Dear Joel,
 
thank you for your answer!
 
My answer has now taken a little longer because I have now considered my questions very carefully.
 
The SW should be able to do the following:
  1. Dimetric view (= general axonometry). Their shortening ratios are x: y: z = 1: 2: 2. The x-axis runs diagonally down to the left, the y-axis is inclined slightly to the right, the z-axis runs vertically. The result is very clear spatial bodies! In the TikZ manual, however, only military projections are shown where the y-axis is horizontal. This representation looks awkward.
     
  2. simple coordinate input (x, y, z)
     
  3. Mathematical equations for the body outline
     
  4. beautiful views (I like the graphics for the article you are linking to.)
 
I want to draw this with the SW:
  • Tripod with the coordinates of a point
  • standing rotating cylinder
  • two rotating cylinders that intersect each other
  • Double cone
  • Double cone including the cutting plane that cuts a hyperbola out of the cone
  • single- and double-shell hyperboloid
  • elliptical paraboloid
  • inclined planes
  • a cube with a space diagonal
  • a sketch for total differential and particulate derivatives
  • a straight line in three-dimensional space.
 
In total, that's about 20 drawings.
 
I've done a lot of research:
 
  • GeoGebra can do 1-3, but does not give good results (4).
     
  • Blender is very nice (4), but I can't do 1-3. And the familiarization with Blender is gigantic. Are there shortcuts?
     
  • TikZ doesn't seem to be able to do 1 and 3, but is otherwise very nice (4). I just don't know my way around 2, the syntax in the manual is quite confusing. I have the impression that TikZ only pursues a two-dimensional concept here, in which everything has to be calculated in a laborious manner. Or is the syntax for 3D graphics - without a TikZ editor - described somewhere - simply? (I have already created over 60 2D graphics with PGF / TikZ. And without an editor, but directly in the associated syntax with the help of the TikZ manual and by trial and error. I have had some practice with that.)

    But maybe there are packages for that ...?
     
  • The TikZ editor needs Python. I have not installed that on myself. I have no experience with that either. Is that easy or does it create a huge number of problems?
 
(Additional question: do my specifications 1-4 restrict the sheer unmanageable variety of SW? Mathcha, TikZiT, TikzEdt, Tikzcd, KtikZ, ImageMagick, R, knitR, Asamptote, Inkscape, MatheGrafix, MathematikAlpha, MathProf, MathType, PST-Solides3d, Sage, TpX TeX Drawing Tool, Sketch, 3DLDF, ...)
 
Greetings
Andreas
 
Gesendet: Freitag, 26. März 2021 um 22:51 Uhr
Von: "Joel Kulesza" <jkule...@gmail.com>
An: "Andreas Plihal" <a.pli...@gmx.at>
Cc: "mailing lyx" <lyx-users@lists.lyx.org>
Betreff: Re: 3D graphics for LYX
On Fri, Mar 26, 2021 at 8:06 AM Andreas Plihal <a.pli...@gmx.at> wrote:
With which tool is it possible to produce professional 3D graphics in the context of LYX? Can a software such as tikzpicture be used for this? And if so, how?
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Andreas,
 
I regularly use TikZ for (3-D) graphics in LyX.  Unfortunately, there is no built-in editor, so I tend to create the images in TikZ Editor (or just my favorite text editor), save the .tex file, and then use Insert -> Child Document -> Input.  
 
Many of the images for this article took the aforementioned approach when preparing the manuscript in LyX.
 
Hope this helps,
Joel
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