# Math symbol similar to $\Pi$ but with crossed legs

I would like to realize a symbol that looks similar to a \Pi, but with its two legs crossed, like in an \mathrm{X}. In other words, I want the bar in \overline{\mathrm{X}} to be moved down just a little bit, placing it on top of the \mathrm{X}. Here is what I achieved so far, using code from Moving the bar on hbar:

\documentclass{article}
\usepackage{mathtools}
\usepackage{xparse}
\makeatletter
\newcommand{\raisemath}[1]{\mathpalette{\raisem@th{#1}}}
\newcommand{\raisem@th}[3]{\raisebox{#1}{$#2#3$}}
\makeatother
\NewDocumentCommand{\crossedPi}{}{
\ensuremath{\mathrlap{\raisemath{-1.6pt}{
\overline{\phantom{\mathrm{X}}}}}\mathrm{X}}}
\begin{document}
$\Pi \crossedPi$ \\
$\mathrm{Set}_{\Pi} \mathrm{Set}_{\crossedPi}$
\end{document}


The \crossedPi symbol in normal position looks just as I want it to look, but when the symbol is used in index position, as in \mathrm{Set}_{\crossedPi}, the bar gets out of place.

What would be the perfect professional way to realize this symbol in a robust way, so that nothing gets out of place when used in index position?

• I added the image of your output, mathjax does not run on this site (and would be very confusing for questions such as this one as its exact placement of over-printed symbols is unlikely to match that of tex) May 29 '18 at 22:04

\documentclass{article}
\usepackage{mathtools}

\makeatletter
\DeclareRobustCommand{\crossedPi}{%
{\mathpalette\loweroverline{\mathrm{X}}}%
}
\newcommand{\loweroverline}[2]{%
\sbox\z@{$\m@th#1#2$}%
\dimen@=0.8\fontdimen 8
\ifx#1\displaystyle\textfont\else
\ifx#1\textstyle\textfont\else
\ifx#1\scriptstyle\scriptfont\else
\scriptscriptfont\fi\fi\fi 3
\ooalign{%
\vrule width 0.95\wd\z@ height \ht\z@ depth \dimexpr \dimen@-\ht\z@\relax\cr
\hidewidth\box\z@\hidewidth\cr
}%
}
\makeatother
\begin{document}

$\Pi \crossedPi \Pi \scriptstyle \Pi\crossedPi\Pi$

$\mathrm{Set}_{\Pi} \mathrm{Set}_{\crossedPi}$

\end{document}


The thickness of the overline is a fraction of the thickness used for fractions in the corresponding style.

Different fonts will probably need different figures.

\documentclass{article}
\usepackage{stackengine,scalerel}
\newcommand\crosspi{\ThisStyle{\ensurestackMath{%
\stackengine{-.30pt}{\SavedStyle\mathrm{X}}{%
\rule{\dimexpr1.2\LMex+.3ex}{.31pt}\kern\dimexpr.2\LMpt+.1pt}{O}{c}{F}{F}{S}}}}
\begin{document}
$\Pi \crosspi \Pi \scriptstyle \Pi\crosspi\Pi$

$\mathrm{Set}_{\Pi} \mathrm{Set}_{\crosspi}$
\end{document}


As egreg pointed out, different fonts will need tuning on the parameters.