n.
(Geom.) A plane figure of eleven sides and eleven angles. [Written also endecagon.]
Hendecagon
| Dictionary: Hen·dec·a·gon |
n.
| Wordsmith Words: hendecagon |
(hen-DEK-uh-gon)
noun
An eleven-sided polygon.
Etymology
From Greek hendeca- (eleven), from hen, neuter of heis (one) + deka (ten) + -gon (angled), from gonia (angle)
Another name for hendecagon is undecagon. A solid having eleven faces is called a hendecahedron or an undecahedron.
The Canadian dollar coin, nicknamed Loonie, is a hendecagon: mint.ca/en/catalogue/3dview/loon.htm. And a hendecagon surrounds the portrait on the US Susan B. Anthony dollar coin: usmint.gov/dispPicture.cfm?pic=SBAnthony.
"This is an 11-sided polygon, which may also be called a hendecagon." — Thomas H. Sidebotham; The A to Z of Mathematics: A Basic Guide; Wiley-Interscience; 2002.
"The setting is decadent forests inhabited by 'truncated undecagon figures', fragments of selves." — Suzanne Nalbantian; Anais Nin: Literary Perspectives; Palgrave Macmillan; 1997.
| Wikipedia: Hendecagon |
| Regular hendecagon | |
|---|---|
 |
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| Edges and vertices | 11 |
| Schläfli symbols | {11} |
| Coxeter–Dynkin diagrams |    |
| Symmetry group | Dihedral (D11) |
| Area (with t=edge length) |
  |
| Internal angle (degrees) |
180°×(1-2/11) =147°.27 |
| Properties | convex, cyclic, equilateral, isogonal, isotoxal |
In geometry, a hendecagon (also undecagon[1]) is an 11-sided polygon. The name "undecagon" is often seen as incorrect, but the matter is up for debate. The Greek prefix 'hen', is preferable to the Latin 'uni' or 'un' [2]. A regular hendecagon has internal angles of 147.27 degrees. The area of a regular hendecagon with side length a is given by
A regular hendecagon is not constructible with compass and straightedge.
Contents |
Use in coinage
The Canadian dollar coin, the loonie, is patterned on a regular hendecagonal prism, as is the Indian two-rupee coin.
It was also patterned on the Susan B. Anthony dollar of the United States from 1979-1981 and again in 1999.
Hendecagon
The Hendecagon is the perimeter of four regular hendecagrams, {11/2}, {11/3}, {11/4}, {11/5}.
References
External links
- Properties of an Undecagon (hendecagon) With interactive animation
- Weisstein, Eric W., "Hendecagon" from MathWorld.
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Learn More
 | endecagon |
| Enneadecagon |
| Hexadecagon |
 | How many degrees does a hendecagon? Read answer... |
| The sum the interior angle of hendecagon? Read answer... |
| What is the measures of the interior angle a hendecagon? Read answer... |
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 | How do you draw an Hendecagon? |
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| Words with same prefix as hendecagon? |
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Copyrights:
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 | Dictionary. Webster 1913 Dictionary edited by Patrick J. Cassidy Read more |
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| Wordsmith Words. © 2009 Wordsmith.org. All rights reserved. Read more |
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| Wikipedia. This article is licensed under the Creative Commons Attribution/Share-Alike License. It uses material from the Wikipedia article "Hendecagon". Read more |
