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Icosagon Images
Rihanna - Take A BowMusic video by Rihanna performing Take A Bow. YouTube view counts pre-VEVO: 66288884. (C) 2008 The Island Def Jam Music Group.
Key & Peele: Substitute TeacherA substitute teacher from the inner city refuses to be messed with while taking attendance.
Celebrities Read Mean Tweets #2Jimmy Kimmel Live - Celebrities Read Mean Tweets #2 Jimmy Kimmel Live's YouTube channel features clips and recaps of every episode from the late night TV sho...
Draw My Life - Ryan HigaSo i was pretty hesitant to make this video... but after all of your request, here is my Draw My Life video! Check out my 2nd Channel for more vlogs: http://...
Adele - Rolling In The DeepMusic video by Adele performing Rolling In The Deep. (C) 2010 XL Recordings Ltd. #VEVOCertified on July 25, 2011. http://www.vevo.com/certified http://www.yo...
Avril Lavigne - When You're GoneMusic video by Avril Lavigne performing When You're Gone. YouTube view counts pre-VEVO: 696566 (C) 2007 RCA/JIVE Label Group, a unit of Sony Music Entertain...
David Guetta - Just One Last Time ft. Taped Rai"Just One Last Time" feat. Taped Rai. Available to download on iTunes including remixes of : Tiësto, HARD ROCK SOFA & Deniz Koyu http://smarturl.it/DGJustOne...
YOLO (feat. Adam Levine & Kendrick Lamar)YOLO is available on iTunes now! http://smarturl.it/lonelyIslandYolo New album coming soon... Check out the awesome band the music in YOLO is sampled from Th...
Most Annoying People On The InternetDon't be these people. Mapoti See Bloopers and Behind-The-Scenes Here!: http://youtu.be/dfpo7uXwJnM Huge thank you and shout out to Dtrix: http://www.youtube...
Skrillex & Damian "Jr. Gong" Marley - Make It Bun Dem [OFFICIAL VIDEO]Buy the track here: http://atlr.ec/TZ8yBf Directed by Tony T. Datis.
MACKLEMORE & RYAN LEWIS - CAN'T HOLD US FEAT. RAY DALTON (OFFICIAL MUSIC VIDEO)Macklemore & Ryan Lewis present the official music video for Can't Hold Us feat. Ray Dalton. Can't Hold Us on iTunes: https://itunes.apple.com/us/album/cant-...
Draw My Life- Jenna MarblesThis video accidentally turned out kind of sad, ME SO SOWWY IT NOT POSED TO BE SAD WHO WANTS HUGS AND COOKIES? Also, FYI for anyone attempting this, it takes...
Fun.: We Are Young ft. Janelle Monáe [OFFICIAL VIDEO]Fun.'s music video for 'We Are Young' featuring Janelle Monáe from the full-length album, Some Nights - available now on Fueled By Ramen. Visit http://ournam...
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This article needs additional citations for verification. (August 2012) |
| Regular icosagon | |
|---|---|
A regular icosagon |
|
| Type | Regular polygon |
| Edges and vertices | 20 |
| Schläfli symbol | {20} |
| Coxeter diagram | |
| Symmetry group | D20, order 2×20 |
| Internal angle (degrees) | 162° |
| Dual polygon | self |
| Properties | convex, cyclic, equilateral, isogonal, isotoxal |
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 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 truncated decagon.
Contents |
Regular decagon [edit]
The area of a regular icosagon is: (with t = edge length)
Uses [edit]
The Big Wheel on the popular 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.[1]
As a golygonal path, the swastika is considered to be an irregular icosagon.[2]
A regular square, pentagon, and icosagon can completely fill a plane vertex.
Construction [edit]
A regular icosagon is constructible using a compass and straightedge:

Construction of a regular icosagon
Petrie polygons [edit]
The regular icosagon is the Petrie polygon for a number of higher dimensional polytopes, shown in orthogonal projections in Coxeter planes:
| A9 | 19-simplex (19D) |
||||||||
|---|---|---|---|---|---|---|---|---|---|
| BC10 | 10-orthoplex |
Rectified 10-orthoplex |
Birectified 10-orthoplex |
Trirectified 10-orthoplex |
Quadrirectified 10-orthoplex |
Quadrirectified 10-cube |
Trirectified 10-cube |
Birectified 10-cube |
Rectified 10-cube |
| D11 | 11-demicube |
||||||||
| E8 [20] |
(421) |
t1(421) |
t2(421) |
t3(421) |
t4(421) |
t0(241) |
t1(241) |
t0(142) |
|
| H4 [20] |
Rectified 600-cell |
600-cell |
References [edit]
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