Hexagon

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A regular hexagon

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A hexagon (also known as "sexagon") is a polygon with six edges and six vertices. Its Schl?fli symbol is {6}.

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The internal angles of a regular hexagon (one where all sides and all angles are equal) are all

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120?. 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.

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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.

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The area of a regular hexagon of side length a,! is given by

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:A = rac{3}{2}a^2 cot rac{pi}{6} = rac{3 sqrt{3}}{2}a^2 simeq 2.59808 a^2.

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The circumference of an hexagon of side length a,! is, of course, 6a,!, its maximal diameter 2a,!, and its minimal diameter sqrt{3}a,!.

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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.

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Polygon: :For other use please see Polygon (disambiguation)...

Edge: Edge may have one of the following special meanings, in addition to its dictionary definition: ....

Vertices: REDIRECT Vertex...

Hexagon related Images and Photos (experimental)

Blue Hexagon Posh 2012 Planner

Blue Hexagon Posh Monthly 2012 Planner