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Hendecagon

 

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Hendecagon



 
 
In geometry
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
, a hendecagon (also undecagon) is an 11-sided polygon
Polygon

In geometry a polygon is traditionally a plane Shape that is bounded by a closed curve path or circuit, composed of a finite sequence of straight line segments ....
.






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In geometry
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
, a hendecagon (also undecagon) is an 11-sided polygon
Polygon

In geometry a polygon is traditionally a plane Shape that is bounded by a closed curve path or circuit, composed of a finite sequence of straight line segments ....
. The name "undecagon" is often seen as incorrect, but the matter is up for debate. The Greek
Greek language

Greek is an Indo-European languages native to the southern Balkan peninsula, the language of the Greek people. It forms an independent branch within Indo-European....
 prefix 'hen', is preferable to the Latin
Latin

Latin is an Italic language, historically spoken in Latium and Ancient Rome. Through the Military history of the Roman Empire, Latin spread throughout the Mediterranean and a large part of Europe....
 'uni' or 'un' . A regular hendecagon has internal angle
Internal angle

In geometry, an interior angle is an angle formed by two sides of a simple polygon that share an endpoint, namely, the angle on the inner side of the polygon....
s of 147.27 degree
Degree (angle)

A degree , usually denoted by ? , is a measurement of plane angle, representing 1/360 of a Turn ; one degree is equivalent to p/180 radians....
s. The area of a regular hendecagon with side length a is given by A regular hendecagon is not constructible
Constructible polygon

In mathematics, a constructible polygon is a regular polygon that can be Compass and straightedge constructions. For example, a regular pentagon is constructible with compass and straightedge while a regular heptagon is not....
 with compass and straightedge
Compass and straightedge

Compass-and-straightedge or ruler-and-compass construction is the construction of lengths or angles using only an Idealization ruler and Compass ....
.

Use in coinage


The Canadian dollar
Canadian dollar

The Canadian dollar is the currency of Canada. It is normally abbreviated with the dollar sign $, or C$ to distinguish it from other dollar-denominated currencies....
 coin, the loonie
Loonie

The Canadian 1 dollar coin is a gold-coloured, bronze-plated, one-dollar coin introduced in 1987. It bears images of a Great Northern Diver, a well-known Canadian bird, on the Obverse and reverse, and of Elizabeth II of the United Kingdom on the obverse....
, is patterned on a regular hendecagonal prism, as is the Indian two-rupee coin.

It was also patterned on the Susan B. Anthony dollar
Susan B. Anthony dollar

The Susan B. Anthony United States dollar coin is a United States coinage minted from 1979 to 1981, and again in 1999. It depicts women's suffrage campaigner Susan B....
 of the United States from 1979-1981 and again in 1999.

See also


  • Hendecagram
    Hendecagram

    A hendecagram is a star polygon that has eleven Point . There are 4 regular forms: , , , ....


External links

  • With interactive animation