4

I would like to have a symbol that is similar to a w ou a omega, and I want it to be made from the infinity symbol \infty by 'erasing' the top part of it. I would prefer to trim out only the "upper v" part of the infinity symbol, as to have the new symbol resemble more an omega.

  • 5
    Why do you want this? – mrf Jan 23 at 21:32
  • @mrf I wish to use it as the omega of ordinal numbers and so I want it to resemble the traditional infinity symbol. – Pedro G. Mattos Jan 23 at 21:34
  • 16
    There is a reason that notation is more or less standardized. If you mean the first infinite ordinal, just use $\omega$, otherwise your readers will be needlessly confused. – mrf Jan 23 at 21:37
  • That is what Newton told Leibniz haha – Pedro G. Mattos Jan 23 at 22:59
  • What is your symbol meant to represent? – user76284 Jan 24 at 21:20
13

Based on the original guidance to trim the upper part, one can adjust the .4\LMex clipping amount to suit the desired look.

\documentclass{article}
\usepackage{trimclip,scalerel}
\newcommand\altinfty{\ThisStyle{\clipbox{0pt 0pt 0pt .4\LMex}{$\SavedStyle\infty$}}}
\begin{document}
$\lim x \rightarrow \altinfty$

$\scriptstyle\lim x \rightarrow \altinfty$

$\scriptscriptstyle\lim x \rightarrow \altinfty$
\end{document} 

enter image description here

ADDENDUM

Based on a comment by the OP, an alternative, rather than clipping, is to overlay a strategically placed white rectangle:

\documentclass{article}
\usepackage{xcolor,stackengine,scalerel}
\newcommand\altinfty{\ThisStyle{\stackinset{c}{-.1pt}{t}{-.08\LMex}
  {\textcolor{white}{\rule{1.5\LMex}{.6\LMex}}}{$\SavedStyle\infty$}}}
\begin{document}
$\lim x \rightarrow \altinfty$

$\scriptstyle\lim x \rightarrow \altinfty$

$\scriptscriptstyle\lim x \rightarrow \altinfty$
\end{document} 

enter image description here

  • Maybe you should cut it even more to make it more like omega. +1 – Sebastiano Jan 23 at 20:20
  • 1
    @Sebastiano OK, I upped it to .4. – Steven B. Segletes Jan 23 at 20:21
  • Thanks, this looks good. Is it possible to only trim out the "upper V", so that it looks more like an omega? I wish to use it as the omega of ordinals and the resemblance with the traditional infinity symbol is on purpose. – Pedro G. Mattos Jan 23 at 20:30
  • 11
    I think this should be called the Moustache operator (+1). – Marijn Jan 23 at 21:48
  • 5
    +1 (as always ;-)) for the realization, but as a theoretical physicist I must say that no one will ever understand what this means :-( – campa Jan 23 at 21:54
13

Clip three copies of \infty and superimpose them to each other.

\documentclass{article}
\usepackage{trimclip}

\makeatletter
\DeclareRobustCommand{\badomega}{\mathord{\mathpalette\bad@omega\infty}}
\newcommand{\bad@omega}[2]{%
  \ooalign{%
    \clipbox{0pt 0pt {0.75\width} {0.2\height}}{$\m@th#1#2$}\hidewidth\cr
    \hidewidth\clipbox{{0.75\width} 0pt 0pt {0.2\height}}{$\m@th#1#2$}\cr
    \clipbox{0pt {-0.05\height} 0pt {0.55\height}}{$\m@th#1#2$}\cr
  }%
}

\begin{document}

$\badomega\scriptstyle\badomega\scriptscriptstyle\badomega$

\end{document}

enter image description here

This will work also over a colored background.

enter image description here

  • 2
    Very beautiful all answers that I have much appreciated. They look like the mustaches :-) – Sebastiano Jan 23 at 22:12
  • Thanks, this is really useful since I want it to work over a background of any color. – Pedro G. Mattos Jan 23 at 22:16

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