Decagon (EntityTopic, 12)

From Hi.gher. Space

(Difference between revisions)
(polytope explorer integration)
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| extra={{STS Matrix|
| extra={{STS Matrix|
  10 0
  10 0
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   1 1}}{{STS Uniform polytope
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   1 1}}{{STS Polytope
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| schlaefli={10}
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| dual=''self-dual''
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| vfigure=[[Digon]], length 1
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| acronym=Dec}}{{STS Uniform polytope
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| dual=''Self-dual''
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| schlaefli={10}, t{5}
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| dynkin=x10o, x5x
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| vfigure=[[Digon]], length √((5+√5)/2)
}}}}
}}}}
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<[#polytope [id -10]]>
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A decagon is a polygon with 10 sides. It is the truncated pentagon.
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==Coordinates==
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The coordinates of a regular decagon are:
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<blockquote>(0, 2φ)<br>(1, √(3+4φ)<br>(1+φ, √(2+φ)</blockquote>
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==Equations==
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*The area of a regular decagon is:
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{{Over|5|2}} &middot; √((5+2√5)/2) &middot; ''l''<sup>2</sup>
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(<[#polytope [id -10]]>
{{Dishapes}}
{{Dishapes}}

Revision as of 16:18, 26 March 2017


A decagon is a polygon with 10 sides. It is the truncated pentagon.

Coordinates

The coordinates of a regular decagon are:

(0, 2φ)
(1, √(3+4φ)
(1+φ, √(2+φ)

Equations

  • The area of a regular decagon is:

52 · √((5+2√5)/2) · l2

(

Incidence matrix

Dual: Self-dual

#TXIDVaEaTypeName
0 Va= point ;
1 Ea2= digon ;
2 10a1010= decagon ;

Usage as facets


Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle