☰

是否有可能围绕方程创建一个适应性的黄金比例框架？

tag-icon • tag-icon tikz-pgf framed
是否有可能围绕方程创建一个适应性的黄金比例框架？

我想在我的方程周围创建特殊的框架。这个框架应该遵循黄金比例规则。这意味着它的宽度除以它的高度应该等于1.61803398875。

如果可能的话，代码将适应选择长的边。例如，对于一个长列向量，其高度将是其宽度的 1.61803398875 倍。

我在本论坛的另一个问题中发现了以下代码（这里）。它使用tikz但我不知道如何修改它以获得围绕我的方程的黄金比例框架......

\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{shapes}

\makeatletter
\newdimen\@myBoxHeight%
\newdimen\@myBoxDepth%
\newdimen\@myBoxWidth%
\newdimen\@myBoxSize%
\newcommand{\SquareBox}[2][]{%
    \settoheight{\@myBoxHeight}{#2}% Record height of box
    \settodepth{\@myBoxDepth}{#2}% Record depth of box
    \settowidth{\@myBoxWidth}{#2}% Record width of box
    \pgfmathsetlength{\@myBoxSize}{max(\@myBoxWidth,(\@myBoxHeight+\@myBoxDepth))}%
    \tikz \node [shape=rectangle, shape aspect=1,draw=red,inner sep=2\pgflinewidth, minimum size=\@myBoxSize,#1] {#2};%
}%
\makeatother

\begin{document}
\SquareBox{I}
\SquareBox{y}
\SquareBox[thick, dashed]{long text}
\SquareBox[draw=blue]{longer text}
\SquareBox[draw=blue, thick, fill=yellow]{$e = mc^2$}
\SquareBox[draw=black, thick, fill=yellow!10, rounded corners=2pt]{$\displaystyle \int_{-\dfrac{\pi}{2}}^{\dfrac{\pi}{2}} dx $}
\end{document}

提前感谢您的帮助。

答案1

卧式金盒

这里有一个 （纯 TikZ！) 通过fit、calc和backgroundsTikZ 库求解，其中所有方程式都是水平对齐的：

在此处输入图片描述

\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{fit,calc,backgrounds}

\pgfmathsetmacro\goldenratio{(1+sqrt(5))/2}
\newcommand\GoldenBox[2][]{%
  \begin{tikzpicture}[baseline=(eq.base)]
    \node[inner sep=0] (eq) {#2};
    \begin{scope}[on background layer]
      \path let \p1=(eq.south west), \p2=(eq.north east),
      \n{boxw}={max(\x2-\x1,(\y2-\y1)*\goldenratio)},
      \n{boxh}={\n{boxw}/\goldenratio}
      in node [rectangle,fit=(eq),draw=red,inner sep=2*\pgflinewidth,
      minimum width=\n{boxw},minimum height=\n{boxh},#1] {};%
    \end{scope}
  \end{tikzpicture}%
}

\begin{document}
\GoldenBox{I}
\GoldenBox{y}
\GoldenBox[thick, dashed]{long text}
\GoldenBox[draw=blue]{longer text}
\GoldenBox[draw=blue, thick, fill=yellow]{$e = mc^2$}
\GoldenBox[draw=black, thick, fill=yellow!10, rounded corners=2pt]
{$\displaystyle \int_{-\dfrac{\pi}{2}}^{\dfrac{\pi}{2}} dx $}
\end{document}

垂直或水平 GoldenBox

在此处输入图片描述

\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{fit,calc,backgrounds}
\pagestyle{empty}
\pgfmathsetmacro\goldenratio{(1+sqrt(5))/2}
\newcommand\GoldenBox[2][]{%
  \begin{tikzpicture}[baseline=(eq.base)]
    \node[inner sep=0] (eq) {#2};
    \begin{scope}[on background layer]
      \path let
      \p1=(eq.south west), \p2=(eq.north east),
      \n{w}={\x2-\x1}, \n{h}={\y2-\y1},
      \n{boxw}={\n{w}>=\n{h}?max(\n{w},\n{h}*\goldenratio):max(\n{w},\n{h}/\goldenratio)},
      \n{boxh}={\n{w}>=\n{h}?max(\n{w}/\goldenratio,\n{h}):max(\n{h}:\n{w}*\goldenratio)}
      in node [rectangle,fit=(eq),draw=red,inner sep=2*\pgflinewidth,
      minimum width=\n{boxw},minimum height=\n{boxh},#1] {};%
    \end{scope}
  \end{tikzpicture}%
}

\begin{document}
\GoldenBox{I}
\GoldenBox{y}
\GoldenBox[thick, dashed]{long text}
\GoldenBox[draw=blue]{longer text}
\GoldenBox[draw=blue, thick, fill=yellow]{$e = mc^2$}
\GoldenBox[draw=black, thick, fill=yellow!10, rounded corners=2pt]
{$\displaystyle \int_{-\dfrac{\pi}{2}}^{\dfrac{\pi}{2}} dx $}
\GoldenBox[draw=black, thick, fill=yellow!10, rounded
corners=2pt]{$\displaystyle
\begin{pmatrix}
  1\\2\\3\\4\\5\\6
\end{pmatrix}$}
\end{document}

答案2

调整并不难。你需要宽度的尺寸和高度：

示例输出

\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\usetikzlibrary{shapes}

\makeatletter
\newdimen\@myBoxHeight%
\newdimen\@myBoxDepth%
\newdimen\@myBoxWidth%
\newdimen\@myBoxW%
\newdimen\@myBoxH%
\newcommand{\GoldenBox}[2][]{%
    \settoheight{\@myBoxHeight}{#2}% Record height of box
    \settodepth{\@myBoxDepth}{#2}% Record depth of box
    \settowidth{\@myBoxWidth}{#2}% Record width of box
    \pgfmathsetlength{\@myBoxW}{max(\@myBoxWidth,(\@myBoxHeight+\@myBoxDepth)*1.61803398875)}%
    \pgfmathsetlength{\@myBoxH}{\@myBoxW/1.61803398875}
    \tikz \node [shape=rectangle, shape aspect=1,draw=red,inner
    sep=2\pgflinewidth, minimum width=\@myBoxW,minimum height=\@myBoxH,#1] {#2};%
}%
\makeatother

\begin{document}
\GoldenBox{I}
\GoldenBox{y}
\GoldenBox[thick, dashed]{long text}
\GoldenBox[draw=blue]{longer rambling text}
\GoldenBox[draw=blue, thick, fill=yellow]{$e = mc^2$}
\GoldenBox[draw=black, thick, fill=yellow!10, rounded
corners=2pt]{$\displaystyle
\begin{pmatrix}
  1\\2\\3\\4\\5\\6
\end{pmatrix}$}
\end{document}

相关内容