Post by Gary on Aug 8, 2016 6:09:18 GMT
Vasco,
Here is a try at exercise 2. It's quite busy, but the question was complex. A couple of days later, I have realized that my response to the third part---the effect of $\mathcal{I}_K$ on $\mathfrak{R}_{\Pi}(a)$---is not right. I assumed that a had been rotated with the rotation of $\Pi$. I don't think that is required, but it makes the graphics easier, as it is harder to reflect a across an arbitrary plane $\Pi$ than it is to reflect it across $\mathbb{C}$ and then rotate both. I have now replaced the original with a revision.
nh.ch6.ex2.pdf (655.07 KB)
nh.ch6.ex2.preliminaries.pdf (555.34 KB)
Gary
Here is a try at exercise 2. It's quite busy, but the question was complex. A couple of days later, I have realized that my response to the third part---the effect of $\mathcal{I}_K$ on $\mathfrak{R}_{\Pi}(a)$---is not right. I assumed that a had been rotated with the rotation of $\Pi$. I don't think that is required, but it makes the graphics easier, as it is harder to reflect a across an arbitrary plane $\Pi$ than it is to reflect it across $\mathbb{C}$ and then rotate both. I have now replaced the original with a revision.
nh.ch6.ex2.pdf (655.07 KB)
nh.ch6.ex2.preliminaries.pdf (555.34 KB)
Gary
