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\documentclass[11pt,leqno]{amsart}
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%\usepackage{amsthm}
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\newcommand{\pathtotrunk}{./}
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\input{text/article_preamble}
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\input{text/top_matter}
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\input{text/kw_macros}
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%\title{Blob Homology}
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\title{Sandbox}
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\begin{document}
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\begin{equation*}
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\begin{tikzpicture}
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\def\rad{1}
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\def\srad{0.75}
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\foreach \i in {0, 1, 2} {
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\node(\i) at ($\i*(4.5,0)$) {};
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}
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\draw (0) circle (\rad);
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\draw ($(1)+(1,0)$) circle (\srad);
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\draw[fill=white] (1) circle (\rad);
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\begin{scope}
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\draw[clip] (2) circle (\rad);
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\draw ($(2)+(1,0)$) circle (\srad);
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\end{scope}
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\end{tikzpicture}
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\end{equation*}
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\begin{equation*}
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\begin{tikzpicture}
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\node(M) at (0,0) {$M$};
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\foreach \angle/\label in {0/K', 45/K'L, 90/L, 135/KL, 180/K, 225/KL', 270/L', 315/K'L'} {
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\node(\label) at (\angle:4) {$\label$};
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}
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\foreach \label in {K', L, K, L'} {
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\node(\label M) at ($(M)!0.6!(\label)$) {$\label M$};
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\draw[->] (\label M)--(M);
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\draw[->] (\label M)--(\label);
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}
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\foreach \k in {K, K'} {
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\foreach \l in {L, L'} {
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\node(\k \l M) at (intersection cs: first line={(\k M)--(\l)}, second line={(\l M)--(\k)}) {$\k \l M$};
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\draw[->] (\k \l M)--(M);
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\draw[->] (\k \l M)--(\k \l );
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\draw[->] (\k \l M)--(\k M);
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\draw[->] (\k \l M)--(\l);
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\draw[->] (\k \l M)--(\l M);
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\draw[->] (\k \l M)--(\k);
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}
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}
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\draw[->] (K'L') to[bend right=10] (K');
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\draw[->] (K'L') to[bend left=10] (L');
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\draw[->] (KL') to[bend left=10] (K);
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\draw[->] (KL') to[bend right=10] (L');
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\draw[->] (K'L) to[bend left=10] (K');
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\draw[->] (K'L) to[bend right=10] (L);
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\draw[->] (KL) to[bend right=10] (K);
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\draw[->] (KL) to[bend left=10] (L);
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\end{tikzpicture}
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\end{equation*}
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\end{document}
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