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TikZ：骰子/多米诺骨牌面：循环和外观

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TikZ：骰子/多米诺骨牌面：循环和外观

我最近偶然发现了一个简短的讨论的 Schwenk 骰子，并认为用它制作骰子会很有趣TikZ。我发现tiz图片最多 9 个点，并将代码调整为 16 个点。我没有多想就这么做了（见下文），但当我打字（很快）时，很明显代码很丑，而且字体也不那么漂亮。

对于如何为具有大量点和对称性的人脸编写更通用的代码，有什么建议吗？也就是说，循环和外观。

红色的面是从上面链接的 Andrew Swann 的代码中复制的。蓝色的面是从我家里的一些多米诺骨牌设计中复制的。绿色的面是当场制作的。

\documentclass{standalone}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{matrix}
\usetikzlibrary{shapes}
\tikzset{%
  dot hidden/.style={},
  line hidden/.style={},
  dot colour/.style={dot hidden/.append style={color=#1}},
  dot colour/.default=black,
  line colour/.style={line hidden/.append style={color=#1}},
  line colour/.default=black,
}%
\usepackage{xparse}
\NewDocumentCommand{\drawdie}{O{}m}{%
\begin{tikzpicture}[x=1cm,y=1cm,radius=0.06,#1]
\draw[rounded corners=1,line hidden] (0,0) rectangle (1,1);
\ifnum#2<10% "standard die"
  \ifodd#2
    \fill[dot hidden] (0.5,0.5) circle;% 1,3,5,7,9
  \fi
  \ifnum#2>1
    \fill[dot hidden] (0.15,0.15) circle;% 2
    \fill[dot hidden] (0.85,0.85) circle;% 3
    \ifnum#2>3
      \fill[dot hidden] (0.15,0.85) circle;% 4
      \fill[dot hidden] (0.85,0.15) circle;% 5
      \ifnum#2>5
        \fill[dot hidden] (0.85,0.5) circle;% 5
        \fill[dot hidden] (0.15,0.5) circle;% 6
        \ifnum#2>7
          \fill[dot hidden] (0.5,0.85) circle;% 7
          \fill[dot hidden] (0.5,0.15) circle;% 8
        \fi
      \fi
    \fi
  \fi
\fi
\ifnum#2>9% "extended die"
  \ifnum#2<13% 
    \fill[dot hidden] (0.15,0.15) circle;
    \fill[dot hidden] (0.15,0.85) circle;
    \fill[dot hidden] (0.85,0.15) circle;
    \fill[dot hidden] (0.85,0.85) circle;
    \fill[dot hidden] (0.15,0.38) circle;
    \fill[dot hidden] (0.15,0.61) circle;
    \fill[dot hidden] (0.85,0.38) circle;
    \fill[dot hidden] (0.85,0.61) circle;
    \ifodd#2
      \fill[dot hidden] (0.50,0.50) circle;
      \fill[dot hidden] (0.50,0.15) circle;
      \fill[dot hidden] (0.50,0.85) circle;
    \else
      \fill[dot hidden] (0.50,0.38) circle;
      \fill[dot hidden] (0.50,0.61) circle;
    \fi
    \ifnum#2>11
      \fill[dot hidden] (0.50,0.15) circle;
      \fill[dot hidden] (0.50,0.85) circle;
    \fi
  \else
    \fill[dot hidden] (0.15,0.15) circle;
    \fill[dot hidden] (0.15,0.85) circle;
    \fill[dot hidden] (0.85,0.15) circle;
    \fill[dot hidden] (0.85,0.85) circle;
    \fill[dot hidden] (0.15,0.38) circle;
    \fill[dot hidden] (0.15,0.61) circle;
    \fill[dot hidden] (0.85,0.38) circle;
    \fill[dot hidden] (0.85,0.61) circle;  
    \fill[dot hidden] (0.38,0.15) circle;
    \fill[dot hidden] (0.38,0.85) circle;
    \fill[dot hidden] (0.61,0.15) circle;
    \fill[dot hidden] (0.61,0.85) circle;
    \ifnum#2<14
      \fill[dot hidden] (0.50,0.50) circle; 
    \fi
    \ifnum#2>13
      \fill[dot hidden] (0.38,0.38) circle;
      \fill[dot hidden] (0.61,0.61) circle;
      \ifnum#2>14      
        \fill[dot hidden] (0.38,0.61) circle; 
        \ifnum#2>15
          \fill[dot hidden] (0.61,0.38) circle;
        \fi
      \fi
    \fi
  \fi
\fi
\end{tikzpicture}%
}%

