Dihedral information

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

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

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...

mathematics, the infinite dihedral group Dih∞ is an infinite group with properties analogous to those of the finite dihedral groups. In two-dimensional...

is known as the binary dihedral group. The connection with the binary cyclic group C2n, the cyclic group Cn, and the dihedral group Dihn of order 2n is...

horizontal spar. Some modern designs use a fixed plastic joiner with a dihedral shape instead of a bowed spar to achieve the same stability effect. Tetrahedral...

"a3b" as a shorthand for a3 ∘ b. In mathematics this group is known as the dihedral group of order 8, and is either denoted Dih4, D4 or D8, depending on the...

A dihedral prime or dihedral calculator prime is a prime number that still reads like itself or another prime number when read in a seven-segment display...

In mathematics, the quasi-dihedral groups, also called semi-dihedral groups, are certain non-abelian groups of order a power of 2. For every positive integer...

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

In mathematics, D3 (sometimes alternatively denoted by D6) is the dihedral group of degree 3 and order 6. It equals the symmetric group S3. It is also...

generalized dihedral groups are a family of groups with algebraic structures similar to that of the dihedral groups. They include the finite dihedral groups...

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

of straight elliptical planform with moderate aspect ratio and slight dihedral. Many variations have been tried. Sometimes the distinction between them...

{\displaystyle \mathbb {R} _{+}} is the multiplicative group of positive reals. The dihedral groups D n {\displaystyle D_{n}} (of order 2n) are Coxeter groups, of corresponding...

Sasisekharan, is a way to visualize energetically allowed regions for backbone dihedral angles ψ against φ of amino acid residues in protein structure. The figure...

For example, with 4 square faces, and 60-degree rhombic faces, and D4h dihedral symmetry, order 16. It can be seen as a cuboctahedron with square pyramids...

The highest octahedral symmetry Oh has all the faces the same color. The dihedral symmetry D4h comes from the cube being a solid, with all the six sides...

prismatic Coxeter diagram: . Below are the first five dihedral symmetries: D2 ... D6. The dihedral symmetry Dp has order 4n, represented the faces of a...

In geometry, dihedral symmetry in three dimensions is one of three infinite sequences of point groups in three dimensions which have a symmetry group that...

symmetry of order 4 (through 90°, 180° and 270°). Its symmetry group is the dihedral group D4. A square can be inscribed inside any regular polygon. The only...

\varphi _{h}(n)=\beta ^{-1}(\gamma (h)\beta (n)\gamma (h^{-1})).} The dihedral group D2n with 2n elements is isomorphic to a semidirect product of the...

fundamental symmetry classes which have triangular fundamental domains: dihedral, cyclic, tetrahedral, octahedral, and icosahedral symmetry. This article...

associated with each Platonic solid. The dihedral angle is the interior angle between any two face planes. The dihedral angle, θ, of the solid {p,q} is given...