Is there a readymade symbol for a 90 degrees rotated \Bowtie?

Question

Where do I find a symbol that looks like a slightly smaller version of a 90 degrees rotated \Bowtie from the wasysym package?

Something like .

I couldn't find anything in the usual tables. The detexify site yields nothing close. I managed the following hack (which defines a binary operator):

\documentclass[12pt]{article}  
\usepackage{wasysym,graphicx}  
\newcommand{\uproduct}{\mathbin{\;{\rotatebox{90}{$\small\Bowtie$}}}}
\begin{document}  
$A \uproduct B$  
\end{document}

It produces . Although it looks OK here, it looks bad when used in a subscript. This is surely not the right solution. I'd well believe that a solution using metafont exists, but would prefer something less esoteric. Perhaps there is a standard symbols package that I overlooked?

---

**EDIT: Geoffrey and Aditya gave admirable solutions for creating this symbol (I'm sorry for previously calling them "hacks"). And Seamus found a font package.

Answer 1

\udtimes is defined in the mathdesign package

Answer 2

I think that judiciously combining \mathchoice, \rotatebox and scalebox should give you what you want:

\documentclass{article}
\usepackage{graphicx,wasysym}

\newcommand\uproduct{%
  \mathchoice{\mathbin{\;\rotatebox{90}{$\Bowtie$}}}%
             {\mathbin{\;\rotatebox{90}{$\Bowtie$}}}%
             {\mathbin{\;\rotatebox{90}{\scalebox{0.65}{$\Bowtie$}}}}%
             {\mathbin{\;\rotatebox{90}{\scalebox{0.65}{$\Bowtie$}}}}%
}

\begin{document}
  $A = B \uproduct C$, whereas $X_{B \uproduct C} > Y$
  \[
    A=\sum_{B \uproduct C}^{D \uproduct E}{F \uproduct G}
  \]
\end{document}

Of course, the spacing and the scaling are still up to you.

Answer 3

In modern TeX engines (XeTeX, LuaTeX), this symbol is avaiable with unicode-math as \hourglass:

\documentclass{article}
\usepackage{unicode-math}
\setmathfont{XITS Math}
\begin{document}
    \(A\hourglass B\)
\end{document}

Answer 4

Here is an attempt with slightly better spacing:

\makeatletter
\newcommand\douproduct[1]%
  {\mathbin
  {\m@th\leavevmode\raisebox{-0.03ex}
    {\vbox{\baselineskip\z@skip \lineskip-.2ex% =0.25*0.8
     \ialign{##\cr
     \rotatebox{90}{\scalebox{0.8}{$#1\triangleleft $}}\cr
     \rotatebox{90}{\scalebox{0.8}{$#1\triangleright$}}\cr}}}}}
\makeatother

\newcommand\uproduct{\mathpalette\douproduct\relax}

Answer 5

Try it with the \scalebox command for example:

\rotatebox{90}{\scalebox{0.5}{$\Bowtie$}}

The \scalebox can virtually scale anything.