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| 10 Jul 2016 12:59 AM |
| You can actually take the natural logarithm of a quaternion. And you can raise e to the power of a quaternion. Math is weird. |
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ElectroTM
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| Joined: 23 Nov 2012 |
| Total Posts: 1135 |
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| 10 Jul 2016 01:01 AM |
tracked because I'm not going to remember that, but it seems interesting. :P
y-you too... |
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| 10 Jul 2016 01:05 AM |
| It's because of Eulers formula. e^(ia)=cos(a)+isin(a) but since quaternions are 4 dimensional it would be more like e^(na)=cos(a)+nsin(a) where n is the axis of rotation. So if you take ln(e^(na)) you just get na. And then taking e to the quaternion power is a bit trickier, but it's just the inverse. |
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wfvj014
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| Joined: 30 Apr 2012 |
| Total Posts: 145 |
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| 10 Jul 2016 01:14 AM |
| That also means there's a one-to-one map from the set of unit quaternions to R3. So, there are as many unit quaternions as there are vectors in R3. |
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