Observe the non-commutative order M*rot [2D & 3D]
I don't like the rotation of the sphere ... welcome to doctor it !
Don't miss Paul W. rotate RGB image [far superior to Mathcad IMPROC !].
This compendium includes the 3 most used rotation system:

1. Euler [Roll, Pitch, Yaw]
2. Parametric [x,y,z,"t"]
3. Quaternion

Jean

Rotate KleinButtle.sm (17.23 KiB) downloaded 1204 time(s).
Rotate Horn.sm (15.91 KiB) downloaded 1206 time(s).
Rotate Meduse.sm (15.52 KiB) downloaded 1234 time(s).
Rotate Parametric [t, xyz].sm (12.15 KiB) downloaded 995 time(s).
Rotate Breather [Quaternion].sm (268.5 KiB) downloaded 1050 time(s).


Rotate Image RGB.sm (348.63 KiB) downloaded 1234 time(s).
Rotate Breather Water Mill.sm (998.24 KiB) downloaded 1311 time(s).
Rotate Breather [4 Orientations].sm (1000.43 KiB) downloaded 1041 time(s).
Rotate Sphere.sm (1.67 MiB) downloaded 1283 time(s).

For expressiveness, I sometimes change the foreshortening


Rotate Breather Water MillMod.sm (1002.46 KiB) downloaded 1294 time(s).

... earth rotate, doctored.

Rotate Sphere Poles.sm (14.24 KiB) downloaded 1241 time(s).

Hello Ber7 !

I can see what you are trying to do ... let me find "Wind Mill" equations,
if they exist ?

Cheers, Jean

... here is the Strumpf wind mill

Rotate Trifolium.sm (19.11 KiB) downloaded 1230 time(s).