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DIHEDRAL ANGLE

  • Dihedral angle
  • Angle between two planes in space

    A dihedral angle is the angle between two intersecting planes or half-planes. It is a plane angle formed on a third plane, perpendicular to the line of

    Dihedral angle

    Dihedral angle

    Dihedral_angle

  • Dihedral (aeronautics)
  • Angle between each wing or tail surface within a pair

    Dihedral angle is the upward angle from horizontal of the wings or tailplane of a fixed-wing aircraft. "Anhedral angle" is the name given to negative dihedral

    Dihedral (aeronautics)

    Dihedral (aeronautics)

    Dihedral_(aeronautics)

  • Torsion angle
  • Type of dihedral angle

    In stereochemistry, a torsion angle is defined as a particular example of a dihedral angle, describing the geometric relation of two parts of a molecule

    Torsion angle

    Torsion angle

    Torsion_angle

  • Dihedral
  • Topics referred to by the same term

    Look up dihedral or polyhedral in Wiktionary, the free dictionary. Dihedral or polyhedral may refer to: Dihedral angle, the angle between two mathematical

    Dihedral

    Dihedral

  • Rhombicuboctahedron
  • Archimedean solid with 26 faces

    dihedral angle of a rhombicuboctahedron can be determined by adding the dihedral angle of a square cupola and an octagonal prism: The dihedral angle of

    Rhombicuboctahedron

    Rhombicuboctahedron

    Rhombicuboctahedron

  • Elongated square gyrobicupola
  • 37th Johnson solid (26 faces)

    The dihedral angle of an elongated square gyrobicupola can be ascertained in a similar way as the rhombicuboctahedron, by adding the dihedral angle of

    Elongated square gyrobicupola

    Elongated square gyrobicupola

    Elongated_square_gyrobicupola

  • Table of polyhedron dihedral angles
  • The dihedral angles for the edge-transitive polyhedra are: Coxeter, Regular Polytopes (1963), Macmillan Company Regular Polytopes, (3rd edition, 1973)

    Table of polyhedron dihedral angles

    Table_of_polyhedron_dihedral_angles

  • Platonic solid
  • Any of the five regular polyhedra

    number of angles associated with each Platonic solid. The dihedral angle is the interior angle between any two face planes. The dihedral angle, θ, of the

    Platonic solid

    Platonic solid

    Platonic_solid

  • Rotamer
  • Various molecular structures formed only by rotation about single bonds

    carbon–carbon bond are staggered, with each H–C–C–H dihedral angle (and H–C–C–CH3 dihedral angle in the case of propane) equal to 60° (or approximately

    Rotamer

    Rotamer

    Rotamer

  • Tetrahedron
  • Polyhedron with four faces

    dihedral angles are greater than π / 2 {\displaystyle \pi /2} ), nor does it necessarily lie inside for an acute tetrahedron (i.e. when all dihedral angles

    Tetrahedron

    Tetrahedron

    Tetrahedron

  • Plane–plane intersection
  • Intersection of two planes

    {\displaystyle \Pi _{2}:a_{2}x+b_{2}y+c_{2}z+d_{2}=0} , the dihedral angle between them is defined to be the angle α {\displaystyle \alpha } between their normal directions:

    Plane–plane intersection

    Plane–plane intersection

    Plane–plane_intersection

  • Cyclohexane conformation
  • Structures of cyclohexane

    three dihedral angles for the sequences (1,2,3,4), (2,3,4,5), and (3,4,5,6). The next bond, from atom 6, is also oriented by a dihedral angle, so we

    Cyclohexane conformation

    Cyclohexane conformation

    Cyclohexane_conformation

  • Simplex
  • Multi-dimensional generalization of triangle

    themselves regular (n − 1)-dimensional simplices, and they have the same dihedral angle of cos−1(1/n). This can be seen by noting that the center of the standard

    Simplex

    Simplex

    Simplex

  • Regular icosahedron
  • Solid with twenty equal triangular faces

    approximately 38.2°. The dihedral angle of a pentagonal antiprism between pentagon-to-triangle is 100.8°, and the dihedral angle of a pentagonal pyramid

    Regular icosahedron

    Regular icosahedron

    Regular_icosahedron

  • Triangular prism
  • Prism with a 3-sided base

    any two vertices known as isogonal. The dihedral angle between two adjacent square faces is the internal angle of an equilateral triangle π/3 = 60°, and

    Triangular prism

    Triangular prism

    Triangular_prism

  • 90 (number)
  • Natural number between 89 and 91

    golden ratio. The obtuse angle of the broad rhombic faces is also the dihedral angle of a regular icosahedron, with the obtuse angle in the faces of golden

    90 (number)

    90_(number)

  • Triangular bipyramid
  • Two tetrahedra joined by one face

    \end{aligned}}} The dihedral angle of a triangular bipyramid can be obtained by adding the dihedral angle of two regular tetrahedra. The dihedral angle of a triangular

