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File:Deformation in movable cellular automatation.svg

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Original file (SVG file, nominally 516 × 472 pixels, file size: 8 KB)

Summary

Description
English: Geometrical explanation for the fact that rotation of body as whole does not deforma a pair of automata.
Date
Source Own work
Author Krishnavedala
SVG development
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This vector image was created with LaTeX.
Source code
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SVG code

LaTeX source code
\begin{tikzpicture}[thick,>=latex',every node/.style={font=\scriptsize},scale=2]
	\draw [<->,shift={(-1.5,-1)},scale=.2] 
		(0,3) node [anchor=west] {$Y$} 
		-- (0,0) node [anchor=north] {$0$} 
		-- (3,0) node [anchor=north] {$X$};
	\draw [rotate=30,thin]
		(0,1) circle (.5)
		(0,0) circle (.5)
		(1.5,1.5) circle (.5)
		(0,1) -- (1.5,1.5)
	;
	\draw [thin] (.75,0) arc (0:30:.75) node [anchor=west,pos=.5] {$\alpha$};
	\draw [thin,->,rotate=30] (0,.5) -- ++(-.75,0) node [anchor=east] {$V_x^{ij(i)}$};
	\draw [<->,rotate=30] 
		(0,3) node [anchor=west] {Y'}
		-- (0,0) 
		-- (3,0) node [anchor=north] {X'};
	\draw [dashed] (0,3) -- (0,0) -- (3,0);
	\draw [->,dashed,rotate=30] 
		(1.5,0) -- (1.5,1.5) -- (0,1.5)
		(0,0) -- (1.5,1.5) node [anchor=south] {$\vec{V}^{ij}$};
	\draw [->,dashed,rotate=30] 
		(0,1) node [anchor=west] {$j$}
		-- ++(1.5,0) node [anchor=north] {$V_x^{ij}$};
	\draw [->,dashed,rotate=30] (0,0) -- (0,1.5) node [anchor=south] {$V_y^{ij}$};
	\draw [->,rotate=30] 
		(2,0) ++(30:.5) arc (30:-30:.5) 
		node [anchor=north] {$\omega_{\mbox{\tiny eff} }^{ij}$}
	;
	\draw [->,rotate=30] 
		(0,0) ++(210:.35) node [anchor=west] {$\omega^i$}
		arc (210:150:.35) node [anchor=west] {$i$}
	;
	\draw [->,rotate=30] 
		(0,1) ++(150:.35) node [anchor=west] {$\omega^j$}
		arc (150:210:.35)
	;
	\node [text width=1]at (1.1,2) {$X^j\left(t+\Delta t\right)$\\$Y^j\left(t+\Delta t\right)$};
	\node [text width=.5] at (-1.4,.8) {$X^j(t)$\\$Y^j(t)$};
\end{tikzpicture}

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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.

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30 March 2016

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Date/TimeThumbnailDimensionsUserComment
current02:11, 31 March 2016Thumbnail for version as of 02:11, 31 March 2016516 × 472 (8 KB)Krishnavedalafixed bounding box
02:04, 31 March 2016Thumbnail for version as of 02:04, 31 March 2016708 × 774 (8 KB)KrishnavedalaUser created page with UploadWizard

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