\newcommand{\dieA}[1]{%
    \drawdie[color=black, line hidden/.append style={fill=red!70}]{#1}}

\newcommand{\dieB}[1]{%
    \drawdie[color=black, line hidden/.append style={fill=blue!50}]{#1}}

\newcommand{\dieC}[1]{%
    \drawdie[color=black, line hidden/.append style={fill=green!50}]{#1}}

\begin{document}
\begin{tikzpicture}
\matrix[matrix of nodes,nodes={rectangle,align=center}]{%
\dieA{1}   & \dieA{2}   & \dieA{3}   & \dieA{4} \\
\dieA{5}   & \dieA{6}   & \dieA{7}   & \dieA{8} \\
\dieA{9}   & \dieB{10} & \dieB{11} & \dieB{12} \\
\dieC{13} & \dieC{14} & \dieC{15} & \dieC{16} \\
};
\end{tikzpicture}
\end{document}

在此处输入图片描述

答案1

这是避免嵌套 s 的代码版本tikzpicture，其中还包含一些小的更改。我放置点的选择是否“更对称”可能取决于个人喜好。我还删除了shapes和 ，xcolor因为您没有使用它们。

\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{matrix}
\tikzset{%
  dot hidden/.style={},
  line hidden/.style={},
  dot colour/.style={dot hidden/.append style={color=#1}},
  dot colour/.default=black,
  line colour/.style={line hidden/.append style={color=#1}},
  line colour/.default=black,
}%
\usepackage{xparse}
\tikzset{pics/.cd,
dice/.style args={#1/#2}{code={
\draw[rounded corners=1,line hidden,#1] (0,0) rectangle (1,1);
\ifnum#2<10% "standard die"
  \ifodd#2
    \fill[dot hidden] (0.5,0.5) circle(1.5pt);% 1,3,5,7,9
  \fi
  \ifnum#2>1
    \fill[dot hidden] (0.15,0.15) circle(1.5pt);% 2
    \fill[dot hidden] (0.85,0.85) circle(1.5pt);% 3
    \ifnum#2>3
      \fill[dot hidden] (0.15,0.85) circle(1.5pt);% 4
      \fill[dot hidden] (0.85,0.15) circle(1.5pt);% 5
      \ifnum#2>5
        \fill[dot hidden] (0.85,0.5) circle(1.5pt);% 5
        \fill[dot hidden] (0.15,0.5) circle(1.5pt);% 6
        \ifnum#2>7
          \fill[dot hidden] (0.5,0.85) circle(1.5pt);% 7
          \fill[dot hidden] (0.5,0.15) circle(1.5pt);% 8
        \fi
      \fi
    \fi
  \fi
\fi
\ifnum#2>9% "extended die"
  \ifnum#2<13% 
    \fill[dot hidden] (0.15,0.15) circle(1.5pt);
    \fill[dot hidden] (0.15,0.85) circle(1.5pt);
    \fill[dot hidden] (0.85,0.15) circle(1.5pt);
    \fill[dot hidden] (0.85,0.85) circle(1.5pt);
    \fill[dot hidden] (0.15,0.38) circle(1.5pt);
    \fill[dot hidden] (0.15,0.61) circle(1.5pt);
    \fill[dot hidden] (0.85,0.38) circle(1.5pt);
    \fill[dot hidden] (0.85,0.61) circle(1.5pt);
    \ifodd#2
      \fill[dot hidden] (0.50,0.50) circle(1.5pt);
      \fill[dot hidden] (0.50,0.15) circle(1.5pt);
      \fill[dot hidden] (0.50,0.85) circle(1.5pt);
    \else
      \fill[dot hidden] (0.50,0.15) circle(1.5pt); %<-changed
      \fill[dot hidden] (0.50,0.85) circle(1.5pt); %<-changed
    \fi
    \ifnum#2>11
      \fill[dot hidden] (0.50,0.38) circle(1.5pt); 
      \fill[dot hidden] (0.50,0.61) circle(1.5pt); 
    \fi
  \else % here #2 > 12
    \fill[dot hidden] (0.15,0.15) circle(1.5pt);
    \fill[dot hidden] (0.15,0.85) circle(1.5pt);
    \fill[dot hidden] (0.85,0.15) circle(1.5pt);
    \fill[dot hidden] (0.85,0.85) circle(1.5pt);
    \fill[dot hidden] (0.15,0.38) circle(1.5pt);
    \fill[dot hidden] (0.15,0.61) circle(1.5pt);
    \fill[dot hidden] (0.85,0.38) circle(1.5pt);
    \fill[dot hidden] (0.85,0.61) circle(1.5pt);  
    \ifnum#2=14
      \fill[dot hidden] (0.38,0.27) circle(1.5pt);
      \fill[dot hidden] (0.61,0.27) circle(1.5pt);
      \fill[dot hidden] (0.38,0.50) circle(1.5pt);
      \fill[dot hidden] (0.61,0.50) circle(1.5pt);
      \fill[dot hidden] (0.38,0.73) circle(1.5pt);
      \fill[dot hidden] (0.61,0.73) circle(1.5pt);
    \else
      \fill[dot hidden] (0.38,0.15) circle(1.5pt);
      \fill[dot hidden] (0.38,0.85) circle(1.5pt);
      \fill[dot hidden] (0.61,0.15) circle(1.5pt);
      \fill[dot hidden] (0.61,0.85) circle(1.5pt);
    \fi
    \ifnum#2<14
      \fill[dot hidden] (0.50,0.50) circle(1.5pt); 
    \fi
    \ifnum#2>14
      \fill[dot hidden] (0.38,0.61) circle(1.5pt);
      \fill[dot hidden] (0.61,0.61) circle(1.5pt); 
      \ifnum#2=15      
        \fill[dot hidden] (0.5,0.38) circle(1.5pt);        
      \fi   
      \ifnum#2>15
          \fill[dot hidden] (0.38,0.38) circle(1.5pt);
          \fill[dot hidden] (0.61,0.38) circle(1.5pt);
      \fi
    \fi
  \fi
\fi}}
}%

