通过xypic绘制ec1插图之二/序理想生成的格

原创

zorch 2022-08-26 13:43:07 博主文章分类：LaTeX ©著作权

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tags: LaTeX xypic Hasse

写在前面

绘制下面的这个图¹, 并加上标注, 思路很简单, 描点画图:

\documentclass[border=3pt]{standalone}
\usepackage{amssymb}
\usepackage[all,pdf]{xy}
% \xyoption{color}
\newcommand{\B}{\dir{*}}
\def\sst{\scriptscriptstyle}

\begin{document}
  \begin{xy}\drop[*1.5]\xybox{
    (0,0)="A"*{\B}*\cir{}*+!R{\sst a},
    (5,0)="B"*{\B}*\cir{}*+!L{\sst b},
    (10,0)="C"*{\B}*\cir{}*+!L{\sst c},
    (0,4)="AB"*{\B}*\cir{}*+!R{\sst ab},
    (10,4)="BC"*{\B}*\cir{}*+!CL{\sst bc},
    (5,4)="AC"*{\B}*\cir{}*+!U{\sst ac},
    (5,-4)="X"*{\B}*\cir{}*+!R{\sst \varnothing},
    (5,8)="ABC"*{\B}*\cir{}*+!R{\sst abc},
    (-5,8)="D"*{\B}*\cir{}*+!U{\sst d},
    (0,12)="ABCD"*{\B}*\cir{}*+!R{\sst abcd},
    (15,8)="E"*{\B}*\cir{}*+!L{\sst e},
    (10,12)="ABCE"*{\B}*\cir{}*+!R{\sst abce},
    (5,16)="ABCDE"*{\B}*\cir{}*+!R{\sst abcde},
    (25,4)="F"*{\B}*\cir{}*+!L{\sst f},
    (25,8)="BCF"*{\B}*\cir{}*+!L{\sst bcf},
    (10,8)="ACF"*{\B}*\cir{}*+!U{\sst acf},
    (20,12)="ABCF"*{\B}*\cir{}*+!R{\sst abcf},
    (25,12)="BCEF"*{\B}*\cir{}*+!L{\sst bcef},
    (20,16)="ABCEF"*{\B}*\cir{}*+!L{\sst abcef},
    (15,16)="ABCDF"*{\B}*\cir{}*+!R{\sst abcdf},
    (15,20)="ABCDEF"*{\B}*\cir{}*+!R{\sst abcdef},
    "X";"A"**{}**@{-},
    "X";"B"**{}**@{-},
    "X";"C"**{}**@{-},
    "A";"AC"**{}**@{-},
    "C";"AC"**{}**@{-},
    "B";"BC"**{}**@{-},
    "C";"BC"**{}**@{-},
    "A";"AB"**{}**@{-},
    "B";"AB"**{}**@{-},
    "AC";"ABC"**{}**@{-},
    "BC";"ABC"**{}**@{-},
    "AB";"ABC"**{}**@{-},
    "D";"AB"**{}**@{-},
    "D";"ABCD"**{}**@{-},
    "ABC";"ABCD"**{}**@{-},
    "E";"BC"**{}**@{-},
    "E";"ABCE"**{}**@{-},
    "ABC";"ABCE"**{}**@{-},
    "ABCD";"ABCDE"**{}**@{-},
    "ABCE";"ABCDE"**{}**@{-},
    "F";"C"**{}**@{-},
    "F";"BCF"**{}**@{-},
    "BC";"BCF"**{}**@{-},
    "AC";"ACF"**{}**@{-},
    "F";"ACF"**{}**@{-},
    "BC";"BCF"**{}**@{-},
    "AC";"ACF"**{}**@{-},
    "BCF";"ABCF"**{}**@{-},
    "ACF";"ABCF"**{}**@{-},
    "ABC";"ABCF"**{}**@{-},
    "BCF";"BCEF"**{}**@{-},
    "E";"BCEF"**{}**@{-},
    "ABCE";"ABCEF"**{}**@{-},
    "BCEF";"ABCEF"**{}**@{-},
    "ABCD";"ABCDF"**{}**@{-},
    "ABCF";"ABCDF"**{}**@{-},
    "ABCF";"ABCEF"**{}**@{-},
    "ABCDF";"ABCDEF"**{}**@{-},
    "ABCDE";"ABCDEF"**{}**@{-},
    "ABCEF";"ABCDEF"**{}**@{-},
}
  \end{xy}
\end{document}

根据秩的不同加上一点颜色:

