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diff --git a/graphics/pgf/contrib/tikz-bagua/tikz-bagua-en.tex b/graphics/pgf/contrib/tikz-bagua/tikz-bagua-en.tex new file mode 100644 index 0000000000..63b3583d35 --- /dev/null +++ b/graphics/pgf/contrib/tikz-bagua/tikz-bagua-en.tex @@ -0,0 +1,117 @@ +\documentclass{article} + +\usepackage[margin=3cm]{geometry} + +\usepackage{tikz-bagua} +\usetikzlibrary{math} + +\input{binhex} + +\usepackage{makeidx} + +\makeindex + +\title{TikZ-Bagua Package} +\author{WANG Xu \\ cwangx@hotmail.com} +\date{\today~v1.01} + +\begin{document} + +\maketitle + +\section{Introduction} + +The \verb+TikZ-Bagua+ package mainly using \verb+TikZ+, by \verb+xparse+, \verb+xstring+, \verb+bitset+ and \verb+xintexpr+, defines the Grand Terminus \cite{Legge} \verb+\taiji+ and \verb+\xtaiji+ for newer method, \verb+\liangyi+ for the Two Elementary Forms, \verb+\sixiang+ for the Four Emblematic Symbols, \verb+\bagua+ for the Eight Trigrams and \verb+\Bagua+ for Sixty-four Hexagrams, in \emph{The I Ching}, without require special fonts. + +\section{Usage methods} + +The last argument of all defined macros is optional \verb|scale|, and default $1$. + +\subsection{The Grand Terminus (the \emph{Taiji})} + +Thanks to netizens, the default is same as in ancient books without \emph{the Fish Eyes}, show its by macro with star. +For reason that there are some formed by semi-circles, so add \verb+\xtaiji+ for it, with (or without) star. + +\verb+\taiji [<scale>]+\index{taiji@\verb+\taiji+}, \verb+\taiji* [<scale>]+\index{xtaiji@\verb+\xtaiji+}. + +\verb+\xtaiji [<scale>]+\index{taiji@\verb+\taiji+}, \verb+\xtaiji* [<scale>]+\index{xtaiji@\verb+\xtaiji+}. + +The four above macros show \taiji \taiji* \xtaiji \xtaiji*. + +\subsection{The Two Elementary Forms (the \emph{Liangyi})} +\verb+\liangyi {<bin>} [<scale>]+\index{liangyi@\verb+\liangyi+}. + +We can obtain \liangyi{1} and \liangyi{0} by \verb+\liangyi{<bin>}+ getting $1$ and $0$, respectively. + + +\subsection{The Four Emblematic Symbols (the \emph{Sixiang})} +\verb+\sixiang {<bin>} [<scale>]+\index{sixiang@\verb+\sixiang+}, \verb+\sixiang* {<dec>} [<scale>]+\index{sixiang*@\verb+\sixiang*+}. + +The Four Emblematic Symbols obtained from \verb+\sixiang{<bin>}+ by getting the binary number of $3,2,1,0$, and \verb+\sixiang*{<dec>}+ for decimal. + +\begin{center} + \begin{tikzpicture} + \foreach \j in {3,2,1,0} + { + \node at (3-\j,-0.5) {$\j$}; + \node at (3-\j,0.5) {\nbinary{2}{\j}}; + \node at (3-\j,0) {\sixiang*{\j}}; + } + \end{tikzpicture} +\end{center} + +\subsection{The Eight Trigrams (the \emph{Bagua} with three lines)} +\verb+\bagua {<bin>} [<scale>]+\index{bagua@\verb+\bagua+}, \verb+\bagua* {<dec>} [<scale>]+\index{bagua*@\verb+\bagua*+}. + +The Eight Trigrams obtained from \verb+\bagua{<bin>}+ by getting the binary number of $7,6,\dots,0$, and \verb+\bagua*{<dec>}+ for decimal. + +\begin{center} + \begin{tikzpicture} + \foreach \j in {7,6,...,0} + { + \node at (7-\j,-0.5) {$\j$}; + \node at (7-\j,0.5) {\nbinary{3}{\j}}; + \node at (7-\j,0) {\bagua*{\j}}; + } + \end{tikzpicture} +\end{center} + +\subsection{The Sixty-four Hexagrams (the \emph{Bagua} with six lines)} +\verb+\Bagua [<2,8>]{<bin,oct>} [<scale>]+\index{Bagua@\verb+\Bagua+}, \verb+\Bagua* {<dec>} [<scale>]+\index{Bagua*@\verb+\Bagua*+}. + +The Sixty-four Hexagrams obtained from \verb+\Bagua{<bin>}+ by getting the binary number of $63,62,\dots,0$, \verb+\Bagua[8]{<oct>}+ for octal number $77,76,\dots,0$, and \verb+\bagua*{<dec>}+ for decimal. + +We list all the Sixty-four Hexagrams here, in which the above number is binary, the below is decimal and octal. + +\begin{center} + \begin{tikzpicture} + \foreach \j in {7,6,...,0} + { + \foreach \k in {7,6,...,0} + { + \node at (7*1.25-1.25*\k-0.3,1.5*\j-0.5) {\pgfmathparse{int(8*\j+\k)}\pgfmathresult}; + \node at (7*1.25-1.25*\k+0.3,1.5*\j-0.5) {\j\k}; + \node at (7*1.25-1.25*\k,1.5*\j+0.5) {\nbinary{3}{\j}\nbinary{3}{\k}}; + \node at (7*1.25-1.25*\k,1.5*\j) {\Bagua[8]{\j\k}[1.5]}; + } +% \node at (7-\j,0) {$\j$}; +% \node at (7-\j,-0.5) {\nbinary{3}{\j}}; +% \node at (7-\j,-1) {\bagua*{\j}}; + } + \end{tikzpicture} +\end{center} + +\section{Versions} +\subsection*{v1.01~2022.08.04} +Revise \verb+\taiji+ to show the Grand Terminus in ancient books, add \verb+\xtaiji+ for later, fix some bugs. + +\subsection*{v1.0~2021.10.17} +Release \verb+TikZ-Bugua+ v1.0. + +\begin{thebibliography}{9} + \bibitem {Legge} James Legge (Trans.). The I Ching, Second Edition. Dover Publications, Inc. +\end{thebibliography} + +\printindex + +\end{document}
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