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Originalna datoteka(SVG datoteka, nominalno 886 × 766 piksela, veličina: 54 kB)

Opis izmene

Opis
English: Hexagon symmetries. SVG obtained from PDF generated using LaTeX source code below and manually edited for default rendering size.
Datum
Izvor

Sopstveno delo, 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)
Autor 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}

Licenciranje

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Natpisi

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skraćeno ime autora Serbian (transliteracija): Krishnavedala
Vikimedija Serbian (transliteracija): Krishnavedala

status autorskog prava Serbian (transliteracija)

zaštićeno autorskim pravima Serbian (transliteracija)

3. decembar 2014

izvor datoteke Serbian (transliteracija)

sopstveno delo Serbian (transliteracija)

Istorija datoteke

Kliknite na datum/vreme da biste videli tadašnju verziju datoteke.

Datum/vremeMinijaturaDimenzijeKorisnikKomentar
trenutna22:20, 4. decembar 2014.Minijatura za verziju na dan 22:20, 4. decembar 2014.886 × 766 (54 kB)Krishnavedalamanually edited SVG file for increased dimensions
22:11, 4. decembar 2014.Minijatura za verziju na dan 22:11, 4. decembar 2014.443 × 383 (54 kB)Krishnavedalaincreased font size for clarity
22:01, 4. decembar 2014.Minijatura za verziju na dan 22:01, 4. decembar 2014.439 × 379 (54 kB)Krishnavedalareduced gaps further
21:30, 4. decembar 2014.Minijatura za verziju na dan 21:30, 4. decembar 2014.318 × 276 (33 kB)Krishnavedalareduced spacing between left and right image sets thus increasing resolution
00:56, 4. decembar 2014.Minijatura za verziju na dan 00:56, 4. decembar 2014.391 × 314 (39 kB)Krishnavedalaadded missing mirror lines and other labels
18:19, 3. decembar 2014.Minijatura za verziju na dan 18:19, 3. decembar 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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