    Triangular bipyramid

    Triangular bipyramid

    Triangular_bipyramid

  • Ramachandran plot
  • Visual representation of allowable protein conformations

    energetically allowed regions for backbone dihedral angles (also called as torsional angles, phi and psi angles) φ against ψ of amino acid residues in protein

    Ramachandran plot

    Ramachandran plot

    Ramachandran_plot

  • Pentagonal bipyramid
  • Two pentagonal pyramids fused base-to-base

    } The dihedral angle of a regular-faced pentagonal bipyramid can be calculated by adding the angle of pentagonal pyramids: the dihedral angle of a pentagonal

    Pentagonal bipyramid

    Pentagonal bipyramid

    Pentagonal_bipyramid

  • Perpendicular
  • Relationship between two lines that meet at a right angle

    planes in space are said to be perpendicular if the dihedral angle at which they meet is a right angle. The word foot is frequently used in connection with

    Perpendicular

    Perpendicular

    Perpendicular

  • Biaugmented triangular prism
  • Triangular prism attached by two square pyramids

    \left(-1/3\right)\approx 109.5^{\circ }} The dihedral angle of a biaugmented triangular prism between square and triangle is the dihedral angle of a triangular prism between

    Biaugmented triangular prism

    Biaugmented triangular prism

    Biaugmented_triangular_prism

  • Hour angle
  • Coordinates used in the equatorial coordinate system

    In astronomy and celestial navigation, the hour angle is the dihedral angle between the meridian plane (containing Earth's axis and the zenith) and the

    Hour angle

    Hour angle

    Hour_angle

  • Anti-periplanar
  • Bond arrangement in organic chemistry

    or antiperiplanar, describes the A−B−C−D bond angle in a molecule. In this conformer, the dihedral angle of the A−B bond and the C−D bond is greater than

    Anti-periplanar

    Anti-periplanar

    Anti-periplanar

  • Spherical lune
  • Area on a sphere bounded by two semicircles joined at antipodal points

    which meet at antipodal points. It is an example of a digon, {2}θ, with dihedral angle θ. The word "lune" derives from luna, the Latin word for Moon. Great

    Spherical lune

    Spherical lune

    Spherical_lune

  • Dihedral group
  • Group of symmetries of a regular polygon

    In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections. Dihedral groups are among the

    Dihedral group

    Dihedral group

    Dihedral_group

  • Rhombic dodecahedron
  • Catalan solid with 12 faces

    length and the acute angle measurement is arccos ⁡ ( 1 / 3 ) ≈ 70.53 ∘ {\textstyle \arccos(1/3)\approx 70.53^{\circ }} . Its dihedral angle between two rhombi

    Rhombic dodecahedron

    Rhombic dodecahedron

    Rhombic_dodecahedron

  • Hyperplane
  • Subspace of n-space whose dimension is (n-1)

    influenced by gravitational fields. The dihedral angle between two non-parallel hyperplanes of a Euclidean space is the angle between the corresponding normal

    Hyperplane

    Hyperplane

    Hyperplane

  • Icosidodecahedron
  • Archimedean solid with 32 faces

    {45+17{\sqrt {5}}}{6}}a^{3}&\approx 13.836a^{3}.\end{aligned}}} The dihedral angle of an icosidodecahedron between pentagon-to-triangle is arccos ⁡ ( −

    Icosidodecahedron

    Icosidodecahedron

    Icosidodecahedron

  • Cube
  • Solid with six equal square faces

    the same dihedral angle, the angle between two adjacent faces at a common edge, a right angle or 90°, obtained from the interior angle (an angle formed

    Cube

    Cube

    Cube

  • Augmented triangular prism
  • Triangular prism attached by a square pyramid

    dihedral angle two adjacent squares is the interior angle of a triangular prism, π / 3 = 60 ∘ {\displaystyle \pi /3=60^{\circ }} . The dihedral angle

    Augmented triangular prism

    Augmented triangular prism

    Augmented_triangular_prism

  • Disdyakis triacontahedron
  • Catalan solid with 120 faces

    triacontahedron's three face angles α 4 , α 6 , α 10 {\displaystyle \alpha _{4},\alpha _{6},\alpha _{10}} and common dihedral angle θ {\displaystyle \theta

    Disdyakis triacontahedron

    Disdyakis triacontahedron

    Disdyakis_triacontahedron

  • Solid angle
  • Measure in 3-dimensional geometry

    Define the vertex angle θa to be the angle BOC and define θb, θc correspondingly. Let ϕ a b {\displaystyle \phi _{ab}} be the dihedral angle between the planes

    Solid angle

    Solid angle

    Solid_angle

  • Molecular geometry
  • Study of the 3D shapes of molecules

    determine complementary information including relative distances, dihedral angles, angles, and connectivity. Molecular geometries are best determined at