\begin{document}
\begin{tikzpicture}[A/.style={fill=red!70},B/.style={fill=blue!50},
C/.style={fill=green!50}]
\matrix[column sep=3pt,row sep=4pt]{%
\pic {dice=A/1};   & \pic {dice=A/2};   & \pic {dice=A/3};   & \pic {dice=A/4}; \\
\pic {dice=A/5};   & \pic {dice=A/6};   & \pic {dice=A/7};   & \pic {dice=A/8}; \\
\pic {dice=A/9};   & \pic {dice=B/10}; & \pic {dice=B/11}; & \pic {dice=B/12}; \\
\pic {dice=C/13}; & \pic {dice=C/14}; & \pic {dice=C/15}; & \pic {dice=C/16}; \\
}; 
\end{tikzpicture}
\end{document}

在此处输入图片描述

答案2

遵循一些规则的选项，对于奇数，应该始终有一个中点，与单位不同的下一个奇数是偶数的数值加上中点的总和，从数字十开始，对是数字八的数值与数字对应缩放比例 0.5 的总和，例如10 = 8+2(scaled 0.5)，12=8+4(scaled 0.5)我重新定义了在定义绘图中绘制骰子的方式\dice[point_number][color]{coordinate}，使用像选择器这样的代码，然后使用测试绘图定义让每个骰子旋转以查看对称性......

结果：

在此处输入图片描述

梅威瑟：

\documentclass[tikz,border=15pt]{standalone}

\begin{document}
    \begin{tikzpicture}
    \def\dice[#1][#2]#3#4{
        \begin{scope}[shift={(#3)},rotate=#4]
        \draw[rounded corners,fill=#2,thick](-1,1) rectangle (1,-1);
        \foreach \dice [count=\n from 1] in {
            {0/0},%1
            {45/1,-135/1},%2
            {0/0,45/1,-135/1},%3 = 2 + 1
            {45/1,135/1,-45/1,-135/1},%4 
            {0/0,45/1,135/1,-45/1,-135/1},%5 = 4+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707},%6 
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707},%7= 6+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707},%8
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707},%9 = 8+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,-135/0.5},%10 = 8+2(red 0.5)
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,-135/0.5},%11 = 10+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5},%12=8+4(red 0.5)
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5},%13
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5,0/0.353,180/0.353},%14=8+6(red 0.5)
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5,0/0.353,180/0.353},%15=14+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5,0/0.353,180/0.353,90/0.353,270/0.353},%16=8+8(red 0.5)
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5,0/0.353,180/0.353,90/0.353,270/0.353}%17=16+1
        } {
            \ifnum#1=\n 
                \foreach \k/\r in \dice {\draw[fill](\k:\r) circle (3pt);}
            \fi
        }
        \end{scope}
    }

