Just for my understanding

x^ln(x)-c;
solve(%,x,allsolutions);
indets((%));
print("but here it does:");
indets(%[-1])
                            ln(x)    
                           x      - c

                           /   ln(_Z)    \
                     RootOf\-_Z       + c/

          /     ln(_Z)        /   ln(_Z)    \        \ 
         { c, _Z      , RootOf\-_Z       + c/, ln(_Z) }
          \                                          / 

                      "but here it does:"

                          {_Z, ln(_Z)}

I am a little overwhelmed by the possibilities of ColorTools.
Is there a graphical overview of implemented palettes side by side?

Currently, the argument is mapped to the HUE coloring scheme (I guess)

plots:-complexplot3d(z, z = -2 - 2*I .. 2 + 2*I, title = -ln(1/c) - ln(c), orientation = [-90, 0, 0])

This makes it difficult to distinguish the sign of the argument close to the positive real axis (just to give an example). To increase contrast I thought about alternatives: Linear ramping from 0 to 2pi from one color to another (similar to phase wrapped images) or a stepped color scheme (in pi/4 increments for example).

I tried color=argument(z/2/Pi) but this did work.

I am looking for something like that but in 3d.

My question is twofold:

- What, in general, are "good" ways to do this? I am surprised that I haven't found anything better than the Boing Ball. Patterns of billard balls might be an alternative if the balls are well oriented at the start of an animation/simulation.

- How can spheres be patterned in Maple? I looked at: plots,obsolete,sphereplot(deprecated), plottools,sphere, and plots,conformal and MaplePrimes for examples but did not find anything to build on. 

Patterns that might not be too complicated to implement:

• globe with meridians and chessboard pattern,
• ball with a punched belt,
• ball with 2 or 3 crossed belts
• ...

Any thoughts on this topic?

Update: Change of orientation of the angular velocity while the sphere is spinning is an important visualisation aspect. I added this to the title.

I was about to update an older discussion with the information that the context pannel now contains an entry "Normalized Expanded".

I only remember that I was participating with another user.

So, I tried C_R AND other_user in the search field. This gives an error.

A space as an implict AND operator does also not work.