I wonder how beautiful it would be, if we could draw the trace determinant diagram with TikZ
or any other package on LaTeX.
Image source
Edited: Here is my MWE:
\documentclass[10pt]{article}
\usepackage{pgf,tikz}
\usetikzlibrary{arrows}
\usepackage{mathrsfs}
\usepackage{amssymb,fancyhdr,txfonts,pxfonts}
\pagestyle{empty}
\begin{document}
\begin{tikzpicture}[%
line cap=round,
line join=round,
>=triangle 45,
x=1.0cm,
y=1.0cm%
]
\clip(-5.8,-3.58) rectangle (5.56,5.64);
\draw [line width=1.2pt] (0.,4.68)-- (0.,-0.74);
\draw [line width=1.2pt] (-4.,0.)-- (4.3,0.);
\draw [thick, domain=-2:2] plot (\x, {\x*\x});
\draw (3.62,-0.12) node[anchor=north west] {$\mbox{tr}$};
\draw (0.18,4.78) node[anchor=north west] {$\Delta$};
\draw(0.,2.88) circle (0.3255764119219941cm);
\draw(0.,2.88) circle (0.4833218389437828cm);
\draw(0.,2.88) circle (0.6403124237432849cm);
\draw (1.,-1.)-- (-1.,-3.);
\draw (-1.,-1.)-- (1.,-3.);
\draw [dash pattern=on 2pt off 2pt] (-1.,-2.)-- (1.,-2.);
\draw [dash pattern=on 2pt off 2pt] (0.,-1.)-- (0.,-3.);
\end{tikzpicture}
\end{document}
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