The following example uses \uparrow as base unit, because the arrow reaches from the bottom to the top of the bounding box without interfering side bearings.
Macro \@leftuparrow takes three arguments with values 0 and 1 each to denote the left, northwest, and up arrow component of the total symbol.
As the examples show, a font for the up arrow should be used, where the tip is not too broad.
\documentclass{article} \usepackage{amsmath} %\usepackage{MnSymbol} %\usepackage{mathabx} \usepackage{graphicx} \makeatletter \newcommand*{\leftuparrow}{% \@leftuparrow101% } \newcommand*{\loweredleftarrow}{\@leftuparrow100} \newcommand*{\leftnwarrow}{\@leftuparrow110} \newcommand*{\leftnwuparrow}{\@leftuparrow111} \newcommand*{\nwuparrow}{\@leftuparrow011} \newcommand*{\@leftuparrow}[3]{% \mathrel{% \mathpalette{\@@leftuparrow{#1}{#2}{#3}}{}% }% } \newcommand*{\@@leftuparrow}[5]{% % #1: left % #2: nw % #3: up % #4: math style % #5: unused \sbox0{$#4\uparrow\m@th$}% base unit % % Correction of depth to compensate line width \sbox6{$#4\mkern.25mu\m@th$}% \dimen@=\dp0 % \advance\dimen@ by -\wd6 % \dp0=\dimen@ % \sbox2{% \rotatebox[origin=b]{45}{\hbox to\z@{\hss\copy0\hss}}% }% \sbox4{% \rotatebox[origin=b]{90}{\copy0}% }% \dimen@=\z@ \dimen6=\z@ \ifnum#1#2>\z@ \kern4\wd6 % left side bearing \fi \ifnum#1=1 % leftarrow \copy4 % \dimen@=\wd4 % \dimen6=\wd6 % \fi \ifnum#2=1 % nwarrow \ifdim\dimen@>\z@ \llap{\copy2}% \else \copy2 % \dimen@=\wd2 % \dimen6=.7071\wd6 % \fi \fi \ifnum#3=1 % uparrow \ifdim\dimen@>\z@ \kern-.5\wd0 % \fi {\uparrow}% \else \kern4\wd6 % right side bearing \fi \kern\dimen6 % } \makeatother \begin{document} \newcommand*{\test}{% \loweredleftarrow \leftnwarrow \leftnwuparrow \leftuparrow \nwuparrow \uparrow } \setlength{\fboxsep}{0pt}% \setlength{\fboxrule}{.1pt}% \begin{gather*} \fbox{$\leftarrow$} \fbox{$\uparrow$} \fbox{$\nwarrow$} \\ \fbox{$\loweredleftarrow$} \fbox{$\leftnwarrow$} \fbox{$\leftnwuparrow$} \fbox{$\leftuparrow$} \fbox{$\nwuparrow$} \\ \test\\ \scriptstyle\test\\ \scriptscriptstyle\test \end{gather*} \end{document}
Result for Computer Modern fonts:

Result for MnSymbol:

Result for mathabx:
