Decagon (EntityTopic, 12)
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| extra={{STS Matrix| | | extra={{STS Matrix| | ||
10 0 | 10 0 | ||
- | 1 1}}{{STS Uniform polytope | + | 1 1}}{{STS Polytope |
- | | schlaefli={10} | + | | dual=''self-dual'' |
- | | vfigure=[[Digon]], length | + | | acronym=Dec}}{{STS Uniform polytope |
- | + | | schlaefli={10}, t{5} | |
+ | | dynkin=x10o, x5x | ||
+ | | vfigure=[[Digon]], length √((5+√5)/2) | ||
}}}} | }}}} | ||
- | <[#polytope [id -10]]> | + | A decagon is a polygon with 10 sides. It is the truncated pentagon. |
+ | |||
+ | ==Coordinates== | ||
+ | The coordinates of a regular decagon are: | ||
+ | <blockquote>(0, 2φ)<br>(1, √(3+4φ)<br>(1+φ, √(2+φ)</blockquote> | ||
+ | |||
+ | ==Equations== | ||
+ | *The area of a regular decagon is: | ||
+ | {{Over|5|2}} · √((5+2√5)/2) · ''l''<sup>2</sup> | ||
+ | |||
+ | (<[#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:
^{5}∕_{2} · √((5+2√5)/2) · l^{2}
(Incidence matrix
Usage as facets
- prism: 2× 1-facets of a decagonal prism
- 12× 1-facets of a truncated dodecahedron
- 12× 1-facets of a rhodopantohedron
- 1× 1-facets of a pentagonal cupola
- 24× 2-facets of a castellated rhodopantohedral prism (named 5 end)
Notable Dishapes | |
Flat: | triangle • square • pentagon • hexagon • octagon • decagon |
Curved: | circle |