    \def\test[#1][#2]#3{
        \begin{scope}[shift={(#3)}]
            \node[font=\sf\Huge,scale=2] at (-2,0) {#1}; 
            \dice[#1][#2]{0,0}{0}
            \dice[#1][#2]{2.2,0}{90}
            \dice[#1][#2]{4.4,0}{180}
            \dice[#1][#2]{6.6,0}{270}
        \end{scope} 
    }

    \foreach \a [count=\b] in {1,...,8}{
        \test[\a][red]{0,2.2*\b}
    }

    \foreach \a [count=\b] in {9,...,17}{
        \ifnum\a<10
            \test[\a][red]{10.8,2.2*\b}
        \else   
            \ifnum\a<13
            \test[\a][blue!50]{10.8,2.2*\b}
            \else   
            \test[\a][green!50]{10.8,2.2*\b}
            \fi
        \fi
    }

    \end{tikzpicture}
\end{document}

附录：

只是为了好玩...修改以获得多米诺骨牌面、新定义\domino[side1_number][side2_number][color]{position}，然后 foreach 代码生成可能的组合和一些条件以将结果按 17 个组排序。

结果：

在此处输入图片描述 梅威瑟：

\documentclass[tikz,border=15pt]{standalone}

\begin{document}
    \begin{tikzpicture}
    \def\dice[#1][#2]#3#4{
        \begin{scope}[shift={(#3)},rotate=#4]
        \foreach \dice [count=\n from 1] in {
            {0/0},%1
            {45/1,-135/1},%2
            {0/0,45/1,-135/1},%3 = 2 + 1
            {45/1,135/1,-45/1,-135/1},%4 
            {0/0,45/1,135/1,-45/1,-135/1},%5 = 4+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707},%6 
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707},%7= 6+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707},%8
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707},%9 = 8+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,-135/0.5},%10 = 8+2(red 0.5)
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,-135/0.5},%11 = 10+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5},%12=8+4(red 0.5)
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5},%13
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5,0/0.353,180/0.353},%14=8+6(red 0.5)
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5,0/0.353,180/0.353},%15=14+1
            {45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5,0/0.353,180/0.353,90/0.353,270/0.353},%16=8+8(red 0.5)
            {0/0,45/1,135/1,-45/1,-135/1,0/0.707,180/0.707,90/0.707,270/0.707,45/0.5,135/0.5,-45/0.5,-135/0.5,0/0.353,180/0.353,90/0.353,270/0.353}%17=16+1
        } {
            \ifnum#1=\n 
                \foreach \k/\r in \dice {\draw[fill,#2](\k:\r) circle (3pt);}
            \fi
        }
        \end{scope}
    }

    \def\domino[#1][#2][#3]#4{
        \begin{scope}[shift={(#4)}]
        \draw[line width=1.5pt,rounded corners,top color=black!10] (-1,1) rectangle (1,-3.4);
        \dice[#1][#3!30!red]{0,0}{0}
        \dice[#2][#3!30!green]{0,-2.2}{0}
        \draw[fill] (0.8,-1) rectangle (-0.8,-1.2);
        \end{scope}
    }
    \edef\Shiftx{0}
    \edef\Shifty{0}
    \foreach \k in {0,...,16}{
        \foreach \l in {\k,...,16}{
            \domino[\l][\k][blue]{2.2*\Shiftx,5.5*\Shifty}
            \ifnum\Shiftx>15
                \pgfmathparse{int(\Shifty+1)}
                \xdef\Shifty{\pgfmathresult}
                \xdef\Shiftx{0} 
            \else
                \pgfmathparse{int(\Shiftx+1)}
                \xdef\Shiftx{\pgfmathresult}
            \fi
        }
    }
    \end{tikzpicture}
\end{document}

答案3

没有tikz。相反，我只是堆叠$\bullet$位图。可以设置图块大小和相对点大小。

帮助解释这些胡言乱语：

1-9 设置在 3x3 网格上，10-12 [基本上] 设置在 4x3 网格上，13-16 [基本上] 设置在 4x4 网格上。然而，11 和 13 打破了规则，以半步为单位。