    Molecular geometry

    Molecular geometry

    Molecular_geometry

  • Elongated pentagonal bipyramid
  • 16th Johnson solid; pentagonal prism capped by pyramids

    pentagonal prism, the dihedral group D 5 h {\displaystyle D_{5\mathrm {h} }} of order 20. Its dihedral angle can be calculated by adding the angle of the pentagonal

    Elongated pentagonal bipyramid

    Elongated pentagonal bipyramid

    Elongated_pentagonal_bipyramid

  • Cuboctahedron
  • Polyhedron with 8 triangles and 6 squares

    \end{aligned}}} The dihedral angle of a cuboctahedron can be calculated with the angle of triangular cupolas. The dihedral angle of a triangular cupola

    Cuboctahedron

    Cuboctahedron

    Cuboctahedron

  • Catalan solid
  • 13 polyhedra; duals of the Archimedean solids

    but not face-transitive. Each Catalan solid has constant dihedral angles, meaning the angle between any two adjacent faces is the same. Additionally,

    Catalan solid

    Catalan solid

    Catalan_solid

  • Dehn invariant
  • Value determined from a polyhedron

    edge lengths and dihedral angles (the angle between two faces meeting along an edge) of all of the polyhedra. Find a subset of the angles that forms a rational

    Dehn invariant

    Dehn_invariant

  • Regular octahedron
  • Solid with eight equal triangular faces

    The dihedral angle of a regular octahedron is the angle between its two adjacent triangular faces. The angle can be obtained from the dihedral angle of

    Regular octahedron

    Regular octahedron

    Regular_octahedron

  • Biaugmented pentagonal prism
  • 53rd Johnson solid (13 faces)

    {5}}}}}}{12}}a^{3}\approx 2.1919a^{3}.} The dihedral angle of an augmented pentagonal prism can be calculated by adding the dihedral angle of an equilateral square pyramid

    Biaugmented pentagonal prism

    Biaugmented pentagonal prism

    Biaugmented_pentagonal_prism

  • 3-manifold
  • Mathematical space

    five pentagonal faces, and the dihedral angle between these pentagons is 72°. This does not match the 117° dihedral angle of a regular dodecahedron in Euclidean

    3-manifold

    3-manifold

    3-manifold

  • Elongated square pyramid
  • Polyhedron with cube and square pyramid

    {\displaystyle C_{4v}} of order eight. It has three kinds of dihedral angle: The dihedral angle between adjacent triangles is that of a regular octahedron

    Elongated square pyramid

    Elongated square pyramid

    Elongated_square_pyramid

  • Elongated square bipyramid
  • Cube capped by two square pyramids

    Its dihedral angle can be obtained in a similar way as the elongated square pyramid, by adding the angle of square pyramids and a cube: The dihedral angle

    Elongated square bipyramid

    Elongated square bipyramid

    Elongated_square_bipyramid

  • Backbone-dependent rotamer library
  • Collection of data on conformations of a given protein's amino acid side chains

    backbone-dependent rotamer library provides the frequencies, mean dihedral angles, and standard deviations of the discrete conformations (known as rotamers)

    Backbone-dependent rotamer library

    Backbone-dependent rotamer library

    Backbone-dependent_rotamer_library

  • Augmented truncated tetrahedron
  • 65th Johnson solid (14 faces)

    tetrahedron: 70.53°; its dihedral angle between triangle and square is as in the triangular cupola's angle: 125.3° its dihedral angle between triangle and

    Augmented truncated tetrahedron

    Augmented truncated tetrahedron

    Augmented_truncated_tetrahedron

  • Elongated triangular pyramid
  • 7th Johnson solid (7 faces)

    of order 6. Its dihedral angle can be calculated by adding the angle of the tetrahedron and the triangular prism: the dihedral angle of a tetrahedron

    Elongated triangular pyramid

    Elongated triangular pyramid

    Elongated_triangular_pyramid

  • Elongated pentagonal pyramid
  • 9th Johnson solid (11 faces)

    prism's pentagonal base, 108°; the dihedral angle between the pentagon and a square is the right angle, 90°; the dihedral angle between adjacent triangles is

    Elongated pentagonal pyramid

    Elongated pentagonal pyramid

    Elongated_pentagonal_pyramid

  • Gauche effect
  • Molecular-structural phenomenon

    in the gauche rotamer causes increased CCF bond angles (by 3.2°) and increased FCCF dihedral angles (from the default 60° to 71°). In the related compound

    Gauche effect

    Gauche effect

    Gauche_effect

  • Alpha helix
  • Type of secondary structure of proteins

    dihedral angles around (−60°, −45°), as shown in the image at right. In more general terms, they adopt dihedral angles such that the ψ dihedral angle

    Alpha helix

    Alpha helix

    Alpha_helix

  • Augmented hexagonal prism
  • 54th Johnson solid (11 faces)

    full-turn angle. Its dihedral angle can be obtained by calculating the angle of a square pyramid and a hexagonal prism in the following: The dihedral angle of

