal) are all 120° and the
hexagon has 720 degrees. It has 6 rotational
symmetries and 6 reflection
symmetries, making up the dihedral
group D6. The longest diagonals of a regular hexagon,
connecting diametrically opposite vertices, are twice its sides in
length. Like squares
and equilateral
triangles,
regular hexagons fit together without any gaps to tile the plane
(three hexagons meeting at every vertex), and so are useful for
constructing tessellations. The cells of
a beehive
honeycomb are
hexagonal for this reason and because the shape makes efficient use
of space and building materials. The Voronoi
diagram of a regular triangular lattice is the honeycomb
tessellation of hexagons.

The area of a regular hexagon of side length
t\,\! is given by A = \fract^2 \simeq 2.598076211 t^2.

The perimeter of a regular hexagon of side length
t\,\! is, of course, 6t\,\!, its maximal diameter 2t\,\!, and its
minimal diameter t\sqrt\,\!. There is no platonic
solid made of regular hexagons. The archimedean
solids with some hexagonal faces are the truncated
tetrahedron, truncated
octahedron, truncated
icosahedron (of soccer ball and fullerene fame), truncated
cuboctahedron and the truncated
icosidodecahedron.

## Hexagons: natural and human-made

's carapace France has a vaguely
hexagonal shape. In French, "L'hexagone" sometimes refers to the
country.

## See also

- Hexagram: 6-sided star within a regular hexagon
- Unicursal hexagram: single path, 6-sided star, within a hexagon
- Hexagonal tiling: a regular tiling of hexagons in a plane
- Hexagonal number

## External links

- Definition and properties of a hexagon With interactive animation
- Cassini Images Bizarre Hexagon on Saturn
- Saturn's Strange Hexagon
- A hexagonal feature around Saturn's North Pole
- "Bizarre Hexagon Spotted on Saturn" - from Space.com (27 March 2007)

hexagon in Afrikaans: Seshoek

hexagon in Arabic: سداسي الأضلاع

hexagon in Asturian: Hexágonu

hexagon in Azerbaijani: Düzgün altıbucaqlı

hexagon in Bulgarian: Шестоъгълник

hexagon in Catalan: Hexàgon

hexagon in Czech: Šestiúhelník

hexagon in Danish: Sekskant

hexagon in German: Sechseck

hexagon in Spanish: Hexágono

hexagon in Esperanto: Seslatero

hexagon in French: Hexagone

hexagon in Galician: Hexágono

hexagon in Korean: 육각형

hexagon in Italian: Esagono

hexagon in Hebrew: משושה

hexagon in Haitian: Egzagòn

hexagon in Lithuanian: Šešiakampis

hexagon in Hungarian: Hatszög

hexagon in Malay (macrolanguage): Heksagon

hexagon in Mongolian: Зургаан өнцөгт

hexagon in Dutch: Zeshoek

hexagon in Japanese: 六角形

hexagon in Norwegian: Heksagon

hexagon in Norwegian Nynorsk: Heksagon

hexagon in Narom: Siêx-carres

hexagon in Polish: Sześciokąt

hexagon in Portuguese: Hexágono

hexagon in Romanian: Hexagon

hexagon in Russian: Правильный
шестиугольник

hexagon in Simple English: Hexagon

hexagon in Slovak: Šesťuholník

hexagon in Slovenian: Šestkotnik

hexagon in Serbian: Шестоугао

hexagon in Finnish: Kuusikulmio

hexagon in Swedish: Hexagon

hexagon in Tamil: அறுகோணம்

hexagon in Telugu: షడ్భుజి

hexagon in Thai: รูปหกเหลี่ยม

hexagon in Turkish: Altıgen

hexagon in Chinese: 六边形