Rotate vertically, sometimes yes, sometimes not

*To*: mathgroup at smc.vnet.net*Subject*: [mg91673] Rotate vertically, sometimes yes, sometimes not*From*: "E. Martin-Serrano" <eMartinSerrano at telefonica.net>*Date*: Wed, 3 Sep 2008 06:46:51 -0400 (EDT)

Hi, Thanks to Wolfram for the info about Manipulate. Seems they sent to me all what they have. Thanks again. Now, please, Find in the Documentation Center the entry Interacting with 3D Graphics and go to the section Rotate About the Axis Perpendicular to the Screen. There one can read: You can also rotate 3D objects about the axis perpendicular to the screen with your mouse., and Move the pointer to a corner of the display area of the 3D graphic., and The pointer changes to the 3D vertical rotate pointer., and then Click and move the pointer clockwise or counterclockwise. OK. If you do that on the graphics3D object generated by p3d = Plot3D[Sin[x = y],{x,0,3},{y,0,3},ColorFunction->"Rainbow",Mesh->None] , the pointer does not change to the 3D vertical rotate pointer, but it remains as the 3D rotate pointer instead. If one performs FullGraphics[p3d]//InputForm One gets the following at the bottom of the output: Method -> {"RotationControl" -> "Globe"} This seems to be a non documented option/feature or whatever; since neither Method -> {"RotationControl" -> "Globe"} nor 1) "RotationControl" are in the Documentation Center; and sounds as if it were the reason why the pointer does not change to 3D vertical rotate pointer, but remains as the 3D rotate pointer instead. First side (intended) effect is that Plot3D objects cannot be rotated in this way. Why not? 2) Other side effect, if several different 3D graphics are merged with Show, the whole picture does not rotate vertically if one does not take special care in the order given to the parameters in Show and one with Method -> {"RotationControl" -> "Globe"} happens to be in the first position, then nothing works as wanted. Anyway one has to know advance in whether the option Method -> {"RotationControl" -> "Globe"} was or not there and what its meaning is. In any case this is a strong restriction for Show because the order of the parameters matters a lot. Apart form the fact that one must necessarily dive into the inner and detailed data of the object just to guess what is going on, it contradicts the general statement You can also rotate 3D objects about the axis perpendicular to the screen with your mouse, since, there is at least one exception and it should have been documented. Besides, I am not sure whether it is the actual reason why that 3D plot does not rotate about the axis perpendicular to the screen. Of course, <<Method -> {"RotationControl" -> "Globe"}>> has been generated by Mathematica. So it is the default setting. Can it be overridden? By the way, this drawback (?) can be avoided by using the Prestantions package by David Park. Draw3DItems[ Draw3D[Sin[x y],{x,0,3},{y,0,3},ColorFunction->"Rainbow",Mesh->None ]] works perfect, as expected. While Show[Plot3D[Sin[x y],{x,0,3},{y,0,3},ColorFunction->"Rainbow",Mesh->None ]] does not work either. Any help? E. MartEDn-Serrano