Ymele:Regular hexagon symmetries.svg

Frumlicu ymele ‎(SVG ymele, rihte 886 × 766 pixela, ymelan micelness: 54 KB)

Þeos ymele is fram Wikimedia Commons and man mot brucan hire on oðrum weorcum. Seo amearcung on hire tramete ymelan amearcunge þær is her geywed.

Scortness

TowritennessRegular hexagon symmetries.svg	English: Hexagon symmetries. SVG obtained from PDF generated using LaTeX source code below and manually edited for default rendering size.
Tælmearc	3 Ærra Geola 2014
Fruma	Agen weorc, chart sourced from The Symmetries of Things, p.276, Figure 20.5 Types of Hexagons John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, (2008) The Symmetries of Things, ISBN 978-1-56881-220-5 (Chapter 20, Generalized Schaefli symbols, Types of symmetry of a polygon pp.275-278)
Dædfruma	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}

Leaf:

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.

Þu most:

bryttian – to copy, distribute and transmit the work
to remix – andwendan þæt weorc

Under the following conditions:

hlígung – 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.
Efenlice bryttiendlic – Gif þu andwende þis weorc to ohte, þu scleat bryttian þæt andwendede weorc synderlice mid þære ilcan oþþe gelicre leafe swilcre þis brycþ.

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.

Þu most ceosan leafe

Ymelan stær

Swing dæg/tide mid mys to seonne þa ymelan swa heo wæs on þære tide geywed.

	Dæg/Tid	Micelnesse gemetu	Brucend	Ymbspræc
nu	20:20, 4 Gēolmōnaþ 2014	886 × 766 (54 KB)	Krishnavedala	manually edited SVG file for increased dimensions
	20:11, 4 Gēolmōnaþ 2014	443 × 383 (54 KB)	Krishnavedala	increased font size for clarity
	20:01, 4 Gēolmōnaþ 2014	439 × 379 (54 KB)	Krishnavedala	reduced gaps further
	19:30, 4 Gēolmōnaþ 2014	318 × 276 (33 KB)	Krishnavedala	reduced spacing between left and right image sets thus increasing resolution
	22:56, 3 Gēolmōnaþ 2014	391 × 314 (39 KB)	Krishnavedala	added missing mirror lines and other labels
	16:19, 3 Gēolmōnaþ 2014	387 × 313 (35 KB)	Krishnavedala	{{Information \|Description ={{en\|1=Hexagon symmetries}} \|Source ={{own}}, chart sourced from ''The Symmetries of Things'', p.276, Figure 20.5 Types of Hexagons * John H. Conway, Heidi Burgiel, Chaim...

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Seoxhyrne

Ymelan eormen nytt

Þas wiki brucaþ þissa ymelena:

Nytt on ca.wikipedia.org
- Grup diedral
Nytt on en.wikipedia.org
Nytt on es.wikipedia.org
- Hexágono
Nytt on id.wikipedia.org
- Grup dihedral
Nytt on ro.wikipedia.org
- Grup diedral
Nytt on sr.wikipedia.org
- Шестоугао
Nytt on test2.wikipedia.org
- Hexagon
Nytt on uk.wikipedia.org
- Правильний шестикутник

Metagefræge

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If the file has been modified from its original state, some details may not fully reflect the modified file.

Wīdu	708.48pt
Hiehð	612.834pt

Ymele:Regular hexagon symmetries.svg

Scortness

Leaf:

Captions

Items portrayed in this file

depicts ^English

creator ^English

some value

copyright status ^English

copyrighted ^English

copyright license ^English

GNU Free Documentation License, version 1.2 or later ^English

Creative Commons Attribution-ShareAlike 3.0 Unported ^English

inception ^English

3 Ærra Geola 2014

source of file ^English

original creation by uploader ^English

Ymelan stær

Biliþbendas

Ymelan eormen nytt

Metagefræge

Scortness

Leaf:

Captions

Items portrayed in this file

depicts English

creator English

some value

copyright status English

copyrighted English

copyright license English

GNU Free Documentation License, version 1.2 or later English

Creative Commons Attribution-ShareAlike 3.0 Unported English

inception English

3 Ærra Geola 2014

source of file English

original creation by uploader English

Ymelan stær

Biliþbendas

Ymelan eormen nytt

Metagefræge

depicts ^English

creator ^English

copyright status ^English

copyrighted ^English

copyright license ^English

GNU Free Documentation License, version 1.2 or later ^English

Creative Commons Attribution-ShareAlike 3.0 Unported ^English

inception ^English

source of file ^English

original creation by uploader ^English