darn rz

Just when I thought I had the Partiview angles all figured out, I find that I can't just set Rz to a constant.

Here are some values I know are correct. They are for when the camera is at 0 0 0, and you are looking at a b c, and you need rx ry rz. The rx ry here are calculated using partiviewangles.m and the rz are computed manually (i.e. we want a rule giving rz) and are therefore approximate.

    a    b    c   rx        ry        rz
------------------------------------------
    1    0    0    0       -90       -90  
   -1    0    0    0        90        90  
    0    1    0   90         0         0  
    0   -1    0  -90         0       180  
    1    1    0   45       -90       -90  
    1    2    0   63.4349  -90       -90  
   -1    2    0   63.4349   90        90  
    1   -2    0  -63.4349  -90       -90  
   -1   -2    0  -63.4349   90        90  
   -1    2    3  147.6885  -18.4349  -32  
    1   -2    3 -147.6885   18.4349  148  
   -1   -2    3 -147.6885  -18.4349 -148  
    1    2   -3   32.3115  -18.4349  -32  
   -1    2   -3   32.3115   18.4349   32  
    1   -2   -3  -32.3115  -18.4349 -148  
   -1   -2   -3  -32.3115   18.4349  148  
    1    2    3  147.6885   18.4349   32  
    1    3    2  126.6992   26.5651   32  
    2    3    1  126.6992   63.4349   68  
    2    1    3  164.4986   33.6901   68  
    3    2    1  147.6885   71.5651   80  
   10    1    2  174.3996   78.6901   90  
    4    1    2  167.3956   63.4349   84  
    3    1    2  164.4986   56.3099   80  
  2.5    1    2  162.6539   51.3402   76  
    2    1    2  160.5288   45        71  
  1.5    1    2  158.1986   36.8699   64  
    1    1    2  155.9052   26.5651   50  
  0.5    1    2  154.1233   14.0362   30  
    0    1    2  153.4349    0         0  

There was lots of leftover beer from one of yesterday's night talks - we helped ourselves to some of it, and now our fridges are filled.

Other discoveries: coconut-heavy thai curry must be eaten in moderation.