Definition:Rotational Symmetry/Order
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This page is about the order of a rotational symmetry. For other uses, see order.
Definition
Let $F$ be a geometric figure.
Let $\map R F$ be a rotational symmetry around the axis $AB$.
Let the angle of rotation of $R$ be $\dfrac {360 \degrees} n$, that is: $\dfrac {2 \pi} n$ radians.
Then $R$ is referred to as a (rotational) symmetry of order $n$.
Also known as
The order of rotational symmetry of a rotational symmetry $R$ is also known as just the order of symmetry of $R$.
Also see
- Results about order of rotational symmetry can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): order: 11.
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): symmetry
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): order: 11.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): symmetry