Dihedral Angle

In aerospace engineering, the dihedral is the angle between the two wings; see dihedral.
In geometry, the angle between two planes is called their dihedral angle. It can be defined as the angle between two lines normal to the planes. Every polyhedron, regular and nonregular, convex and concave, has a dihedral angle at every edge. A dihedral angle (also called the face angle) is the angle at which two adjacent faces meet. Every dihedral angle in a particular Platonic solid has the same value, called "the" dihedral angle. Thus, the dihedral angle of a cube is 90°, while the dihedral angle of a dodecahedron is 116° 34′. "The" dihedral angle of each Platonic solid is:
Name exact dihedral angle (in radians) approximate dihedral angle (in degrees)
Tetrahedron arccos(1/3)70.53°
Hexahedron or Cube π/290°
Octahedron π − arccos(1/3)109.47°
Dodecahedron 2·arctan(φ)116.56°
Icosahedron 2·arctan(φ + 1)138.19°
where φ = (1 + √5)/2 is the golden mean.

External links

 

<< PreviousWord BrowserNext >>
spotted towhee
the island of thirty coffins
the shield
king xian of zhou
hedge (finance)
long
king shenjing of zhou
dark eyed junco
dingbat
list of songs by name: h
list of songs by name: i
list of songs by name: j
list of songs by name: l
list of songs by name: m
list of songs by name: n
list of songs by name: o
list of songs by name: r
list of songs by name: s
list of songs by name: t
list of songs by name: u
list of poetry groups and movements
list of songs by name: v
list of songs by name: w
list of songs by name: y
king nan of zhou
spokesperson
new zealand railways corporation
newport
toll nz
christa wolf
shifting nth root algorithm
werner seelenbinder
council controlled organisations
bgm 71 tow
provisional sinn fin
copyright act of 1790
saskatchewan party
engine turnings
baltic region
nasogastric tube
dukes county, new york
ruth crawford seeger
eric (novel)
dowager