This is an example for a Diagramm in Lyx, that works and that looks just fine.

\begin{CD}
A@>>>B\\
@a...@vvv\\
E@<<<D
\end{CD}

It produces a cycle from A over B over C to D.

What I want is a cycle from A over B to D and then again to A. I want a sort of 
triangle.

Is this possible in Lyx?

Regards,
iustifico

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