%%
%% The LaTeX Companion, 3ed
%%
%% Example 8-4-22 on page I-625 in "Formatting and text changes based on verso/recto pages".
%%
%% Copyright (C) 2022 Frank Mittelbach
%%
%% It may be distributed and/or modified under the conditions
%% of the LaTeX Project Public License, either version 1.3c
%% of this license or (at your option) any later version.
%%
%% See https://www.latex-project.org/lppl.txt for details.
%%

\documentclass{tlc3exa}
\pagestyle{empty}
\setcounter{page}{6}
\setlength\textwidth{81.00082pt}

  \pagestyle{origplain} %plain in this class
  \setlength\footskip{20pt}
  \setlength\textheight{10\baselineskip}

  \tolerance=4000

% manually adjust size as example is set in small type
  \renewcommand\thepage{{\footnotesize\arabic{page}}}

%StartShownPreambleCommands
\usepackage{kantlipsum,tcolorbox}
\tcbuselibrary{skins}
\newtcolorbox{exa}[1]{beamer,bottom=0mm,title=#1,%
   if odd page={attach boxed title to top right
      ={xshift=-2mm,yshift=-3mm,yshifttext=-1mm}}%
               {attach boxed title to top left
      ={xshift=2mm,yshift=-3mm,yshifttext=-1mm}}}
%StopShownPreambleCommands

\begin{document}
\footnotesize
\kant[2][1] \begin{exa}{Example}
  \tcbifoddpage{odd}{even} example \end{exa}
\kant[6][1] \begin{exa}{Another}
  \tcbifoddpage{odd}{even} example \end{exa}
\kant[10]
\end{document}