How Quaternions encode rotations: derivation and sample code

Re:How Quaternions encode rotations: derivation and sample code by ThrustVectoring on Wednesday September 07, 2016 @07:09PM (#12448805)

e^(epsilon) ~ 1 + epsilon in general, because of the definition of the derivative and the fact that d/dx (e^x) = e^x

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Re:How Quaternions encode rotations: derivation and sample code by jordigh on Wednesday September 07, 2016 @09:54PM (#12449631)

Right, the latter fact is equivalent to considering exp the solution of a differential equation, which is a much bigger fact. Treating the approximation as an innocent brute fact is what I considered begging the question, because why should this differential equation be valid for complex values?

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Re:How Quaternions encode rotations: derivation and sample code by abecedarius on Wednesday September 07, 2016 @10:21PM (#12449766)

I was trying to make a geometric intuition accessible to high schoolers who haven't mastered calculus -- though I haven't tried it on an actual teenager.

Of course there's also value in looking deeper into the foundations.

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