Grasshopper

algorithmic modeling for Rhino

I already have this two surface with the same origin,one is the world xy plane,now I want two roate this world xy plane twice to lie in the same plane of the other plane,firstly i roate the world xy plane in the yz plane,and then roate the world xy plane in xz plane.
How can i get these two angle?
THX VERY MUCH!!!!

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Sounds like Tait-Bryan angles
Here is a def I made for this a while back.

I think the most common order is Yaw then Pitch then Roll,
but there are 6 choices

I attached 3 versions -

1 - Yaw,Pitch,Roll
2 - Pitch,Roll
3 - Roll,Pitch

I think the 3rd one is what you are after.
Attachments:
Actually, just looking at your post again I realised you might actually be looking for the angles in terms of extrinsic rotations, which is basically the same thing but backwards.
It is so cool.Thx again....
a little problem again..How about just yaw and pitch? Just like a robot arm....and how about the robot arm is horizonal?Infact what i want to do is assemble the mirrors which are fixed on the column useing something just like robot arm ,and there will be light come from one mirror to another....
Here is the GHx dif.
Thx again again...all my wishes..
Attachments:
Glad that helps.
Seems an interesting project, but I'm not entirely clear what is the intent in that definition.
Are the locations of the mirrors fixed but their orientation controlled by one robot for each mirror ?
Does the light source or target move?
I'm going away until new year now, but will be happy to take another look at this when I get back. 3D rotation and Robot control is a very challenging and interesting subject. I think I'm going to be involved in some projects using KUKA robots soon, so I'm interested to hear about any work on this interface of robotics and parametric design.
Thanks for your interest.
I want to use it in a fashion show.the mirrors are fixed by one robot each,infact it can't be called robot,much simpler...the light source or target are also fixed,but i have sever source andn target,just to make a chaotic visual effect.....
But the miror's location and rotation are reqiured very exact,it's a little hard for the workman....

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