Archiu:Regular hexagon symmetries.svg
Tamany d'esta previsualisació PNG de l'archiu SVG: 693 × 599 píxels. Atres/s resolucions: 278 × 240 píxels | 555 × 480 píxels | 888 × 768 píxels | 1184 × 1024 píxels | 2369 × 2048 píxels | 886 × 766 píxels.
Resolució completa. ((Image SVG, nominalment 886 × 766 pixels, tamany d'archiu: 54 kB))
Summary
| Description |
English: Hexagon symmetries. SVG obtained from PDF generated using LaTeX source code below and manually edited for default rendering size. |
| Date | |
| Source |
Own work, chart sourced from The Symmetries of Things, p.276, Figure 20.5 Types of Hexagons
|
| Author | Krishnavedala |
W3C-validity not checked.LaTeX source code
|
|---|
\documentclass[12pt,border=1pt,tikz,class=scrartcl]{standalone}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage{mathtools}
\usetikzlibrary{shapes,calc,positioning}
\begin{document}
\small
\begin{tikzpicture}[very thick,auto,scale=.5]
\draw [black]
(-5,1) -- (-4.134,.5) -- (-4.134,-.5) -- (-5,-1) -- (-5.866,-.5) -- (-5.866,.5) -- (-5,1)
(12,-7) -- (12.866,-7.5) -- (12.866,-8.5) -- (12,-9) -- (11.134,-8.5) -- (11.134,-7.5) -- (12,-7)
(17,-7) -- (17.866,-7.5) -- (17.866,-8.5) -- (17,-9) -- (16.134,-8.5) -- (16.134,-7.5) -- (17,-7)
(12,-12) -- (12.866,-12.5) -- (12.866,-13.5) -- (12,-14) -- (11.134,-13.5) -- (11.134,-12.5) -- (12,-12)
;
\draw [red]
(0,6) -- (.866,5.5) -- (.866,4.5) -- (0,4) -- (-.866,4.5) -- (-.866,5.5) -- (0,6)
(5,1) -- (5.866,.5) (5.866,-.5) -- (5,-1) (4.134,-.5) -- (4.134,.5)
(12.866,-2.5) -- (12.866,-3.5) (11.134,-2.5) -- (11.134,-3.5)
(7.866,-8.5) -- ++(0,1) (6.134,-8.5) -- ++(0,1)
(0,1) -- ++(-.433,-.25) (.866,.5) -- ++(-.433,.25) (.866,-.5) -- ++(0,.5) (0,-1) -- ++(.433,.25) (-.866,-.5) -- ++(.433,-.25) (-.866,.5) -- ++(0,-.5)
;
\draw [green]
(-.866,-4.5) -- (0,-4) (.866,-4.5) -- (.866,-5.5) (0,-6) -- (-.866,-5.5)
(6.134,-7.5) -- (7,-7) -- (7.866,-7.5)
;
\draw [blue!60]
(5,1) -- (4.134,.5) (4.134,-.5) -- (5,-1) (5.866,-.5) -- (5.866,.5)
(11.134,-2.5) -- (12,-2) -- (12.866,-2.5) (11.134,-3.5) -- (12,-4) -- (12.866,-3.5)
(6.134,-8.5) -- (7,-9) -- (7.866,-8.5)
(0,1) -- ++(.433,-.25) (.866,.5) -- ++(0,-.5) (.866,-.5) -- ++(-.433,-.25) (0,-1) -- ++(-.433,.25) (-.866,-.5) -- ++(0,.5) (-.866,.5) -- ++(.433,.25)
;
\draw [purple] (0,-4) -- (.866,-4.5) (.866,-5.5) -- (0,-6) (-.866,-5.5) -- ++(0,1)
;
\foreach \angle in {0,30,60,...,330} {
\pgfmathparse{1.3*cos(\angle)} \let\xa\pgfmathresult
\pgfmathparse{1.3*sin(\angle)} \let\ya\pgfmathresult
\draw [blue!60,thin] (0,5) -- ++(\xa,\ya);
}
\foreach \angle in {0,60,...,300} {
\pgfmathparse{1.3*cos(\angle)} \let\xa\pgfmathresult
\pgfmathparse{1.3*sin(\angle)} \let\ya\pgfmathresult
\draw [blue!60,thin] (5,0) -- ++(\xa,\ya);
}
\foreach \angle in {30,90,...,330} {
\pgfmathparse{1.3*cos(\angle)} \let\xa\pgfmathresult
\pgfmathparse{1.3*sin(\angle)} \let\ya\pgfmathresult
\draw [blue!60,thin] (-5,0) -- ++(\xa,\ya);
}
\draw [blue!60,thin] (12,-4.3) -- ++(0,2.6) (10.8,-3) -- ++(2.4,0)
(7,-9.3) -- ++(0,2.6) (15.8,-8) -- ++(2.6,0)
;
\draw [fill=green!40,draw=none]
(0,1) circle (.2) (.866,.5) circle (.2) (.866,-.5) circle (.2) (0,-1) circle (.2) (-.866,-.5) circle (.2) (-.866,.5) circle (.2)
