Hexagon
See also: Hexagonal (homonymy)
A hexagonal is a Polygone at six tops and six sides. The Angle S interns of a regular hexagon are all of 120 °. The regular hexagons can be juxtaposed the ones the others without leaving any gap, like the square S and the equilateral triangles, and are thus useful to build Pavage S. The cells of the rays in a Ruche of Abeille S with Miel are hexagonal for this reason and because this form allows an effective use of space and construction materials.
The surface of a regular hexagon of with dimensions is
General properties
Regular hexagon
A regular hexagon is a convex hexagon registered in a Cercle and of which all the sides have the same length (and the Angle S same measurement).
Symmetry
Hexagon and equilateral triangle
Construction of a regular hexagon
A regular hexagon is constructible because it checks the Théorème of Gauss-Wantzel: 6 is the product of 2 (power of 2) and of 3 (Nombre of Fermat).
It is possible to build a regular hexagon with a compass and a rule, while following the method of the elements of Euclide, which consists in building 6 equilateral triangles:
Pavings
The cells of bee, built in order to store the Honey and pollen or eggs and the larvae, are prism S juxtaposed of horizontal axes which constitute the honeycomb. This honeycomb is thus made of two series of hexagonal cells meeting in their base.
In nature
Uses
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