    Augmented hexagonal prism

    Augmented hexagonal prism

    Augmented_hexagonal_prism

  • Regular dodecahedron
  • Solid with 12 equal pentagonal faces

    of a regular pentagon of edge length ϕ {\displaystyle \phi } . The dihedral angle of a regular dodecahedron between every two adjacent pentagonal faces

    Regular dodecahedron

    Regular dodecahedron

    Regular_dodecahedron

  • Karplus equation
  • Correlation used in NMR spectroscopy

    Karplus, describes the correlation between 3J-coupling constants and dihedral torsion angles in nuclear magnetic resonance spectroscopy: J ( ϕ ) = A cos 2 ϕ

    Karplus equation

    Karplus equation

    Karplus_equation

  • Augmented pentagonal prism
  • 52nd Johnson solid (10 faces)

    for which adding the dihedral angle of an equilateral square pyramid between its base and its lateral face, and the dihedral angle of a regular pentagonal

    Augmented pentagonal prism

    Augmented pentagonal prism

    Augmented_pentagonal_prism

  • Elongated triangular bipyramid
  • 14th Johnson solid; triangular prism capped with tetrahedra

    as the triangular prism, the dihedral group D 3 h {\displaystyle D_{3\mathrm {h} }} of order twelve. The dihedral angle of an elongated triangular bipyramid

    Elongated triangular bipyramid

    Elongated triangular bipyramid

    Elongated_triangular_bipyramid

  • Snub square antiprism
  • 85th Johnson solid (26 faces)

    These types form a dihedral angle, a measured angle between two faces. For triangle-to-triangle, there are three different angles: eight form 164.257°

    Snub square antiprism

    Snub square antiprism

    Snub_square_antiprism

  • Gyroelongated square pyramid
  • 10th Johnson solid (13 faces)

    eight. Its dihedral angle can be derived by calculating the angle of a square pyramid and square antiprism in the following: the dihedral angle of an equilateral

    Gyroelongated square pyramid

    Gyroelongated square pyramid

    Gyroelongated_square_pyramid

  • Deltoidal icositetrahedron
  • Catalan solid with 24 kite faces

    congruent, each has three interior angles approximately 81.6 degrees and one angle 115.3 degrees. The dihedral angle between every two kites is 138.1 degrees

    Deltoidal icositetrahedron

    Deltoidal icositetrahedron

    Deltoidal_icositetrahedron

  • Angle
  • Figure formed by two rays meeting at a common point

    Central angle Clock angle problem Decimal degrees Dihedral angle Exterior angle theorem Golden angle Great circle distance Horn angle Inscribed angle Irrational

    Angle

    Angle

    Angle

  • Kuhn length
  • Idealization in polymer thermodynamics

    repeat units) with bond length l {\displaystyle l} and bond angle θ with a dihedral angle energy potential,[clarification needed] the mean square end-to-end

    Kuhn length

    Kuhn length

    Kuhn_length

  • Flight
  • Movement of an object through air

    affects altitude, heading). Wings are often angled slightly upwards- they have "positive dihedral angle" which gives inherent roll stabilization. It

    Flight

    Flight

    Flight

  • BINAP
  • Chemical compound

    linking the naphthyl rings. The dihedral angle between the naphthyl groups is approximately 90°. The natural bite angle is 93°. BINAP is used in organic

    BINAP

    BINAP

    BINAP

  • Angles between flats
  • Concept in geometry

    The concept of angles between lines (in the plane or in space), between two planes (dihedral angle) or between a line and a plane can be generalized to

    Angles between flats

    Angles_between_flats

  • Beta sheet
  • Protein structural motif

    extended; rather, they exhibit a twist. The energetically preferred dihedral angles near (φ, ψ) = (–135°, 135°) (broadly, the upper left region of the

    Beta sheet

    Beta sheet

    Beta_sheet

  • Janin Plot
  • Data visualisation for protein structure

    way to visualize dihedral angle distributions in protein structures. While a Ramachandran plot relates the two backbone dihedral angles, a Janin plot relates

    Janin Plot

    Janin Plot

    Janin_Plot

  • Butadiene
  • Chemical compound

    is considered to have a C2-C3 dihedral angle of 180°. In contrast, the s-cis conformation, in which the dihedral angle is 0°, with the pair of double

    Butadiene

    Butadiene

    Butadiene

  • Pentagonal gyrobicupola
  • 31st Johnson solid (22 faces)

    {\displaystyle D_{5d}} . Its dihedral angles (i.e., the angle between two adjacent polygonal faces) are as follows: the angle between a pentagon and a square

    Pentagonal gyrobicupola

    Pentagonal gyrobicupola

    Pentagonal_gyrobicupola

  • Pentagonal pyramid
  • Pyramid with a pentagon base

    classified as the second Johnson solid J 2 {\displaystyle J_{2}} . The dihedral angle between two adjacent triangular faces is approximately 138.19° and that

