30 不使用插入图片，如何排出下面的效果？

下面我只做了一个样例，关于 $\pi$ 那个, 我觉得难点在于下寻找最小的可重复的 pattern。话不多说，上代码:

\documentclass{article}
\usepackage[margin=1cm, a1paper]{geometry}
\usepackage{xcolor}
\usepackage{graphicx}

\begin{document}
\ExplSyntaxOn
\newcommand\logo[1][black]{
  \textcolor{#1}{\scalebox{8}{\(\pi\)}}
}

\cs_set_nopar:Nn \newSetCof:nn {
  \coffin_if_exist:cF {l_tmp#1_coffin}
    {\coffin_new:c {l_tmp#1_coffin}}
  \hcoffin_set:cn {l_tmp#1_coffin}{#2}
}
\cs_set_nopar:Nn \useCof:n {
  \coffin_typeset:cnnnn {l_tmp#1_coffin} 
    {l} {b} {0pt} {0pt}
}

% set coffins
\newSetCof:nn {Ia}{\logo[red]}
\newSetCof:nn {Ib}{\logo[red]}
\newSetCof:nn {IIa}{\logo[blue]}
\newSetCof:nn {IIb}{\logo[blue]}


\centering
% 1. make the basic pattern I
\coffin_rotate:Nn \l_tmpIb_coffin {-90}
\coffin_join:NnnNnnnn \l_tmpIa_coffin {r} {t} 
                      \l_tmpIb_coffin {r} {b} 
                      {-8pt} {-19pt}
% 2. make the basic pattern II
\coffin_rotate:Nn \l_tmpIIb_coffin {-90}
\coffin_join:NnnNnnnn \l_tmpIIa_coffin {r} {t} 
                      \l_tmpIIb_coffin {r} {b} 
                      {-8pt} {-19pt}
% define these 2 basic component
\coffin_set_eq:NN \l_tmpa_coffin \l_tmpIa_coffin
\coffin_rotate:Nn \l_tmpIIa_coffin {180}
\coffin_set_eq:NN \l_tmpb_coffin \l_tmpIIa_coffin
\coffin_reset_poles:N \l_tmpa_coffin
\coffin_reset_poles:N \l_tmpb_coffin


% ==> join these 2 basic component
\coffin_new:N \l_tmp_before_coffin
\coffin_new:N \l_tmp_after_coffin
\coffin_set_eq:NN \l_tmp_before_coffin \l_tmpa_coffin
\coffin_set_eq:NN \l_tmp_after_coffin \l_tmpb_coffin
% 1: rotate aroud upper right corner ==> style I
\cs_set_nopar:Nn \__fisrt_repeat_pattern:nn {
  \coffin_reset_poles:N \l_tmp_before_coffin
  \coffin_join:NnnNnnnn \l_tmp_before_coffin {hc} {t} 
                        \l_tmp_after_coffin {hc} {b} 
                        {#1}{#2}
}

% 2: rotate aroud upper right corner ==> style II
\cs_set_nopar:Nn \__second_repeat_pattern:nn {
  \coffin_set_eq:NN \l_tmp_after_coffin \l_tmp_before_coffin
  \coffin_rotate:Nn \l_tmp_after_coffin {180}
  \coffin_reset_poles:N \l_tmp_before_coffin
  \coffin_join:NnnNnnnn \l_tmp_before_coffin {r} {t} 
                        \l_tmp_after_coffin {r} {t} 
                        {#1}{#2}
  \coffin_set_eq:NN \l_tmp_after_coffin \l_tmp_before_coffin
}


% ==> start repeat
\__fisrt_repeat_pattern:nn {8pt} {-21pt}
\__second_repeat_pattern:nn {-10pt} {-52pt}

\__fisrt_repeat_pattern:nn {10pt} {-45pt}
\__second_repeat_pattern:nn {-10pt} {-52pt}

\__fisrt_repeat_pattern:nn {30.5pt} {-160pt}
% \__second_repeat_pattern:nn {-10pt} {-52pt}
\useCof:n {_before}
\ExplSyntaxOff


\end{document}

想要达到平铺的效果，可能还需要把第三个 pattern 找到，然后再去平铺. 所给示例的编译效果如下: