File:Relation repr 12div.pdf
Summary
| Description |
English: Lattice of divisors of 12, ordered by divisibility.
It is shown as Hasse diagram (black arrows only), and as directed graph (black and light blue arrows). |
| Date | |
| Source | Own work |
| Author | Jochen Burghardt |
| Other versions | File:Relation repr 12div.pdf * File:Relation repr 12div svg.svg |
LaTeX source code |
|---|
\documentclass[12pt]{article}
\setlength{\unitlength}{1mm}
\usepackage[pdftex]{color}
\usepackage{amssymb}
\usepackage[paperwidth=70\unitlength,paperheight=70\unitlength]{geometry}
\setlength{\topmargin}{-36mm}
\setlength{\textwidth}{70\unitlength}
\setlength{\textheight}{70\unitlength}
\setlength{\oddsidemargin}{-23mm}
\setlength{\parindent}{0cm}
\pagestyle{empty}
% colors
\definecolor{fElem} {rgb}{0.50,0.00,0.00}
\definecolor{fHasse} {rgb}{0.00,0.00,0.00}
\definecolor{fGraph} {rgb}{0.70,0.70,0.99}
\begin{document}
\begin{picture}(65,65)%
%\put(0,0){\makebox(0,0){$+$}}%
%\put(65,65){\makebox(0,0){$+$}}%
\thicklines%
\textcolor{fHasse}{\put(43, 3){\vector(-1,1){20}}}%
\textcolor{fHasse}{\put(43, 3){\vector( 1,1){20}}}%
\textcolor{fHasse}{\put(63,23){\vector(-1,1){20}}}%
\textcolor{fHasse}{\put(23,23){\vector( 1,1){20}}}%
\textcolor{fHasse}{\put(23,23){\vector(-1,1){20}}}%
\textcolor{fHasse}{\put(43,43){\vector(-1,1){20}}}%
\textcolor{fHasse}{\put( 3,43){\vector( 1,1){20}}}%
%
\textcolor{fGraph}{\put(43, 3){\vector( 0,1){40}}}% 1-6
\textcolor{fGraph}{\put(23,23){\vector( 0,1){40}}}% 2-12
\textcolor{fGraph}{\put(43, 3){\vector(-1,3){20}}}% 1-12
\textcolor{fGraph}{\put(43, 3){\line( -1,0){ 5}}}% 1-4
\textcolor{fGraph}{\put(38, 3){\line( -1,1){35}}}% 1-4
\textcolor{fGraph}{\put( 3,38){\vector( 0,1){ 5}}}% 1-4
\textcolor{fGraph}{\put(63,23){\line( 0,1){ 5}}}% 3-12
\textcolor{fGraph}{\put(63,28){\line( -1,1){35}}}% 3-12
\textcolor{fGraph}{\put(28,63){\vector(-1,0){ 5}}}% 3-12
%
\textcolor{fElem}{\put(43, 3){\circle*{1}}}%
\textcolor{fElem}{\put(23,23){\circle*{1}}}%
\textcolor{fElem}{\put(63,23){\circle*{1}}}%
\textcolor{fElem}{\put(43,43){\circle*{1}}}%
\textcolor{fElem}{\put( 3,43){\circle*{1}}}%
\textcolor{fElem}{\put(23,63){\circle*{1}}}%
%
\textcolor{fElem}{\put(46, 3){\makebox(0,0)[l]{$1$}}}%
\textcolor{fElem}{\put(26,23){\makebox(0,0)[l]{$2$}}}%
\textcolor{fElem}{\put( 6,43){\makebox(0,0)[l]{$4$}}}%
\textcolor{fElem}{\put(60,23){\makebox(0,0)[r]{$3$}}}%
\textcolor{fElem}{\put(40,43){\makebox(0,0)[r]{$6$}}}%
\textcolor{fElem}{\put(20,63){\makebox(0,0)[r]{$12$}}}%
\end{picture}
\end{document}
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