@torabi No other mathematical possibilities to obtain the dependence p1 and q1 with respect to sigma. Only if magically ...

@vv  Wow. The Maple13 too runs 

@Christopher2222 Rather, something with work mapleprimes, not Maple. While experimenting with replacements avatar, animations all disappeared.

@Christopher2222  Animations from Maple normally works everywhere, but they are usually very large and does not fit, for example, for avatar. Therefore, we are talking about additional programs.

@Carl Love The very first thing - is re-save the file in the "Easy GIF Animator" Then you can thin out frames (frames can be thinned out in the pre Maple)...

@Carl Love After making .gif file with Maple I always use "Easy GIF Animator". Super programm!

No, is to blame, this option avatar = 27.5kb 

@Carl Love  Yes, .gif, 50 frames. My file is very small - about 10.5-11kb.

@abhilashun   If there is a desire to take a look here
http://www.mapleprimes.com/questions/144358-How-To-Extract-All-Points-From-An-Implicitplot3d#answer144371

@vv Totally agree with you. This information is likely, for experts in the field of materials processing. I at one time had  some job in this direction, and now just do what I had not done before, because to my hands came colossal Maple opportunities.
If you are interested in something specific, I'll try to answer you.

        Now distance 2.0 in the first example, and round parameterization. Main is a great distance, so the equidistant surface of this form.

@vv  

        If “something”, then take a look here  http://www.mapleprimes.com/questions/203875-Parametrising-A-Surfacevolume#answer214656
I do not have the opportunity to engage in scientific work, but I can show the texts of programs. Excuse me.

@Christopher2222  Excuse me, but you know what equidistant and how it differs from the displacement?
                             There will be more examples:
                             2. Equidistant radius of 0.3 to the surface  x1^4+x2^4+x3^4-1=0

@Carl Love   Firstly, thank you for the correct spelling of "Draghilev", and secondly, thank you for your understanding.
      Yes, it could be nice. Only I cannot do it for many reasons. But think fully I can to help enthusiasts to do it.

@Carl Love  It turns out that not only.