(0,6) circle (.2) (.866,5.5) circle (.2) (.866,4.5) circle (.2) (0,4) circle (.2) (-.866,4.5) circle (.2) (-.866,5.5) circle (.2)
(5,1) circle (.2) (5.866,.5) circle (.2) (5.866,-.5) circle (.2) (5,-1) circle (.2) (4.134,-.5) circle (.2) (4.134,.5) circle (.2)
(12,-2) circle (.2) (12,-4) circle (.2)
(7,-7) circle (.2) (7,-9) circle (.2)
;
\draw [fill=blue,draw=none]
(-5,1) circle (.2) (-5.866,-.5) circle (.2) (-4.134,-.5) circle (.2)
(0,-4) circle (.2) (-.866,-5.5) circle (.2) (.866,-5.5) circle (.2)
(12.866,-7.5) circle (.2) (11.134,-8.5) circle (.2)
(17,-7) circle (.2) (17,-9) circle (.2)
(11.134,-13.5) circle (.2)
;
\draw [fill=red,draw=none]
(-5,-1) circle (.2) (-5.866,.5) circle (.2) (-4.134,.5) circle (.2)
(0,-6) circle (.2) (-.866,-4.5) circle (.2) (.866,-4.5) circle (.2)
(16.134,-8.5) circle (.2) (16.134,-7.5) circle (.2)
(12,-7) circle (.2) (12,-9) circle (.2)
(12,-12) circle (.2)
;
\draw [fill=green!40!gray,draw=none]
(7.866,-8.5) circle (.2) (6.134,-8.5) circle (.2)
(12.866,-8.5) circle (.2) (11.134,-7.5) circle (.2)
(17.866,-8.5) circle (.2) (17.866,-7.5) circle (.2)
(11.134,-12.5) circle (.2)
;
\draw [fill=orange,draw=none]
(12.866,-2.5) circle (.2) (12.866,-3.5) circle (.2) (11.134,-2.5) circle (.2) (11.134,-3.5) circle (.2)
(12.866,-13.5) circle (.2)
;
\draw [fill=purple,draw=none] (6.143,-7.5) circle (.2) (7.866,-7.5) circle (.2) (12,-14) circle (.2);
\draw [fill=pink,draw=none] (12.866,-12.5) circle (.2);
\draw [purple!40] (0,1.4) -- ++(0,2) (1,4) -- ++(3,-3) (-1,4) -- ++(-3,-3)
(0,-1.4) -- ++(0,-2) (1,-4) -- ++(3,+3) (-1,-4) -- ++(-3,+3)
(12,-4.6) -- ++(0,-2) (13,-4) -- ++(3,-3) (11,-4) -- ++(-3,-3)
(12,-9.4) -- ++(0,-2) (13,-12) -- ++(3,+3) (11,-12) -- ++(-3,+3)
;
\draw [purple]
(2,5) -- ++(9,-7) (6.5,-.7) -- ++(9,-7) (1.5,-.5) -- ++(9,-7) (-3.5,-.5) -- ++(9,-7) (1,-6) -- ++(9,-7)
;
\draw [every node/.style={ellipse,draw,thin,inner sep=.5pt}]
node at (-.9,3) {r12}
node at (-5.5,-1.5) {d6}
node at (-.7,-1.5) {g6}
node at (4.5,-1.5) {p6}
node at (-.7,-6.5) {g3}
node at (11.4,-4.4) {i4}
node at (11.3,-9.5) {g2}
node at (6.3,-9.5) {d2}
node at (16.5,-9.5) {p2}
node at (11.3,-14.5) {a1}
;
\draw [every node/.style={circle,draw,thin,inner sep=.5pt}]
node at (0,0) {6}
node at (0,-5) {3}
node at (12,-8) {2}
node at (12,-13) {1}
;
\draw
node at (.7,3) {[6]}
node at (-4.1,-1.5) {[3]$_\mathrm{v}$}
node at (.7,-1.5) {[6]$^+$}
node at (5.9,-1.5) {[3]$_\mathrm{e}$}
node at (.7,-6.5) {[3]$^+$}
node at (12.6,-4.4) {[2]}
node at (12.7,-9.5) {[2]$^+$}
node at (7.5,-9.5) {[1]$_\mathrm{v}$}
node at (17.9,-9.5) {[1]$_\mathrm{e}$}
node at (13,-14.5) {[1]$^+$}
;
\end{tikzpicture}
\end{document}
|
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
You may select the license of your choice.
Historial de l'image
Puncha en la data/hora per a vore l'image tal i com es mostrava en eixe moment.
| Data/Hora | Miniatura | Dimensions | Usuari | Descripció | |
|---|---|---|---|---|---|
| actual | 20:20 4 dec 2014 | | 886 × 766 (54 kB) | wikimediacommons>Krishnavedala | manually edited SVG file for increased dimensions |
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