File:Deformation in movable cellular automatation.svg

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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
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Under the following conditions:
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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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