author | Scott Morrison <scott@tqft.net> |
Sun, 11 Dec 2011 23:03:27 -0800 | |
changeset 956 | c336a253ae7b |
parent 955 | 65ef3b339d0a |
child 958 | fea0cfe78103 |
permissions | -rw-r--r-- |
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\documentclass[11pt,leqno]{article} |
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\newcommand{\pathtotrunk}{./} |
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\input{preamble} |
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\input{text/article_preamble} |
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\input{text/kw_macros} |
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||
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%\title{Blob Homology} |
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\title{Sandbox} |
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\begin{document} |
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parents:
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\begin{align*} |
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\begin{tikzpicture}[baseline] |
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parents:
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\node[draw] (c) at (0,0) [circle through = {(1,0)}] {$f$}; |
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parents:
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\node (d) at (c.east) [circle through = {(0.25,0)}] {}; |
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parents:
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\foreach \n in {1,2} { |
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parents:
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\node (p\n) at (intersection \n of c and d) {}; |
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parents:
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\fill (p\n) circle (2pt); |
c336a253ae7b
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parents:
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} |
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parents:
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\begin{scope}[decoration={brace,amplitude=10,aspect=0.5}] |
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\draw[decorate] (p2.east) -- node[right=2ex] {$a$} (p1.east); |
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parents:
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\end{scope} |
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parents:
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\end{tikzpicture} & = |
c336a253ae7b
more work on figures, in the sandbox
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parents:
955
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\begin{tikzpicture}[baseline] |
c336a253ae7b
more work on figures, in the sandbox
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parents:
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\node[draw] (c) at (0,0) [circle through = {(1,0)}] {}; |
c336a253ae7b
more work on figures, in the sandbox
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parents:
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\begin{scope} |
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parents:
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\path[clip] (c) circle (1); |
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\node[draw,dashed] (d) at (c.east) [circle through = {(0.25,0)}] {}; |
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parents:
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\foreach \n in {1,2} { |
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\node (p\n) at (intersection \n of c and d) {}; |
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} |
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parents:
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\node[left] at (c) {$f$}; |
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parents:
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\path[clip] (d) circle (0.75); |
c336a253ae7b
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parents:
955
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\foreach \y in {1,0.86,...,-1} { |
c336a253ae7b
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parents:
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\draw[green!50!brown] (0,\y)--(1,\y); |
c336a253ae7b
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parents:
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} |
c336a253ae7b
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parents:
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\end{scope} |
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\draw[->,blue] (1.5,-1) node[below] {$a \times I$} -- (0.75,0); |
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parents:
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\end{tikzpicture} \\ |
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parents:
955
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changeset
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\begin{tikzpicture}[baseline] |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
|
41 |
\node[draw] (c) at (0,0) [ellipse, minimum height=2cm,minimum width=2.5cm] {}; |
c336a253ae7b
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parents:
955
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\draw[dashed] (c.north) -- (c.south); |
c336a253ae7b
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parents:
955
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changeset
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\node[right=6] at (c) {$g$}; |
c336a253ae7b
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parents:
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changeset
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\node[left=6] at (c) {$f$}; |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
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45 |
\end{tikzpicture} & = |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
|
46 |
\begin{tikzpicture}[baseline] |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
|
47 |
\node[draw] (c) at (0,0) [ellipse, minimum height=2cm,minimum width=2.5cm] {}; |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
|
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\node[right=9] at (c) {$g$}; |
c336a253ae7b
more work on figures, in the sandbox
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parents:
955
diff
changeset
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\node[left=9] at (c) {$f$}; |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
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changeset
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\draw[dashed] (c.north) to[out=-115,in=115] (c.south) to[out=65,in=-65] (c.north); |
c336a253ae7b
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Scott Morrison <scott@tqft.net>
parents:
955
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changeset
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\begin{scope} |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
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changeset
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\path[clip] (c.north) to[out=-115,in=115] (c.south) to[out=65,in=-65] (c.north); |
c336a253ae7b
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parents:
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changeset
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\foreach \y in {1,0.86,...,-1} { |
c336a253ae7b
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parents:
955
diff
changeset
|
54 |
\draw[green!50!brown] (-1,\y)--(1,\y); |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
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} |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