    Pentagonal pyramid

    Pentagonal pyramid

    Pentagonal_pyramid

  • Gyroelongated square bipyramid
  • Convex polyhedron with 16 triangular faces

    the dihedral angle of a square antiprism between two adjacent triangles, approximately 127.55 ∘ {\displaystyle 127.55^{\circ }} the dihedral angle between

    Gyroelongated square bipyramid

    Gyroelongated square bipyramid

    Gyroelongated_square_bipyramid

  • Total internal reflection
  • Complete reflection of a wave

    refraction for waves: But the dihedral angle between two planes is also the angle between their normals. So θ1 is the angle between the normal to the incident

    Total internal reflection

    Total internal reflection

    Total_internal_reflection

  • Rectangular cuboid
  • Cuboid with all right angles and equal opposite faces

    case of a cuboid with rectangular faces in which all of its dihedral angles are right angles. This shape is also called rectangular parallelepiped or orthogonal

    Rectangular cuboid

    Rectangular cuboid

    Rectangular_cuboid

  • Law of constancy of interfacial angles
  • Law of crystallography

    in the angles between crystal faces. Mathematically, the sum of the interfacial angle (external angle) and the dihedral angle (internal angle) between

    Law of constancy of interfacial angles

    Law of constancy of interfacial angles

    Law_of_constancy_of_interfacial_angles

  • 6-simplex
  • Uniform 6-polytope

    tetrahedral cells, 21 5-cell 4-faces, and 7 5-simplex 5-faces. Its dihedral angle is cos−1(1/6), or approximately 80.41°. It can also be called a heptapeton

    6-simplex

    6-simplex

  • Gyroelongated pentagonal rotunda
  • 25th Johnson solid (37 faces)

    C_{5\mathrm {v} }} of order ten. Its dihedral angle, an angle between two polygonal faces, can be obtained from the dihedral angle of a pentagonal rotunda and

    Gyroelongated pentagonal rotunda

    Gyroelongated pentagonal rotunda

    Gyroelongated_pentagonal_rotunda

  • Triangular orthobicupola
  • Two joined triangular cupolae

    triangular orthobicupola has three different dihedral angles (angles between two polygonal faces): An angle between two adjacent triangles is around 141°

    Triangular orthobicupola

    Triangular orthobicupola

    Triangular_orthobicupola

  • Tesseract
  • Four-dimensional analogue of the cube

    each face has Schläfli symbol {4,3,3,4}. Hence, the tesseract has a dihedral angle of 90°. The tesseract's radial equilateral symmetry makes its tessellation

    Tesseract

    Tesseract

    Tesseract

  • Snub disphenoid
  • Convex polyhedron with 12 triangular faces

    forming three different dihedral angles, an angle formed by two polygonal faces. In approximation, four edges form an angle of 164.2°, eight form 121

    Snub disphenoid

    Snub disphenoid

    Snub_disphenoid

  • Volume Area Dihedral Angle Reporter
  • Volume, Area, Dihedral Angle Reporter (VADAR) is a freely available protein structure validation web server that was developed as a collaboration between

    Volume Area Dihedral Angle Reporter

    Volume_Area_Dihedral_Angle_Reporter

  • Lone pair
  • Pair of valence electrons which are not shared with another atom in a covalent bond

    maximizing nO(π)-σ* overlap (maximum at 90° dihedral angle) and nO(σ)-σ* overlap (maximum at 0° dihedral angle), a compromise that leads to the conclusion

    Lone pair

    Lone pair

    Lone_pair

  • Elongated triangular gyrobicupola
  • 36th Johnson solid (20 faces)

    symmetry, the dihedral group D 3 d {\displaystyle D_{3d}} of order 12.[clarification needed] Its dihedral angle can be calculated by adding the angle of the

    Elongated triangular gyrobicupola

    Elongated triangular gyrobicupola

    Elongated_triangular_gyrobicupola

  • Pyramidal alkene
  • learned from them about the nature of chemical bonding. Twisting to a 90° dihedral angle between two of the groups on the carbons requires less energy than the

    Pyramidal alkene

    Pyramidal_alkene

  • Regular tetrahedron
  • Solid with four equal triangular faces

    is one-third of the height of an equilateral triangle, the dihedral angle (i.e., an angle between two triangular faces) of a regular tetrahedron is arccos

    Regular tetrahedron

    Regular tetrahedron

    Regular_tetrahedron

  • Protein structure prediction
  • Type of biological prediction

    backbone dihedral angles in unassigned regions. Both SVMs and neural networks have been applied to this problem. More recently, real-value torsion angles can

    Protein structure prediction

    Protein structure prediction

    Protein_structure_prediction

  • Spherical trigonometry
  • Geometry of figures on the surface of a sphere

    0<a+b+c<2\pi } (Todhunter, Art.22,32). The angle A (respectively, B and C) may be regarded either as the dihedral angle between the two planes that intersect

