Gyration
Encyclopedia
In geometry, a gyration is a type of rotation
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The center of a rotational symmetry
is a rotation point. A rotation point that does not lie on a mirror is called a gyration point. A rotocenter is a rotation point with an integral number of rotational symmetries.
Rotation
A rotation is a circular movement of an object around a center of rotation. A three-dimensional object rotates always around an imaginary line called a rotation axis. If the axis is within the body, and passes through its center of mass the body is said to rotate upon itself, or spin. A rotation...
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The center of a rotational symmetry
Rotational symmetry
Generally speaking, an object with rotational symmetry is an object that looks the same after a certain amount of rotation. An object may have more than one rotational symmetry; for instance, if reflections or turning it over are not counted, the triskelion appearing on the Isle of Man's flag has...
is a rotation point. A rotation point that does not lie on a mirror is called a gyration point. A rotocenter is a rotation point with an integral number of rotational symmetries.
See also
- Terms starting with gyro
- Radius of gyrationRadius of gyrationRadius of gyration or gyradius is the name of several related measures of the size of an object, a surface, or an ensemble of points. It is calculated as the root mean square distance of the objects' parts from either its center of gravity or an axis....
- Gyroradius