Примеры использования Rotational symmetry на Английском языке и их переводы на Русский язык
{-}
-
Official
-
Colloquial
Both of these types of figures will contain rotational symmetry.
Plants often have radial or rotational symmetry, as do many flowers and some groups of animals such as sea anemones.
These face-transitive figures have(n32) rotational symmetry.
The rotational symmetry of order 2 with centres of rotation at the centres of the sides of the rhombus is a consequence of the other properties.
In general a parallelogon has 180-degree rotational symmetry around its center.
It follows that all vertices are congruent, andthe polyhedron has a high degree of reflectional and rotational symmetry.
The tesseractic honeycomb has an eightfold rotational symmetry, corresponding to an eightfold rotational symmetry of the tesseract.
Moreover, every integer-sided equiangular pk-gon has p-fold rotational symmetry.
Formally the rotational symmetry is symmetry with respect to some or all rotations in m-dimensional Euclidean space.
It looks the same no matter how one rotates it, and the resulting rotational symmetry is referred to as isotropy of space.
Examples of group p4 A p4 pattern can be looked upon as a repetition in rows andcolumns of equal square tiles with 4-fold rotational symmetry.
Rotational symmetry is shown by alternately white and blue colored areas with a single fundamental domain for each subgroup is filled in yellow.
It is the dual of the uniform tiling, snub trihexagonal tiling, and has rotational symmetry of orders 6-3-2 symmetry. .
These figures andtheir duals have(n32) rotational symmetry, being in the Euclidean plane for n 6, and hyperbolic plane for any higher n.
A p4g pattern can be looked upon as a checkerboard pattern of copies of a square tile with 4-fold rotational symmetry, and its mirror image.
These figures andtheir duals have(n32) rotational symmetry, being in the Euclidean plane for n 6, and hyperbolic plane for any higher n.
Because the tiling makes use of translation and rotation operations, the unit cells need to have 2-, 3-,4- or 6-fold rotational symmetry.
They ensure, among other things, that the rotational symmetry of the original polyhedron is preserved, and that each stellation is different in outward appearance.
It is therefore impossible to tile the plane periodically with a figure that has five-fold rotational symmetry, such as a five-pointed star or a decagon.
Specifically, the decagon has tenfold rotational symmetry(rotation by 36°); and the pentagon has fivefold rotational symmetry rotation by 72°.
If there is only one simple doubling symmetry, Y can be implicit like with either reflectional or rotational symmetry depending on the context.
Note that any physical object having infinite rotational symmetry will also have the symmetry of mirror planes through the axis.
A central role in their analysis is played by Zernike's circle polynomials that allow an efficient representation of the aberrations of any optical system with rotational symmetry.
The floret pentagonal tiling has geometric variations with unequal edge lengths and rotational symmetry, which is given as monohedral pentagonal tiling type 5.
Rotational symmetry is found at different scales among non-living things, including the crown-shaped splash pattern formed when a drop falls into a pond, and both the spheroidal shape and rings of a planet like Saturn.
There are four involutional groups: no symmetry(C1),reflection symmetry(Cs), 2-fold rotational symmetry(C2), and central point symmetry Ci.
A pattern with 4-fold rotational symmetry has a square lattice of 4-fold rotocenters that is a factor√2 finer and diagonally oriented relative to the lattice of translational symmetry. .
If such a spheroid is composed of a viscous fluid, andif it suffers a perturbation which breaks its rotational symmetry, then it will gradually elongate into the Jacobi ellipsoidal form, while dissipating its excess energy as heat.
This rotational symmetry transforms all the orbits of the same energy into one another; however, such a rotation is orthogonal to the usual three-dimensional rotations, since it transforms the fourth dimension ηw.
For example, two 3D objects have the same symmetry type: if both have mirror symmetry, butwith respect to a different mirror plane if both have 3-fold rotational symmetry, but with respect to a different axis.