# Questions tagged [rotations]

This tag is for questions about *rotations*: a type of rigid motion in a space.

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### Transforming a permutation into a rotation

Let $n\geq 3$ and $G=C_{n}=\{1,r,...,r^{n-1}\}$ be the cyclic group of $n$ elements where $r$ is the rotation of $360/n$ degrees. Here, let us consider a vector $x\in\mathbb{R}^{n}$ as consisting of ...
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### Calculate rotation of phone for steering based on pitch and roll

I am creating a mobile game that uses the orientation of the phone to steer. I have access to the pitch and roll of the device relative to the Earth. I currently use the roll of the device to change ...
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### SVD - Finding the angle of rotation from U and V

Given a 2×3 matrix, the Singular Value Decomposition would give the matrix U which would be a 2x2 matrix and VT (transpose of V), a 3x3 matrix. From what I ...
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### How to calculate the inertia tensor for a cuboid with non-uniform mass distribution?

I've posted a similar question here yesterday that I though would solve my problem but I don't think it fully encompasses the problem I'm having so I'm posting a new question (I do think it's a ...
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