using mathematica plots in LaTeX

Question

I would like to use plots created with Mathematica inside my LaTeX environment. Is it possible to plot the Mathematica code completely inside the LaTeX environment?

If it is not possible, does anyone know a good way to implement the Mathematica plots inside my .tex file?

The simplest way is a simple .png export and \includegraphics but the resolution of the picture is not satisfying.

\documentclass[a4paper,pagesize ,landscape, fontsize=5pt, fleqn]{scrartcl}

\usepackage[left=0.75cm,right=0.75cm, top=0.75cm, bottom=1cm]{geometry}
\usepackage{multicol}
\usepackage{amsmath, amsfonts, amssymb}
\usepackage{bbm}
\usepackage[svgnames,table,hyperref]{xcolor}
\usepackage{tikz}
\usepackage{array,multirow}
\usepackage[T1]{fontenc}
\usepackage{tabularx}

\pagestyle{plain}
\setlength{\columnsep}{30pt}
\setlength{\columnseprule}{0.4pt}

\begin{document}

\begin{multicols*}{3}

torus

\[\text{parametric: } \vec{r}(u, v) = \begin{pmatrix}(c + a\cos(v))\cos(u) \\ (c + a\cos(v))\sin(u) \\ a\sin(v) \end{pmatrix} \hspace{5mm} u, v \in[0, 2\pi)\]
\[\text{implicit: }\left(c - \sqrt{x^2 + y^2}\right)^2 + z^2 = a^2\]

%here should be the 3D plot.%

\end {multicols*}
\end{document} 

And this would be the parametric plot created with Mathematica

ParametricPlot3D[{(2 + Cos[v]) Cos[u], (2 + Cos[v]) Sin[u], Sin[v]}, {u, 0, 2*Pi}, {v, 0, 2*Pi}]

Answer 1

You simply save your Mathematica notebook as a Latex file. All the graphics will generate eps files. Then just add:

\usepackage{epstopdf}

You'll be able to use pdflatex.

Here's a useful link: http://reference.wolfram.com/language/howto/GenerateTeXWithTheWolframLanguage.html

Answer 2

1. AFAIK it is not possible to run Mathematica codes inside LaTeX.

2. Export the picture as PDF.

See the image below. You can do it easily with mouse.