File:Relation repr 12div.pdf
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Relation_repr_12div.pdf (412 × 412 pixels, file size: 16 KB, MIME type: application/pdf)
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Summary
[edit]DescriptionRelation repr 12div.pdf |
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 |
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\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}
|
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 19:13, 12 December 2022 | 412 × 412 (16 KB) | Jochen Burghardt (talk | contribs) | rm bounding box indicators | |
19:10, 12 December 2022 | 412 × 412 (16 KB) | Jochen Burghardt (talk | contribs) | Uploaded own work with UploadWizard |
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Software used | TeX |
---|---|
Conversion program | pdfTeX-1.40.22 |
Encrypted | no |
Page size | 198.424 x 198.424 pts |
Version of PDF format | 1.5 |