# Questions tagged [rotations]

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

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### how to get desired angular velocity with desired so3 rotation matrice?

i was reading "Geometric Tracking Control of a Quadrotor UAV on SE(3)" (available at https://arxiv.org/abs/1411.2986) and i wanted to simulate it in matlab...) the thing is our closed ...
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### How do I minimize a function where some of the variables are dependent on other variables?

Consider a camera placed in $(XC,YC,ZC)$. The camera is looking down on a flat table $Z=0$: Introduce a local coordinate system for the camera: $(x,y,z)$. Initially the axes of the local coordinate ...
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### Combining rotations about different coordinate systems

I'm working on what I imagine is a common problem, but am struggling to find high quality resources. It is easiest to describe with an example: Let's say I have a series of frames and coordinate ...
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### What convex polygons admit 60 degree rotational symmetry?

I was trying a problem from a contest,i.e rmm that involved these kind of polygons and I tried to find all polygons that admit 60 degree rotational symmetry. I believe intuitive that it has to do with ...
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### How to calculate angle of rotation given a vector and a point

sorry if the title seems vague. English is not my first language and I dont know what to search to find the answer to my problem. I will preface this by explaining the purpose of this question. I have ...
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### Describe a rotating cube around its axis as a piecewise function

Consider a cube filled with random particles. The cube is rotated around the z-axis through its center, with the rotation being proportional to the height within the cube. At the bottom of the cube, ...
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### A single rotation to reach the final pose of a frame

The following question is from Kinematic Analysis of Robot Manipulators by Carl D. Crane, III, Joseph Duffy: "The transformation that relates the A and B coordinate systems is given as That is ...
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