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changeset
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\end{scope} |
c336a253ae7b
more work on figures, in the sandbox
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parents:
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changeset
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\draw[->,blue] (.75,-1.25) node[below] {$a \times I$} -- (0,-0.25); |
c336a253ae7b
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parents:
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\end{tikzpicture} \\ |
c336a253ae7b
more work on figures, in the sandbox
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parents:
955
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changeset
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\begin{tikzpicture}[baseline] |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
|
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\node[draw] (c) at (0,0) [ellipse, minimum height=2cm,minimum width=2.5cm] {}; |
c336a253ae7b
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parents:
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changeset
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\draw[dashed] (c.north) -- (c.south); |
c336a253ae7b
more work on figures, in the sandbox
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parents:
955
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changeset
|
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\node[right=18] at (c) {$g$}; |
c336a253ae7b
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parents:
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changeset
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\node[left=10] at (c) {$f$}; |
c336a253ae7b
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parents:
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changeset
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\fill (0,0.4) node (p1) {} circle (2pt); |
c336a253ae7b
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parents:
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changeset
|
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\fill (0,-0.4) node (p2) {} circle (2pt); |
c336a253ae7b
more work on figures, in the sandbox
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parents:
955
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changeset
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\begin{scope}[decoration={brace,amplitude=5,aspect=0.5}] |
c336a253ae7b
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parents:
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changeset
|
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\draw[decorate] (p1.east) -- node[right=0.5ex] {\scriptsize $a$} (p2.east); |
c336a253ae7b
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parents:
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changeset
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\end{scope} |
c336a253ae7b
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parents:
955
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changeset
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\end{tikzpicture} & = |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
|
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\begin{tikzpicture}[baseline] |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
|
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\node[draw] (c) at (0,0) [ellipse, minimum height=2cm,minimum width=2.5cm] {}; |
c336a253ae7b
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parents:
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changeset
|
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\node[draw,dashed] (d) at (0,0) [circle, minimum height=1cm,minimum width=1cm] {}; |
c336a253ae7b
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parents:
955
diff
changeset
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\draw[dashed] (c.north) -- (d.north) (d.south) -- (c.south); |
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parents:
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diff
changeset
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\node[right=18] at (c) {$g$}; |
c336a253ae7b
more work on figures, in the sandbox
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parents:
955
diff
changeset
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\node[left=18] at (c) {$f$}; |
c336a253ae7b
more work on figures, in the sandbox
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parents:
955
diff
changeset
|
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\clip (0,0) circle (0.5cm); |
c336a253ae7b
more work on figures, in the sandbox
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parents:
955
diff
changeset
|
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\foreach \y in {1,0.86,...,-1} { |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
|
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\draw[green!50!brown] (-1,\y)--(1,\y); |
c336a253ae7b
more work on figures, in the sandbox
Scott Morrison <scott@tqft.net>
parents:
955
diff
changeset
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} |
c336a253ae7b
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parents:
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\end{tikzpicture} \\ |
c336a253ae7b
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parents:
955
diff
changeset
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\end{align*} |
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\begin{tikzpicture} |
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\node[circle,fill=black,inner sep=1pt] (A) at (1.73,0) {}; |
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\node[circle,fill=black,inner sep=1pt] (B) at (-1.73,0) {}; |
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\draw[dashed] (A) -- (B); |
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\node[circle,fill=black,inner sep=1pt] (C) at (0,0) {}; |
|
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\node[circle,fill=black,inner sep=1pt] (D) at (0.8,0) {}; |
|
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\begin{scope}[yshift=-1cm] |
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\path[clip] (0,0) circle (2); |
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\begin{scope}[yshift=2cm] |
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\draw (0,0) circle (2); |
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\node[circle,fill=black,inner sep=1pt] (L2) at (-90:2) {}; |
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\node[circle,fill=black,inner sep=1pt] (L1) at (-120:2) {}; |
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\end{scope} |
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\end{scope} |
|
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\begin{scope}[yshift=1cm] |
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\path[clip] (0,0) circle (2); |
|
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\begin{scope}[yshift=-2cm] |
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\draw (0,0) circle (2); |
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\node[circle,fill=black,inner sep=1pt] (U) at (90:2) {}; |
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\end{scope} |
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\end{scope} |
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\begin{scope} |
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\path[clip] (0,1) circle (2); |
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\path[clip] (0,-1) circle (2); |
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||
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\end{scope} |
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\end{tikzpicture} |
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\end{document} |