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I'm trying to draw a graph in TikZ that has self-loops, and I'd like to be able to specify their position not only as "right" or "above", but something like "above right", i.e. at a 45° angle.

How do I do that?

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Welcome to TeX.SE! – ℝaphink Jun 8 '11 at 15:12
    
Welcome! Not sure if I understand you correctly, but are you looking for something like that shown in the first example of section 51.4, "Loops", of the PGF (v. 2.10) manual? (\node [circle,draw] {a} edge [in=30,out=60,loop] ();) – Torbjørn T. Jun 8 '11 at 15:25
    
That's it! Many thanks @torbjorn-t! – Anto Jun 8 '11 at 15:32
    
No problem. I added it as an answer as well. – Torbjørn T. Jun 8 '11 at 15:34

There is an example in the pgf/TikZ manual (for pgf v.3.0.0 dated December 20 2013, section 70.4 Loops) that demonstrates this:

\documentclass{article}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}
\node [circle,draw] {a} edge [in=30,out=60,loop] ();
\end{tikzpicture}
\end{document}

enter image description here

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