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A student of mine has cooked up a new graphical notation for computing with knots on surfaces. The trouble is, writing up his results is difficult due to his new notation. Is there a good "drawing tool" for mathematics that anyone can suggest?

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    I'm interested in both. Thanks for the comment, Martin!2012-05-23

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Asymptote.

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Inkscape is a good open source drawing package, and it integrates with LaTeX.

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I like to use the TikZ package in laTeX. It has a bit of a learning curve, but I like the fact that you don't have to call external graphics files when you compile the laTeX code. I used to use (and sometimes still use) Adobe Illustrator to create pdf files to incorporate into the tex code via an \includegraphics command.

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GeoGebra is nice tool that worth. I recomend using it.

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On unix or Mac environments try xfig. There are windows simulators. Picture environments can be used with LaTeX to draw, but they are a pain (we used this in "The Classical and Quantum 6j symbols"). We used xfig for both "Knotted Surfaces and Their Diagrams" and "Surfaces in 4-Space." Otherwise, get a good set of Rapidograph pens, some blue pencil, and lots of white-out.

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    I strongly recommend you check out [ipe](http://ipe7.sourceforge.net/) instead of Xfig. The interface is a bit different, but just as easy. The main advantage is its integration with LaTeX. A second advantage is its ability to snap to intersections or other constructs.2010-10-02
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LaTeX is a good way to write all mathematical formulas and graphical notations.

It is a lot more than that, but personnaly, I use it frequently only for that.

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There is also something called as TeXmacs which you might be interested in. As Xavier quote LaTeX is the best way to start.

In case you are in need of a drawing package i list the following 3 packages which are commonly used:

  • pstricks

  • PgfTikZ

  • Gnuplot

Please google the names and you shall find lot of interesting things.

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I often use both LaTeX and GeoGebra. They are my favourites these days...