Приклади вживання Rotational symmetry Англійська мовою та їх переклад на Українською
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Sea anemones have rotational symmetry.
This rotational symmetry transforms all the orbits of the same energy into one another;
These face-transitive figures have(n32) rotational symmetry.
Key words: noncommutative space, rotational symmetry, two-particle system, hydrogen atom.
Rotational symmetry with respect to any angle is, in two dimensions, circular symmetry. .
Then, using vector analysis, you use rotational symmetry, and you get this next set.
From around the year 1200, girih patterns were made with stars and polygon patterns having 5-and 10-fold rotational symmetry.
An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.
Because its appearance is identical in three distinct orientations, its rotational symmetry is three-fold.
If there is e.g. rotational symmetry with respect to an angle of 100°, then also with respect to one of 20°, the greatest common divisor of 100° and 360°.
Because the tiling was done by translation or rotation operations, the unit cells had 2-, 3-, 4-or 6-fold rotational symmetry.[18].
They ensure, among other things, that the rotational symmetry of the original polyhedron is preserved, and that each stellation is different in outward appearance.
Such patterns usually consist of a repeating"unit cell" with 2-, 3-,or 6-fold rotational symmetry that tiles the plane with no gaps.[3].
Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn.
For this reason, it is not possible to tile theplane periodically with figures having five-fold rotational symmetry, such as a five-pointed star or a decagon.
If the rigid body has rotational symmetry not all orientations are distinguishable, except by observing how the orientation evolves in time from a known starting orientation.
It is usuallyuseful to decompose any force applied to an object with rotational symmetry into components parallel to the cylindrical coordinates r, z, and θ.
In the case of a cube, or of a trigonal trapezohedron where the two truncated vertices are the ones on the stretching axes,the resulting shape has three-fold rotational symmetry.
The triskelion appearing on the Isle of Man flag has rotational symmetry because it appears the same when rotated by one third of a full turn about its center.
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.
Axisymmetric or axisymmetrical are adjectives which refer to an object having cylindrical symmetry, or axisymmetry(i.e. rotational symmetry with respect to a central axis) like a doughnut(torus).
In 4D, continuous or discrete rotational symmetry about a plane corresponds to corresponding 2D rotational symmetry in every perpendicular plane, about the point of intersection.
Of these seven pieces,the parallelogram is unique in that it has no reflection symmetry but only rotational symmetry, and so its mirror image can be obtained only by flipping it over.
The infinite rotational symmetry of the circle implies reflection symmetry as well, but formally the circle group S1 is distinct from Dih(S1) because the latter explicitly includes the reflections.
The girih style of ornamentation is thought to have been inspired by the Syrian Roman knotwork patterns dating back to the 2nd century AD.[1] The predecessors of the girih formwere curvilinear interlaced strapwork with three-fold rotational symmetry.
The optical systems in question have rotational symmetry(omitting non-radial defects), so the didactically correct test image would be a set of concentric circles having even separation- like a shooter's target.
Fold rotational symmetry at one point and 2-fold at another one(or ditto in 3D with respect to parallel axes) implies rotation group p6,i.e. double translational symmetry and 6-fold rotational symmetry at some point(or, in 3D, parallel axis).
An object can also have rotational symmetry about two perpendicular planes, e.g. if it is the Cartesian product of two rotationally symmetry 2D figures, as in the case of e.g. the duocylinder and various regular duoprisms.
The group SO(3) is used to describe the possible rotational symmetries of an object, as well as the possible orientations of an object in space.
Birkhoff first combines(as a sum) five such elements: whether there is a vertical axis of symmetry; whether there is optical equilibrium; how many rotational symmetries it has; how wallpaper-like the figure is; and whether there are unsatisfactory features such as having two vertices too close together.