在网格布局中，\q是一个点，\z是一个空格，-是一个换行符。对于半步例外，\Q是一个向上移动半个单元格的点，\QQ是一个向上移动半个单元格的点，占据双倍宽度单元格。

通过增大，点会相对变小\domwd，反之亦然。脸部的实际呈现大小由 给出\domsz。背景颜色用 设定\domcolor。

\documentclass{article}
\usepackage{stackengine,scalerel,xcolor}
\newcommand\domsz{1cm}
\newcommand\domwd{23pt}
\newcommand\domcolor{white}
\newcommand\domsq{\fboxsep=0pt\fbox{\textcolor{\domcolor}{\rule{\domwd}{\domwd}}}}
\setstackEOL{-}
\newlength\dotwd
\newlength\dotht
\newcommand\q{\makebox[\dotwd]{$\bullet$}}
\newcommand\z{\makebox[\dotwd]{\phantom{$\bullet$}}}
\newcommand\Q{\raisebox{.5\dotht}{\q}}
\newcommand\QQ{\makebox[2\dotwd]{\raisebox{.5\dotht}{\q}}}
\newcommand\scaledom[2][9]{%
  \ifnum#1<13\relax%
    \setlength\dotwd{.3333\dimexpr\domwd}%
  \else
    \setlength\dotwd{.25\dimexpr\domwd}%
  \fi
  \ifnum#1<10\relax%
    \setlength\dotht{.3333\dimexpr\domwd}%
  \else
    \setlength\dotht{.25\dimexpr\domwd}%
  \fi
  \setstackgap{L}{\the\dotht}%
  \savestack\tmpbox{\stackinset{c}{}{c}{-.1ex}{\Longstack{#2}}{\domsq}}%
  \scaleto{\tmpbox}{\domsz}%
}
\newcommand\dom[1]{\csname dom#1\endcsname}
\expandafter\def\csname dom1\endcsname{\scaledom{\z\z\z-\z\q\z-\z\z\z}}
\expandafter\def\csname dom2\endcsname{\scaledom{\z\z\q-\z\z\z-\q\z\z}}
\expandafter\def\csname dom3\endcsname{\scaledom{\z\z\q-\z\q\z-\q\z\z}}
\expandafter\def\csname dom4\endcsname{\scaledom{\q\z\q-\z\z\z-\q\z\q}}
\expandafter\def\csname dom5\endcsname{\scaledom{\q\z\q-\z\q\z-\q\z\q}}
\expandafter\def\csname dom6\endcsname{\scaledom{\q\z\q-\q\z\q-\q\z\q}}
\expandafter\def\csname dom7\endcsname{\scaledom{\q\z\q-\q\q\q-\q\z\q}}
\expandafter\def\csname dom8\endcsname{\scaledom{\q\q\q-\q\z\q-\q\q\q}}
\expandafter\def\csname dom9\endcsname{\scaledom{\q\q\q-\q\q\q-\q\q\q}}
\expandafter\def\csname dom10\endcsname{%
  \scaledom[10]{\q\z\q-\q\q\q-\q\q\q-\q\z\q}}
\expandafter\def\csname dom11\endcsname{%
  \scaledom[10]{\q\q\q-\q\z\q-\q\Q\q-\q\q\q}}
\expandafter\def\csname dom12\endcsname{%
  \scaledom[12]{\q\q\q-\q\q\q-\q\q\q-\q\q\q}}
\expandafter\def\csname dom13\endcsname{%
  \scaledom[13]{\q\q\q\q-\q\z\z\q-\q\QQ \q-\q\q\q\q}}
\expandafter\def\csname dom14\endcsname{%
  \scaledom[14]{\q\q\q\q-\q\z\q\q-\q\q\z\q-\q\q\q\q}}
\expandafter\def\csname dom15\endcsname{%
  \scaledom[15]{\q\q\q\q-\q\q\q\q-\q\q\z\q-\q\q\q\q}}
\expandafter\def\csname dom16\endcsname{%
  \scaledom[16]{\q\q\q\q-\q\q\q\q-\q\q\q\q-\q\q\q\q}}
\begin{document}
\renewcommand\domcolor{red!50}\dom{1} \dom{2} \dom{3} \dom{4}\par
\dom{5} \dom{6} \dom{7} \dom{8}\par
\dom{9} \renewcommand\domcolor{blue!50}\dom{10} \dom{11} \dom{12}\par
\renewcommand\domcolor{green!50}\dom{13} \dom{14} \dom{15} \dom{16}

