1 \documentclass[11pt,leqno]{amsart}

     2 

     3 %\usepackage{amsthm}

     4 

     5 \newcommand{\pathtotrunk}{./}

     6 \input{text/article_preamble}

     7 \input{text/top_matter}

     8 \input{text/kw_macros}

     9 

    10 

    11 %\title{Blob Homology}

    12 \title{Sandbox}

    13 

    14 \begin{document}

    15 \begin{equation*}

    16 \begin{tikzpicture}

    17 \def\rad{1}

    18 \def\srad{0.75}

    19 \foreach \i in {0, 1, 2} {

    20 	\node(\i) at ($\i*(4.5,0)$) {};

    21 }

    22 \draw (0) circle (\rad);

    23 

    24 \draw ($(1)+(1,0)$) circle (\srad);

    25 \draw[fill=white] (1) circle (\rad);

    26 

    27 \begin{scope}

    28 \draw[clip] (2) circle (\rad);

    29 \draw ($(2)+(1,0)$) circle (\srad);

    30 \end{scope}

    31 

    32 \end{tikzpicture}

    33 \end{equation*}

    34 

    35 \begin{equation*}

    36 \begin{tikzpicture}

    37 \node(M) at (0,0) {$M$};

    38 \foreach \angle/\label in {0/K', 45/K'L, 90/L, 135/KL, 180/K, 225/KL', 270/L', 315/K'L'} {

    39 	\node(\label) at (\angle:4) {$\label$};

    40 }

    41 \foreach \label in {K', L, K, L'} {

    42 	\node(\label M) at ($(M)!0.6!(\label)$) {$\label M$};

    43 	\draw[->] (\label M)--(M);

    44 	\draw[->] (\label M)--(\label);

    45 }

    46 \foreach \k in {K, K'} {

    47 	\foreach \l in {L, L'} {

    48 		\node(\k \l M) at (intersection cs: first line={(\k M)--(\l)}, second line={(\l M)--(\k)}) {$\k \l M$};

    49 		\draw[->] (\k \l M)--(M);

    50 		\draw[->] (\k \l M)--(\k \l );

    51 		\draw[->] (\k \l M)--(\k M);

    52 		\draw[->] (\k \l M)--(\l);

    53 		\draw[->] (\k \l M)--(\l M);

    54 		\draw[->] (\k \l M)--(\k);

    55 	}

    56 }

    57 \draw[->] (K'L') to[bend right=10] (K');

    58 \draw[->] (K'L') to[bend left=10] (L');

    59 \draw[->] (KL') to[bend left=10] (K);

    60 \draw[->] (KL') to[bend right=10] (L');

    61 \draw[->] (K'L) to[bend left=10] (K');

    62 \draw[->] (K'L) to[bend right=10] (L);

    63 \draw[->] (KL) to[bend right=10] (K);

    64 \draw[->] (KL) to[bend left=10] (L);

    65 \end{tikzpicture}

    66 \end{equation*}

    67 

    68 \end{document}