Decagon (EntityTopic, 12)
From Hi.gher. Space
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1 1}}{{STS Polytope | 1 1}}{{STS Polytope | ||
| dual=''self-dual'' | | dual=''self-dual'' | ||
- | | | + | | bowers=Dec}}{{STS Uniform polytope |
| schlaefli={10}, t{5} | | schlaefli={10}, t{5} | ||
| dynkin=x10o, x5x | | dynkin=x10o, x5x |
Revision as of 16:19, 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 |