\documentclass[border=3pt]{standalone}
\usepackage{amssymb,xcolor}
\usepackage[all,pdf]{xy}
% \xyoption{crayon}
\newcommand{\B}{\dir{*}}
\def\sst{\scriptscriptstyle}

\begin{document}
  \begin{xy}\drop[*1.5]\xybox{
    (0,0)="A"*{\B}*\cir{}*+!R{\sst \color{red}a},
    (5,0)="B"*{\B}*\cir{}*+!L{\sst \color{red}b},
    (10,0)="C"*{\B}*\cir{}*+!L{\sst \color{red}c},
    (0,4)="AB"*{\B}*\cir{}*+!R{\sst \color{blue}ab},
    (10,4)="BC"*{\B}*\cir{}*+!CL{\sst \color{blue}bc},
    (5,4)="AC"*{\B}*\cir{}*+!U{\sst \color{blue}ac},
    (5,-4)="X"*{\B}*\cir{}*+!R{\sst \color{brown}\varnothing},
    (5,8)="ABC"*{\B}*\cir{}*+!R{\sst \color{teal}abc},
    (-5,8)="D"*{\B}*\cir{}*+!U{\sst \color{teal}d},
    (0,12)="ABCD"*{\B}*\cir{}*+!R{\sst \color{purple}abcd},
    (15,8)="E"*{\B}*\cir{}*+!L{\sst \color{teal}e},
    (10,12)="ABCE"*{\B}*\cir{}*+!R{\sst \color{purple}abce},
    (5,16)="ABCDE"*{\B}*\cir{}*+!R{\sst \color{cyan}abcde},
    (25,4)="F"*{\B}*\cir{}*+!L{\sst \color{blue}f},
    (25,8)="BCF"*{\B}*\cir{}*+!L{\sst \color{teal}bcf},
    (10,8)="ACF"*{\B}*\cir{}*+!U{\sst \color{teal}acf},
    (20,12)="ABCF"*{\B}*\cir{}*+!R{\sst \color{purple}abcf},
    (25,12)="BCEF"*{\B}*\cir{}*+!L{\sst \color{purple}bcef},
    (20,16)="ABCEF"*{\B}*\cir{}*+!L{\sst \color{cyan}abcef},
    (15,16)="ABCDF"*{\B}*\cir{}*+!R{\sst \color{cyan}abcdf},
    (15,20)="ABCDEF"*{\B}*\cir{}*+!R{\sst \color{magenta}abcdef},
    "X";"A"**{}**@@{-},
    "X";"B"**{}**@{-},
    "X";"C"**{}**@{-},
    "A";"AC"**{}**@{-},
    "C";"AC"**{}**@{-},
    "B";"BC"**{}**@{-},
    "C";"BC"**{}**@{-},
    "A";"AB"**{}**@{-},
    "B";"AB"**{}**@{-},
    "AC";"ABC"**{}**@{-},
    "BC";"ABC"**{}**@{-},
    "AB";"ABC"**{}**@{-},
    "D";"AB"**{}**@{-},
    "D";"ABCD"**{}**@{-},
    "ABC";"ABCD"**{}**@{-},
    "E";"BC"**{}**@{-},
    "E";"ABCE"**{}**@{-},
    "ABC";"ABCE"**{}**@{-},
    "ABCD";"ABCDE"**{}**@{-},
    "ABCE";"ABCDE"**{}**@{-},
    "F";"C"**{}**@{-},
    "F";"BCF"**{}**@{-},
    "BC";"BCF"**{}**@{-},
    "AC";"ACF"**{}**@{-},
    "F";"ACF"**{}**@{-},
    "BC";"BCF"**{}**@{-},
    "AC";"ACF"**{}**@{-},
    "BCF";"ABCF"**{}**@{-},
    "ACF";"ABCF"**{}**@{-},
    "ABC";"ABCF"**{}**@{-},
    "BCF";"BCEF"**{}**@{-},
    "E";"BCEF"**{}**@{-},
    "ABCE";"ABCEF"**{}**@{-},
    "BCEF";"ABCEF"**{}**@{-},
    "ABCD";"ABCDF"**{}**@{-},
    "ABCF";"ABCDF"**{}**@{-},
    "ABCF";"ABCEF"**{}**@{-},
    "ABCDF";"ABCDEF"**{}**@{-},
    "ABCDE";"ABCDEF"**{}**@{-},
    "ABCEF";"ABCDEF"**{}**@{-},
}
  \end{xy}
\end{document}