This article is about the geometry term. For other uses, see Dihedral.
Angle between two half-planes (α, β, pale blue) in a third plane (red) which cuts the line of intersection at right angles
Types of angles
2D angles
Right
Interior
Exterior
Spherical
2D angle pairs
Adjacent
Vertical
Complementary
Supplementary
Transversal
3D angles
Dihedral
Solid
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A dihedral angle is the angle between two intersecting planes or half-planes. In chemistry, it is the clockwise angle between half-planes through two sets of three atoms, having two atoms in common. In solid geometry, it is defined as the union of a line and two half-planes that have this line as a common edge. In higher dimensions, a dihedral angle represents the angle between two hyperplanes.
The planes of a flying machine are said to be at positive dihedral angle when both starboard and port main planes (commonly called "wings") are upwardly inclined to the lateral axis; when downwardly inclined they are said to be at a negative dihedral angle.
A dihedralangle is the angle between two intersecting planes or half-planes. In chemistry, it is the clockwise angle between half-planes through two...
Look up dihedral or polyhedral in Wiktionary, the free dictionary. Dihedral or polyhedral may refer to: Dihedralangle, the angle between two mathematical...
plane angles as they lie in the plane that contains the rays. Angles are also formed by the intersection of two planes; these are called dihedralangles. Two...
The dihedralangles for the edge-transitive polyhedra are: Coxeter, Regular Polytopes (1963), Macmillan Company Regular Polytopes, (3rd edition, 1973)...
In astronomy and celestial navigation, the hour angle is the dihedralangle between the meridian plane (containing Earth's axis and the zenith) and the...
Define the vertex angle θa to be the angle BOC and define θb, θc correspondingly. Let ϕ a b {\displaystyle \phi _{ab}} be the dihedralangle between the planes...
the three dihedralangles for the sequences (2,3,4), (3,4,5), and (4,5,6). The next bond, from atom 6, is also oriented by a dihedralangle, so we have...
angles, which are the angles formed by two edges of the polyhedron meeting at the vertex, or by a sequence of n dihedralangles, which are the angles...
case of a cuboid with rectangular faces in which all of its dihedralangle are right angle. This shape is also called rectangular parallelepiped or orthogonal...
themselves regular (n − 1)-dimensional simplices, and they have the same dihedralangle of cos−1(1/n). This can be seen by noting that the center of the standard...
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections. Dihedral groups are among the...
. The dihedralangle of a pentagonal antiprism between pentagon-to-triangle is 100.8 ∘ {\displaystyle 100.8^{\circ }} , and the dihedralangle of a pentagonal...
linear model is a hyperplane. The dihedralangle between two non-parallel hyperplanes of a Euclidean space is the angle between the corresponding normal...
number of angles associated with each Platonic solid. The dihedralangle is the interior angle between any two face planes. The dihedralangle, θ, of the...
maximizing nO(π)-σ* overlap (maximum at 90° dihedralangle) and nO(σ)-σ* overlap (maximum at 0° dihedralangle), a compromise that leads to the conclusion...
carbon–carbon bond are staggered, with each H–C–C–H dihedralangle (and H–C–C–CH3 dihedralangle in the case of propane) equal to 60° (or approximately...
Let Δi be the area of the face opposite vertex Pi and let θij be the dihedralangle between the two faces of the tetrahedron adjacent to the edge PiPj....
spherical angle is a particular dihedralangle; it is the angle between two intersecting arcs of great circles on a sphere. It is measured by the angle between...
in the gauche rotamer causes increased CCF bond angles (by 3.2°) and increased FCCF dihedralangles (from the default 60° to 71°). In the related compound...
In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or π {\displaystyle \pi } /2 radians corresponding to a quarter turn. If...
The concept of angles between lines (in the plane or in space), between two planes (dihedralangle) or between a line and a plane can be generalized to...
which meet at antipodal points. It is an example of a digon, {2}θ, with dihedralangle θ. The word "lune" derives from luna, the Latin word for Moon. Great...
same symmetry as the triangular prism. The dihedralangle between two adjacent square faces is the internal angle of an equilateral triangle π/3 = 60°, and...
effects coming from design characteristics, such as high wings, dihedralangles or sweep angles. The second lateral motion is an oscillatory combined roll...
linking the naphthyl rings. The dihedralangle between the naphthyl groups is approximately 90°. The natural bite angle is 93°. BINAP is used in organic...
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