Questions tagged [quaternions]

37 questions
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Getting Values From Quaternions

I'm using the Quaternion package: << Quaternions` Very simply, I would like to be able to get the individual components of the quaternions by themselves. My problem is, if I try Re[FromQuaternion[Quaternion[1,2,3,4]]] I get 1+Re[3J+4K] I would…
Matt Groff
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Defining Quaternions

According to the documentation online, we can use the following command to load the Quaternion package. << Quaternions` It is clear that the pakage uses left handed quaternions for all its quaternion algebra. Is it possible to define the explicitly…
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How to work with quarternions in Wolfram Mathematica?

How can I write the insructions from this link http://blog.wolframalpha.com/2011/08/25/quaternion-properties-and-interactive-rotations-with-wolframalpha/ in Mathematica to obtain the same result? Thanks!
danciulian
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FromQuaternion and QuaternionQ not working symbolically?

How can I get Mathematica to work with quaternions symbolically? I want to do some quaternion math without defining the actual coefficients, and then extract the coefficients from the resulting quaternion. For some reason, however, FromQuaternion…
John
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Quaternion calculation

Quaternion[0, Cos[Pi/20]/Sqrt[2], Sin[Pi/20]/Sqrt[2], 0] ** Quaternion[0, 1, 0, 0] ** Quaternion[0, -Cos[Pi/20]/Sqrt[2], -Sin[Pi/20]/Sqrt[2], 0] this should produce a table of real numbers, but, at least for me, the result appears to include a…
G Taylor
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How can I get a list of the "coefficients" of Quaternion[1, 2, 3, 4]?

I want to input: Quaternion[1, 2, 3, 4] to get a list: {1,2,3,4}.
Geoffrey Critzer
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