Property of a planar object which maps onto itself after rotation by any angle
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In 2-dimensions an archery target has circular symmetry.
A surface of revolution has circular symmetry around an axis in 3-dimensions.
In geometry, circular symmetry is a type of continuous symmetry for a planar object that can be rotated by any arbitrary angle and map onto itself.
Rotational circular symmetry is isomorphic with the circle group in the complex plane, or the special orthogonal group SO(2), and unitary group U(1). Reflective circular symmetry is isomorphic with the orthogonal group O(2).
In geometry, circularsymmetry is a type of continuous symmetry for a planar object that can be rotated by any arbitrary angle and map onto itself. Rotational...
whole cone) has a circularsymmetry. In common usage in elementary geometry, cones are assumed to be right circular, where circular means that the base...
and the center of one face. Rotational symmetry with respect to any angle is, in two dimensions, circularsymmetry. The fundamental domain is a half-line...
symmetry can also be discrete with a fixed angle of rotation, 360°/n for n-fold symmetry. Axiality (geometry) Circularsymmetry Reflection symmetry Rotational...
Circularsymmetry of complex random variables is a common assumption used in the field of wireless communication. A typical example of a circular symmetric...
of symmetry. Equivalently, a bicone is the surface created by joining two congruent, right, circular cones at their bases. A bicone has circular symmetry...
continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to discrete symmetry, e.g. reflection...
words, an ellipsoid with two equal semi-diameters. A spheroid has circularsymmetry. If the ellipse is rotated about its major axis, the result is a prolate...
Greek letter sigma. When viewed down the bond axis, a σ MO has a circularsymmetry, hence resembling a similarly sounding "s" atomic orbital. Typically...
paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers...
expectation of a circularly symmetric complex random vector is either zero or it is not defined.: p. 500 The pseudo-covariance matrix of a circularly symmetric...
width" may be preferred in applications where the beam does not have circularsymmetry. The angle between the maximum peak of radiated power and the first...
specific incident geometry (say, Ω i {\displaystyle \Omega _{i}} ). Circularsymmetry All pages with titles containing anisotropy All pages with titles...
line is gauge fixing. Drawing the line spoils the gauge symmetry, i.e., the circularsymmetry U(1) of the cross section at each point of the rod. The...
Finite spherical symmetry groups are also called point groups in three dimensions. There are five fundamental symmetry classes which have triangular fundamental...
realistic fiber, however, there are random imperfections that break the circularsymmetry, causing the two polarizations to propagate with different speeds...
important question about the shape of the double-clad fiber; a fiber with circularsymmetry seems to be the worst possible design. The design should allow the...
typical expanding circular pattern. Tree rings, as can be used for tree-ring dating Centered cube number Homoeoid Focaloid Circularsymmetry Magic circle (mathematics)...
circularsymmetry can better be handled using the set of Laguerre-Gaussian modes introduced in the next section. Beam profiles which are circularly symmetric...
Spontaneous symmetry breaking is a spontaneous process of symmetry breaking, by which a physical system in a symmetric state spontaneously ends up in an...
deviate either to one side of it or the other. In the plane, the circularsymmetry of the system makes it convenient to use polar coordinates ( r , θ...
refer to either of these or to an even more specialized object, the right circular cylinder. The definitions and results in this section are taken from the...
fiber-optic communications. Such imperfections can be geometrical (lack of circularsymmetry), or due to unequal lateral stress applied to the optical fibre. Birefringence...
letter and group order. Full symmetry of the regular form is r20 and no symmetry is labeled a1. The dihedral symmetries are divided depending on whether...
exploit circularsymmetry anymore, since the line between the source and an arbitrary point on the screen does not pass through the center of the circular object...
hexagon has six rotational symmetries (rotational symmetry of order six) and six reflection symmetries (six lines of symmetry), making up the dihedral group...
accompanying diagram. We can take advantage of the model's symmetry: no dependence on θ (circularsymmetry) nor on Z (position along the cable). The model (and...
figure must have an axis of symmetry. In three dimensions, every figure that possesses a plane of symmetry or a center of symmetry is achiral. There are, however...
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