    Spherical trigonometry

    Spherical trigonometry

    Spherical_trigonometry

  • Elongated triangular orthobicupola
  • 35th Johnson solid (20 faces)

    orthobicupola, the dihedral group D 3 h {\displaystyle D_{3h}} of order 12. Its dihedral angle can be calculated by adding the angle of the triangular

    Elongated triangular orthobicupola

    Elongated triangular orthobicupola

    Elongated_triangular_orthobicupola

  • Joint (geology)
  • Type of fracture in rock

    The angles at which joint sets within a joint system commonly intersect are called dihedral angles by structural geologists. When the dihedral angles are

    Joint (geology)

    Joint (geology)

    Joint_(geology)

  • Right angle
  • 90° angle (π/2 radians)

    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

    Right angle

    Right angle

    Right_angle

  • Triakis tetrahedron
  • Catalan solid with 12 faces

    tetrahedral T d {\displaystyle \mathrm {T} _{\mathrm {d} }} . Each dihedral angle between triangular faces is arccos ⁡ ( − 7 / 11 ) ≈ 129.52 ∘ {\displaystyle

    Triakis tetrahedron

    Triakis tetrahedron

    Triakis_tetrahedron

  • Spherical law of cosines
  • Mathematical relation in spherical triangles

    proportional to the measures of the central angles they subtend. The angles between sides are dihedral angles between the planes containing them. In the

    Spherical law of cosines

    Spherical law of cosines

    Spherical_law_of_cosines

  • Pentane interference
  • Steric effect from the spatial arrangement of methyl groups in n-pentane

    this conformation is reduction in allylic strain by minimizing the dihedral angle between the arene double bond and the methine proton. Syn-pentane interactions

    Pentane interference

    Pentane interference

    Pentane_interference

  • Elongated triangular cupola
  • 18th Johnson solid (14 faces)

    of order 6. Its dihedral angle can be calculated by adding the angle of a triangular cupola and a hexagonal prism: the dihedral angle of an elongated

    Elongated triangular cupola

    Elongated triangular cupola

    Elongated_triangular_cupola

  • Trigonometry of a tetrahedron
  • tetrahedron. The 12 face angles - there are three of them for each of the four faces of the tetrahedron. The 6 dihedral angles - associated to the six

    Trigonometry of a tetrahedron

    Trigonometry_of_a_tetrahedron

  • Truncated dodecahedron
  • Archimedean solid with 32 faces

    {5}{12}}\left(99+47{\sqrt {5}}\right)a^{3}&&\approx 85.040a^{3}\end{aligned}}} The dihedral angle of a truncated dodecahedron between two regular dodecahedral faces is

    Truncated dodecahedron

    Truncated dodecahedron

    Truncated_dodecahedron

  • 2,2,4,4-Tetramethyl-1,3-cyclobutanediol
  • Chemical compound

    non-planar cyclobutanes, dihedral angles range from 19 to 31°. CBDO’s cis isomer crystallizes as two conformers with an average dihedral angle of 17.5° in the

    2,2,4,4-Tetramethyl-1,3-cyclobutanediol

    2,2,4,4-Tetramethyl-1,3-cyclobutanediol

    2,2,4,4-Tetramethyl-1,3-cyclobutanediol

  • Thiuram disulfide
  • Class of chemical compounds

    C(S)−N bond is short (1.33 Å), indicative of multiple bonding. The dihedral angle between the two dithiocarbamate subunits approaches 90°. Thiuram disulfides

    Thiuram disulfide

    Thiuram disulfide

    Thiuram_disulfide

  • Aircraft dynamic modes
  • Types of aircraft behavior

    effects coming from design characteristics, such as high wings, dihedral angles or sweep angles. The second lateral motion is an oscillatory combined roll

    Aircraft dynamic modes

    Aircraft_dynamic_modes

  • Gyroelongated square bicupola
  • 45th Johnson solid (34 faces)

    octagonal antiprism. Its dihedral angles can be calculated by adding the components of cupolae and antiprism. The dihedral angle of antiprism between two

    Gyroelongated square bicupola

    Gyroelongated square bicupola

    Gyroelongated_square_bicupola

  • Oxalate
  • Any derivative of oxalic acid; chemical compound containing oxalate moiety

    conformation. However, in the structure of caesium oxalate Cs2C2O4 the O–C–C–O dihedral angle is 81(1)°. Therefore, Cs2C2O4 is more closely approximated by a D2d

    Oxalate

    Oxalate

    Oxalate

  • Gyroelongated pentagonal pyramid
  • 11th Johnson solid (16 faces)

    order 10. Its dihedral angle can be obtained by involving the angle of a pentagonal antiprism and pentagonal pyramid: its dihedral angle between triangle-to-pentagon

    Gyroelongated pentagonal pyramid

    Gyroelongated pentagonal pyramid

    Gyroelongated_pentagonal_pyramid

  • Psi (Greek)
  • Penultimate letter in the Greek alphabet

    uncommon nucleoside A stream function in fluid mechanics One of the dihedral angles in the backbones of proteins Indiana University (as a superimposed

