Hexagon

''A regular hexagon''

A hexagon (also known as "sexagon") is a polygon with six edges and six vertex. Its Schl�fli symbol is {6}. The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120degree (angle). Like square (geometry)s and equilateral triangle (geometry)s, 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 (beekeeping) honeycomb are hexagonal for this reason and because the shape makes efficient use of space and building materials. The area of a regular hexagon of side length ''a'' is given by :

A = \frac{3}{2}a^2 \cot \frac{\pi}{6} = \frac{3 \sqrt{3}}{2}a^2 \simeq 2.59808 a^2.

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. ==Hexagon construction== A regular hexagon is constructible with straightedge and compass. The following is a step-by-step animated method of this, given by Euclid's ''Euclid's Elements'', Book IV, Proposition 15. ==See also== *geometry *hexagonal number *synthetic geometry *hexaflexagon Polygons

Hexagon

== picture is good now == ...User:Anthere ... ...User:Sannse 21:26 May 13, 2003 (UTC) ::Yeah, that is good. Nope, I didnot need any refresh :-) ant == picture of honeycomb ? == I think we need a picture of a honeycomb to illustrate "hexagonal cells". The Main Page currently mentions "the ideal cellular network has evenly distributed hexagonal cells" -- but clicking on hexagonal just redirects to hexagon, which doesn't say anything about hexagonal cells (hexagonal arrays). It only talks about single hexagons. -- User:DavidCary 03:31, 20 Jun 2004 (UTC) == number of regions == Do any of you Wikipedians know the number of regions a hexagon with all of its diagonals shown determines?? User:66.245.12.170 23:05, 25 May 2004 (UTC) : A regular hexagon has 25. A general hexagon, assumed to have no more than two diagonals intersecting at any point (other than a vertex) has 26. -- User:Smjg 11:08, 26 May 2004 (UTC) See Talk:Diagonal for more details. == "Sexagon" == Is "sexagon" really a good term?? I say no. "Hexagon" is completely Greek language. "Sex" is a Latin prefix. If the word were Latin, it would be "sexangle". See Greek numerical prefixes and Latin numerical prefixes. User:66.245.11.175 14:05, 15 Jun 2004 (UTC) indeed User:M.e 12:03, 18 Jun 2004 (UTC) :I don't think I've ever heard it called a ''sexagon'', though the equally mixed-up ''nonagon'' for ''enneagon'' is common, and I've also heard of ''septagon'' instead of ''heptagon''. So if the term's to be mentioned, I suppose it ought to have some wording discouraging its use.... -- User:Smjg 16:23, 18 Jun 2004 (UTC) ::While you're at it, why not discourage ''television'' too? : ) User:Doops 05:11, 20 Jul 2004 (UTC) :::"Television" does not have a Greek or Latin numerical prefix, so what's so special about it?? User:66.245.103.69 01:08, 21 Aug 2004 (UTC)

See other meanings of words starting from letter:

H

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Words begining with Hexagon:

Hexagon
Hexagon
Hexagon1
Hexagon1
Hexagonal
Hexagonal
Hexagonal_(crystal_system)
Hexagonal_map
Hexagonal_number
Hexagonal_System
Hexagons
Hexagon_(disambiguation)
Hexagon_AB