\medskip\renewcommand\domwd{35pt}\renewcommand\domsz{.75cm}
\dom{13} \dom{14} \dom{15} \dom{16}
\end{document}

在此处输入图片描述

答案4

利用 J Leon V. 的想法和 Steven B. Segletes 的代码，我创建了最多 81 个多米诺骨牌面：

\documentclass{article}
\usepackage{stackengine,scalerel,xcolor}
\newcommand\domsz{.8cm}
\newcommand\domwd{70pt}
\newcommand\domcolor{white}
\newcommand\domsq{\fboxsep=0pt\fbox{\textcolor{\domcolor}{\rule{\domwd}{\domwd}}}}
\setstackEOL{-}
\newlength\dotwd
\newlength\dotht
\newcommand\Q{\makebox[\dotwd]{$\bullet$}}
\newcommand\z{\makebox[\dotwd]{\phantom{$\bullet$}}}
\newcommand\scaledom[2][9]{%
    \setlength\dotwd{.1\dimexpr\domwd}%
    \setlength\dotht{.1\dimexpr\domwd}%
  \setstackgap{L}{\the\dotht}%
  \savestack\tmpbox{\stackinset{c}{}{c}{-.1ex}{\Longstack{#2}}{\domsq}}%
  \scaleto{\tmpbox}{\domsz}%
}
\newcommand\dom[1]{\csname dom#1\endcsname}
\expandafter\def\csname dom1\endcsname{\scaledom{
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\Q\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z
}}
\expandafter\def\csname dom2\endcsname{\scaledom{
    \z\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\z
}}
\expandafter\def\csname dom3\endcsname{\scaledom{
    \z\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\Q\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\z
}}
\expandafter\def\csname dom4\endcsname{\scaledom{
    \Q\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\Q
}}
\expandafter\def\csname dom5\endcsname{\scaledom{
    \Q\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\Q\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\Q
}}
\expandafter\def\csname dom6\endcsname{\scaledom{
    \Q\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\Q
}}
\expandafter\def\csname dom7\endcsname{\scaledom{
    \Q\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\Q
}}
\expandafter\def\csname dom8\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom9\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom10\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom11\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\z\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\z\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom12\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\z\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom13\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom14\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom15\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\z\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom16\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\Q\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\Q\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom17\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\Q\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\Q\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom18\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom19\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \z\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\z-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom20\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom21\endcsname{\scaledom{
    \Q\z\z\z\Q\z\z\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\z\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom22\endcsname{\scaledom{
    \Q\z\z\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom23\endcsname{\scaledom{
    \Q\z\z\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\z\z\Q
}}
\expandafter\def\csname dom24\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom25\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom26\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\Q\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\Q\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom27\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom28\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom29\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom30\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom31\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom32\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom33\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom34\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\z\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\z\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom35\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
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    \Q\z\Q\z\Q\z\Q\z\Q-
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    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom36\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
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    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom37\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
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    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom38\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
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    \Q\z\Q\z\Q\z\Q\z\Q-
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    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom39\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\z\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
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    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\z\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom40\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\z\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom41\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom42\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\Q\z\Q\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom43\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\Q\Q\Q\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom44\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\Q\z\Q\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom45\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\Q\Q\Q\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom46\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom47\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\z\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom48\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom49\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom50\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom51\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom52\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom53\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom54\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\Q\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
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    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\Q\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom55\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\Q\Q\z\Q-
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    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\Q\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom56\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\Q\Q\Q\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\Q\Q\Q\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom57\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\Q\Q\Q\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\Q\Q\Q\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom58\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
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    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom59\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom60\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
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    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom61\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
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    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\z\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom62\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom63\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\z\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\z\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom64\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom65\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom66\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\Q-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \Q\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom67\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\Q-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \Q\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom68\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \Q\Q\Q\Q\z\Q\Q\Q\Q-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\z\Q\z\Q\z\Q\z\Q
}}
\expandafter\def\csname dom69\endcsname{\scaledom{
    \Q\z\Q\z\Q\z\Q\z\Q-
    \z\Q\Q\Q\Q\Q\Q\Q\z-
    \Q\Q\Q\Q\Q\Q\Q\Q\Q-
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多米诺骨牌的正面如下：

多米诺骨牌正面有 81 个点

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