Creating 3D Graphs in Math Textbooks - Tips & Advice

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The discussion centers on the tools used by writers and publishers to create graphs in textbooks, specifically 3D graphs. A participant seeks guidance on creating basic 3D graphs, similar to an attached example, and mentions difficulty in the process. Suggestions include using Asymptote, a free software compatible with LaTeX, which allows for dynamic linking of text labels to graphical elements, ensuring automatic updates when points are moved. Asymptote is noted to be based on MetaPost, another graphics tool that integrates well with LaTeX. In addition, Inkscape is recommended as a vector graphics program suitable for creating diagrams. Other software options mentioned are OriginLab and SigmaPlot, which are also used for graphing purposes.
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Does anyone know which program writers and publishers use to create graphs in textbooks (see attachement for example)? I'm trying to create a basic 3D graph like the one in the attachment, but can't seem to figure it out. To give you an idea, I'm trying to begin by graphing simple circles in a specific plane (z).

Any help / guidance is greatly appreciated.
 

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I would guess they have professional digital media people create them as normal pictures. Someone who really knows what they're doing can get something like that in 5-10 minutes.
 
If you want free software that is compatible with LaTeX, look at
http://asymptote.sourceforge.net
The advantage of this is that the text in labels etc can be linked to the actual drawing, so if you decide to move a point from x = 2 to x = 3, the relevant labels will automatically move to the correct positions and the text in the labels will automatically update.

Asymptote is based on an earlier 2D package
http://en.wikipedia.org/wiki/MetaPost
(but the user interface is very diifferent form MetaPost)

MetaPost was derived from MetaFont, which Knuth wrote to create the original fonts for TeX.

If you have LaTeX, you probably already have MetaPost.
 
You could also try http://inkscape.org/" ).
They're both vector graphics programs that can play nicely with latex.
I've used them both for making diagrams for lecture notes.
 
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OriginLab and Sigma plot are two options.
 
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