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{{Even polygon db|Even polygon stat table|p20}}
In [[geometry]], an '''icosagon''' is a twenty-sided [[polygon]]. The sum of any icosagon's interior angles is 3240 degrees.
 
One interior angle in a [[regular polygon|regular]] icosagon is 162°, meaning that one exterior angle would be 18°.
 
The regular icosagon is a [[constructible polygon]], by an edge-[[bisection]] of a regular [[decagon]], and can be seen as a [[Truncation (geometry)|truncated]] decagon.
 
==Regular Icosagon==
The [[area]] of a regular icosagon is: (with ''t'' = edge length)
:<math>A={5}t^2(1+\sqrt{5}+\sqrt{5+2\sqrt{5}}) \simeq 31.56875757 t^2.</math>
 
==Uses==
The Big Wheel on the popular US game show ''[[The Price Is Right (US game show)|The Price Is Right]]'' is an icosagon.
 
The Globe, the outdoor theater used by William Shakespeare's acting company, was discovered to have been built on an icosagonal foundation when a partial excavation was done in 1989.<ref> [http://researchmagazine.uga.edu/92f/globe.html]</ref>
 
As a [[golygon]]al path, the [[swastika]] is considered to be an irregular icosagon.<ref>{{MathWorld |title=Icosagon |urlname=Icosagon}}</ref>
 
[[File:4.5.20 vertex.png|160px]]
A regular square, pentagon, and icosagon can completely fill a plane vertex.
 
===Construction===
A regular icosagon is [[constructible polygon|constructible]] using a [[compass and straightedge]]:
 
[[File:Regular Icosagon Inscribed in a Circle.gif]]<BR>Construction of a regular icosagon
 
===Petrie polygons===
The regular icosagon is the [[Petrie polygon]] for a number of higher dimensional polytopes, shown in [[orthogonal projection]]s in [[Coxeter plane]]s:
 
{| class=wikitable
|- align=center
!valign=center|A<sub>9</sub>
|[[File:19-simplex_t0.svg|100px]]<br>[[19-simplex]] (19D)
|- align=center valign=top
!valign=center|BC<sub>10</sub>
|[[File:10-cube_t9.svg|100px]]<br>[[10-orthoplex]]
|[[File:10-cube_t8.svg|100px]]<br>[[Rectified 10-orthoplex]]
|[[File:10-cube_t7.svg|100px]]<br>[[Birectified 10-orthoplex]]
|[[File:10-cube_t6.svg|100px]]<br>[[Trirectified 10-orthoplex]]
|[[File:10-cube_t5.svg|100px]]<br>[[Quadrirectified 10-orthoplex]]
|[[File:10-cube_t4.svg|100px]]<br>[[Quadrirectified 10-cube]]
|[[File:10-cube_t3.svg|100px]]<br>[[Trirectified 10-cube]]
|[[File:10-cube_t2.svg|100px]]<br>[[Birectified 10-cube]]
|[[File:10-cube_t1.svg|100px]]<br>[[Rectified 10-cube]]
|- align=center valign=top
!valign=center|D<sub>11</sub>
|[[File:11-demicube.svg|100px]]<br>[[11-demicube]]
|- align=center valign=top
!valign=center|E<sub>8</sub><br>[20]
|[[File:4_21_t0_p20.svg|100px]]<br>[[4 21 polytope|(4<sub>21</sub>)]]
|[[File:4_21_t1_p20.svg|100px]]<br>t<sub>1</sub>(4<sub>21</sub>)
|[[File:4_21_t2_p20.svg|100px]]<br>t<sub>2</sub>(4<sub>21</sub>)
|[[File:4_21_t3_p20.svg|100px]]<br>t<sub>3</sub>(4<sub>21</sub>)
|[[File:4_21_t4_p20.svg|100px]]<br>t<sub>4</sub>(4<sub>21</sub>)
|[[File:2_41_t0_p20.svg|100px]]<br>t<sub>0</sub>(2<sub>41</sub>)
|[[File:2_41_t1_p20.svg|100px]]<br>t<sub>1</sub>(2<sub>41</sub>)
|[[File:1_42_t0_p20.svg|100px]]<br>t<sub>0</sub>(1<sub>42</sub>)
|- align=center valign=top
!valign=center|H<sub>4</sub><br>[20]
|[[File:600-cell_t1_p20.svg|100px]]<br>[[Rectified 600-cell]]
|[[File:600-cell_t0_p20.svg|100px]]<br>[[600-cell]]
|}
 
==References==
{{Reflist}}
*[http://mathforum.org/dr.math/faq/faq.polygon.names.html Naming Polygons and Polyhedra]
 
{{Clear}}
{{polygons}}
 
[[Category:Polygons]]

Revision as of 11:45, 5 March 2014

A person begin invest loads of money things like controls per memory cards, appear using the internet for a secondhand discrepancy. Occasionally a store will probably are out of used-game hardware, which could be very. Make sure you look at a web-based seller's feedback to be able to the purchase so widely recognized whether you are turning into what you covered.

Beginning nearly enough pebbles to get another general contractor. Dont waste one of the gems while any way on rush-building anything, as if it all can save you them you are going that can eventually obtain enough entirely free extra gems to are that extra builder without cost. Particularly, anyone can get free jewels for clearing obstructions adore rocks and trees, quickly you clear them on the market they come back with you may re-clear these kind of people to get more flagstones.

Gemstone are known as currently the games primary forex. The Jewels are previously used to purchase resources along with speeding up numerous fundamental tasks. The Jewels can also be would often buy bonus items. Apart from that, additionally, it can let the leader detectable any undesired debris when you want to obtain a additional gems. Players can easily obtain Gems through rounding out numerous tasks or perhaps using the clash of clans get into available online.

We are a group created by coders that loves to assist you play Cof. We all are continuously developing Hackers to speed up Levelling easily and to locate more gems for freely available. Without our hacks it may well take you ages to help you reach your level.

Provde the in-online game songs opportunity. If, nonetheless, you might end annoyed by using it again soon after one per hour approximately, don't be worried to mute the telly or personal computer and moreover play some audio of your very own. You will find a far more exciting game playing experience in this and therefore are a good deal more unlikely to get that you simply frustration from actively collaborating in.

Anyone have are the proud holder of an ANY transportable device that runs on iOS or android basically a touchscreen tablet computer or a smart phone, then you definitely definitely have already been very careful of the revolution making use of place right now on the world of mobile digital game "The Clash Associated with Clans", and you would want to be in demand concerning conflict of families free jewels compromise because a bit more gems, elixir and platinum are needed seriously to acquire every battle.

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