azimuthal symmetry vs cylindrical symmetry

Both "azimuthal symmetry" and "cylindrical symmetry" are correct phrases, but they are used in different contexts. "Azimuthal symmetry" refers to symmetry around an axis in a plane, often used in physics and mathematics. On the other hand, "cylindrical symmetry" refers to symmetry around the axis of a cylinder, commonly used in geometry and physics.

Last updated: March 26, 2024 • 1325 views

This phrase is correct and commonly used in physics and mathematics to describe symmetry around an axis in a plane.

"azimuthal symmetry"

This term is used to describe a type of symmetry where an object or system looks the same when rotated around an axis in a plane.

Show examples from the web [+]

Plane coordinates using the ETRS89 Lambert Azimuthal Equal Area coordinate reference system.
The radar unit shall have an adjusting device for correcting any azimuthal angular error in the antenna mounting.
Airframe symmetry: methods of alignment and symmetry checks.
The azimuthal orientation of the radar image shall be in accordance with the normal situation of the surroundings.
Beauty is symmetry, perfect alignment.
This is a palace celebrating symmetry.
SYMMETRY: Decentralisation has increased the importance of information management systems.
Japan has absorbed Western ideals of symmetry.
The press started asking questions about facial symmetry.
The crossword has 180 degree rotation symmetry.
But 'symmetry' involves line and point symmetry.
I found other pairs all have symmetry, even though, unlike the master one, their symmetry is split.
Viewing axis on to the LED light source an axis through the light centre at defined polar and azimuthal angle used to characterise photometrical properties of the LED light source.
Minimum resolution is understood to be the minimum azimuthal distance between two standard reflectors (see Article 5.03(2)) at which they are shown clearly separated on the radar picture.
Further reflectors with an equivalent radar cross-section of 1 m2 and 1000 m2 shall be set up at an azimuthal angle to each other of at least 15 degrees, at the same distance of 300 m from the antenna.
All reflectors set up within the selected range shall, at all distances up to and including 1200 m, be shown on the screen simultaneously as clearly separated targets, regardless of the azimuthal position of the test field in relation to the lubber line.
And there is some symmetry here in the way the symmetries interact with each other.
Symmetry is the language of the universe.
Everything I learned about body symmetry,
In its purest form, an act of retribution provides symmetry...

Alternatives:

angular symmetry

This phrase is correct and commonly used in geometry and physics to describe symmetry around the axis of a cylinder.

"cylindrical symmetry"

This term is used to describe a type of symmetry where an object or system looks the same when rotated around the axis of a cylinder.

Show examples from the web [+]

Airframe symmetry: methods of alignment and symmetry checks.
Beauty is symmetry, perfect alignment.
This is a palace celebrating symmetry.
SYMMETRY: Decentralisation has increased the importance of information management systems.
Japan has absorbed Western ideals of symmetry.
The press started asking questions about facial symmetry.
The crossword has 180 degree rotation symmetry.
But 'symmetry' involves line and point symmetry.
- By a cylindrical rock formation.
I found other pairs all have symmetry, even though, unlike the master one, their symmetry is split.
And there is some symmetry here in the way the symmetries interact with each other.
Symmetry is the language of the universe.
Everything I learned about body symmetry,
In its purest form, an act of retribution provides symmetry...
Accretion onto a stationary black hole has been solved analytically only under the assumption of spherical symmetry.
Abed renames his fort Pillowtown for the sake of conceptual symmetry.
The symmetry of a ceratopsid and such strong anterior protuberi.
We were making a lot of progress on our super symmetry theory.
And the symmetry of our two roles in it might ease your conscience.
Their bodies are exposed and ridiculed for any failure in symmetry and conditioning.

Alternatives:

axisymmetric symmetry

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azimuthal symmetry vs cylindrical symmetry