    Psi (Greek)

    Psi (Greek)

    Psi_(Greek)

  • Pentagonal icositetrahedron
  • Catalan solid with 24 faces

    (t+1)/2\approx 1.419\,643\,377\,607\,08} . The acute angle is between the two long edges. The dihedral angle equals arccos ⁡ ( − 1 / ( t 2 − 2 ) ) ≈ 136.309

    Pentagonal icositetrahedron

    Pentagonal icositetrahedron

    Pentagonal_icositetrahedron

  • Phi
  • Twenty-first letter in the Greek alphabet

    the polar angle (from the z-axis). The convention in physics is to use ϕ as the azimuthal angle (from the x-axis). One of the dihedral angles in the backbones

    Phi

    Phi

    Phi

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  • Anglesey
  • Boy/Male

    British, English

    Anglesey

    From Anglesey

    Anglesey

  • Angleen
  • Boy/Male

    Hindu

    Angleen

    Feminine

    Angleen

  • Wham
  • Surname or Lastname

    Scottish

    Wham

    Scottish : variant of Whan.English : topographic name for someone who lived in a corner or angle or land, from Old English hwamm ‘corner’, or a habitational name from Wham in County Durham, named with this word.

    Wham

  • Huxford
  • Surname or Lastname

    English

    Huxford

    English : habitational name from a place in Devon called Huxford (preserved in the name of Huxford Farm), from the Old English personal name Hōcc or the Old English word hōc ‘hook or angle of land’ + ford ‘ford’.

    Huxford

  • Butt
  • Surname or Lastname

    English

    Butt

    English : topographic name for someone who lived near a place used for archery practice, from Middle English butte ‘mark for archery’, ‘target’, ‘goal’. In the Middle Ages archery practice was a feudal obligation, and every settlement had its practice area.English : topographic name from Middle English butte ‘strip of land abutting on a boundary’, ‘short strip or ridge at right angles to other strips in a common field’.English : from Middle English butte, bott ‘butt’, ‘cask’, applied as a metonymic occupational name for a cooper or as a nickname possibly for a heavy drinker or for a large, fat man.English : from a Middle English personal name, But(t), of unknown origin, perhaps originally a nickname meaning ‘short and stumpy’, and akin to late Middle English butt ‘thick end’, ‘stump’, ‘buttock’ (of Germanic origin).German and English : in both Middle Low German and Middle English the word but(te) denoted various types of marine fish, originally a fish with a blunt head, for example halibut (German Heilbutt) or turbot (German Steinbutt), and the surname may in some cases be a metonymic occupational name for a seller of fish or salt fish.Kashmiri : variant of Bhatt.Robert Butt came from Kent, England, to NC in 1640.

    Butt

  • Inglett
  • Surname or Lastname

    English

    Inglett

    English : from the Middle English personal name Ingelot, a pet form of any of various names such as Ingelbald ‘Angle bold’, Ingelbert ‘Angle bright’, or Ingelard ‘Angle hardy’. These were names of Germanic origin, introduced to Britain by the Normans or possibly by the Danish invaders a century earlier.

    Inglett

  • Ingel
  • Boy/Male

    German, Swedish

    Ingel

    Angel; Bright Angle

    Ingel

  • Angle
  • Girl/Female

    Indian

    Angle

    Pari fairy

    Angle

  • Corner
  • Surname or Lastname

    English

    Corner

    English : occupational name for a hornblower or worker in horn, from an agent derivative of Old French corne ‘horn’ (see Corne).English : metonymic occupational name for a maker of hand mills, from an agent derivative of Old English cweorn ‘hand mill’ (see Corn 3).English : topographic name for someone who lived on the corner of two streets or tracks, (Middle English corner, from Old French cornier ‘angle’, ‘corner’).Americanized spelling of German Körner (see Koerner) or Swiss Korner.

    Corner

  • English
  • Surname or Lastname

    English

    English

    English : from Old English Englisc. The word had originally distinguished Angles (see Engel) from Saxons and other Germanic peoples in the British Isles, but by the time surnames were being acquired it no longer had this meaning. Its frequency as an English surname is somewhat surprising. It may have been commonly used in the early Middle Ages as a distinguishing epithet for an Anglo-Saxon in areas where the culture was not predominantly English--for example the Danelaw area, Scotland, and parts of Wales--or as a distinguishing name after 1066 for a non-Norman in the regions of most intensive Norman settlement. However, explicit evidence for these assumptions is lacking, and at the present day the surname is fairly evenly distributed throughout the country.Irish : see Golightly.

    English

  • Angley
  • Surname or Lastname

    English

    Angley

    English : Americanized form of French Anglais ‘English(man)’.

    Angley

  • Leisha
  • Girl/Female

    Hindu

    Leisha

    Angle, Of noble kind

    Leisha

  • Ingbert
  • Boy/Male

    Danish, German, Swedish

    Ingbert

    Angle Bright

    Ingbert

  • Kezia
  • Girl/Female

    Biblical Hebrew

    Kezia

    Superficies, the angle, cassia.

    Kezia

  • Kezia
  • Girl/Female

    Biblical, Christian, Danish, German, Hawaiian, Hebrew

    Kezia

    Superficies; The Angle; Cassia; Name for a Variety of Trees and Shrubs; One of which Produces Cinnamon; Sweet Scented Spice; Super; Cinnamon Tree

    Kezia

  • Angle
  • Surname or Lastname

    English and Irish (of Norman origin)

    Angle

    English and Irish (of Norman origin) : topographic name from Middle English and Old French angle ‘angle’, ‘corner’ (Latin angulus). As an Irish surname, it can also be habitational, from a place in Pembrokeshire, South Wales, named with this word.Americanized spelling of German Angel or Engel.

    Angle

  • Angle | அந்கலே
  • Girl/Female

    Tamil

    Angle | அந்கலே

    Pari fairy

    Angle | அந்கலே

  • Angleton
  • Surname or Lastname

    English

    Angleton

    English : habitational name from a place in Staffordshire named Engleton, from Old English Engla (genitive plural of Engle ‘Angle’) + tūn ‘settlement’.

    Angleton

  • Leisha | லேஈஷா
  • Girl/Female

    Tamil

    Leisha | லேஈஷா

    Angle, Of noble kind

    Leisha | லேஈஷா

  • Engla
  • Girl/Female

    German, Swedish

    Engla

    Bright Angle

    Engla

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Online names & meanings

  • Jawl |
  • Girl/Female

    Muslim

    Jawl |

    To move freely

  • ASTA
  • Female

    Scandinavian

    ASTA

    Pet form of Scandinavian Astrid, ASTA means "divine beauty."

  • Hadley
  • Boy/Male

    American, Anglo, Australian, British, English, Jamaican

    Hadley

    From the Heather Covered Meadow; From Heather's Field

  • SERGIUSZ
  • Male

    Polish

    SERGIUSZ

    Polish form of Greek Sergios, possibly SERGIUSZ means "sergeant."

  • Harsan
  • Boy/Male

    Hindu, Indian

    Harsan

    God

  • Pragathi
  • Girl/Female

    Hindu, Indian, Tamil, Telugu

    Pragathi

    Progress; Success; Continues Improvement

  • Garwin
  • Boy/Male

    English

    Garwin

    Friend with a spear.

  • Bhagyawati
  • Girl/Female

    Indian

    Bhagyawati

    Lucky

  • SIMONA
  • Female

    Italian

    SIMONA

    Feminine form of Italian Simone, SIMONA means "hearkening."

  • Saurika
  • Girl/Female

    Hindu, Indian, Marathi

    Saurika

    Heavenly

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Other words and meanings similar to

DIHEDRAL ANGLE

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DIHEDRAL ANGLE

  • Triedral
  • a.

    See Trihedral.

  • Right-angled
  • a.

    Containing a right angle or right angles; as, a right-angled triangle.

  • Diedral
  • a.

    The same as Dihedral.

  • Angle
  • n.

    The difference of direction of two lines. In the lines meet, the point of meeting is the vertex of the angle.

  • Angled
  • imp. & p. p.

    of Angle

  • Dihedron
  • n.

    A figure with two sides or surfaces.

  • Oblique-angled
  • a.

    Having oblique angles; as, an oblique-angled triangle.

  • Angle
  • v. i.

    To fish with an angle (fishhook), or with hook and line.

  • Vireton
  • n.

    An arrow or bolt for a crossbow having feathers or brass placed at an angle with the shaft to make it spin in flying.

  • Anglemeter
  • n.

    An instrument to measure angles, esp. one used by geologists to measure the dip of strata.

  • Angles
  • n. pl.

    An ancient Low German tribe, that settled in Britain, which came to be called Engla-land (Angleland or England). The Angles probably came from the district of Angeln (now within the limits of Schleswig), and the country now Lower Hanover, etc.

  • Acute-angled
  • a.

    Having acute angles; as, an acute-angled triangle, a triangle with every one of its angles less than a right angle.

  • Trihedral
  • a.

    Having three sides or faces; thus, a trihedral angle is a solid angle bounded by three plane angles.

  • Angleworm
  • n.

    A earthworm of the genus Lumbricus, frequently used by anglers for bait. See Earthworm.

  • Dihedral
  • a.

    Having two plane faces; as, the dihedral summit of a crystal.

  • Angler
  • n.

    One who angles.

  • Angle
  • v. i.

    To use some bait or artifice; to intrigue; to scheme; as, to angle for praise.

  • Valley
  • n.

    The place of meeting of two slopes of a roof, which have their plates running in different directions, and form on the plan a reentrant angle.

  • Angled
  • a.

    Having an angle or angles; -- used in compounds; as, right-angled, many-angled, etc.

  • Undecagon
  • n.

    A figure having eleven angles and eleven sides.