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(-0.05663,0.44071); \draw[foamWeb] (-1.92500,-0.24735)--(-1.53609,1.18627)--(-0.24735,1.92500); \draw[foamWeb] (-1.92500,-0.24735)--(-1.18627,-1.53609)--(0.24735,-1.92500); \draw[foamWeb] (-1.92500,-0.24735)--(-0.89684,-0.11524)--(-0.44071,-0.05663); \draw[foamWeb] (-0.24735,1.92500)--(-0.11524,0.89684)--(-0.05663,0.44071); \draw[foamWeb] (-0.24735,1.92500)--(1.18627,1.53609)--(1.92500,0.24735); \draw[foamWeb] (0.44071,0.05663)--(0.29666,-0.22910)--(0.05663,-0.44071); \draw[foamWeb] (0.44071,0.05663)--(0.22910,0.29666)--(-0.05663,0.44071); \draw[foamWeb] (0.44071,0.05663)--(0.89684,0.11524)--(1.92500,0.24735); \draw[foamWeb] (0.05663,-0.44071)--(0.11524,-0.89684)--(0.24735,-1.92500); \draw[foamWeb] (0.05663,-0.44071)--(-0.22910,-0.29666)--(-0.44071,-0.05663); \draw[foamWeb] (0.24735,-1.92500)--(1.53609,-1.18627)--(1.92500,0.24735); \draw[foamWeb] (-0.05663,0.44071)--(-0.29666,0.22910)--(-0.44071,-0.05663); \fill (-1.92500,-0.24735) circle[radius=1.15pt]; \node[foamVertexLabel] at (-2.09857,-0.26966) {8}; \fill (-0.24735,1.92500) circle[radius=1.15pt]; \node[foamVertexLabel] at (-0.26966,2.09857) {9}; \fill (0.44071,0.05663) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.54180,-0.08622) {11}; \fill (0.05663,-0.44071) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.22040,-0.50240) {13}; \fill (0.24735,-1.92500) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.26966,-2.09857) {18}; \fill (-0.05663,0.44071) circle[radius=1.15pt]; \node[foamVertexLabel] at (-0.22040,0.50240) {19}; \fill (1.92500,0.24735) circle[radius=1.15pt]; \node[foamVertexLabel] at (2.09857,0.26966) {20}; \fill (-0.44071,-0.05663) circle[radius=1.15pt]; \node[foamVertexLabel] at (-0.54180,0.08622) {21}; \node[font=\small] at (0,2.37) {5. square}; \node[font=\footnotesize] at (0,-2.48) {$(8,9,19,21)$\quad $(03)(12)$}; \end{scope} \begin{scope}[shift={(10.5,-5.85)}] \fill[foamFloor] (-0.24735,1.92500)--(0.63830,0.82652)--(1.92500,0.24735)--(1.18627,1.53609)--cycle; \draw[foamSeam] (1.92500,0.24735) .. controls (1.21753,0.82813) and (0.49342,1.38735) .. (-0.24735,1.92500); \draw[foamWeb] (1.92500,0.24735)--(1.53609,-1.18627)--(0.24735,-1.92500); \draw[foamWeb] (1.92500,0.24735)--(0.63830,0.82652)--(-0.24735,1.92500); \draw[foamWeb] (1.92500,0.24735)--(1.18627,1.53609)--(-0.24735,1.92500); \draw[foamWeb] (0.24735,-1.92500)--(-0.63830,-0.82652)--(-1.92500,-0.24735); \draw[foamWeb] (0.24735,-1.92500)--(-1.18627,-1.53609)--(-1.92500,-0.24735); \draw[foamWeb] (-1.92500,-0.24735)--(-1.53609,1.18627)--(-0.24735,1.92500); \fill (1.92500,0.24735) circle[radius=1.15pt]; \node[foamVertexLabel] at (2.09857,0.26966) {11}; \fill (0.24735,-1.92500) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.26966,-2.09857) {13}; \fill (-1.92500,-0.24735) circle[radius=1.15pt]; \node[foamVertexLabel] at (-2.09857,-0.26966) {18}; \fill (-0.24735,1.92500) circle[radius=1.15pt]; \node[foamVertexLabel] at (-0.26966,2.09857) {20}; \fill[white] (0.63830,0.82652) circle[radius=3.6pt]; \fill[foamDot] (0.63830,0.82652) circle[radius=2.5pt]; \node[font=\small] at (0,2.37) {6. bigon}; \node[font=\footnotesize,align=center] at (0,-2.55) {\textcolor{foamDot}{dot for $C_{19}$}\\[-1pt]edge 1 in the record}; \end{scope} \begin{scope}[shift={(0.0,-11.7)}] \draw[foamWeb] (-1.50000,0.00000) .. controls (-0.80000,0.00000) and (0.80000,0.00000) .. (1.50000,0.00000); \draw[foamWeb] (-1.50000,0.00000) .. controls (-0.80000,1.40000) and (0.80000,1.40000) .. (1.50000,0.00000); \draw[foamWeb] (-1.50000,0.00000) .. controls (-0.80000,-1.40000) and (0.80000,-1.40000) .. (1.50000,0.00000); \fill (-1.50000,0.00000) circle[radius=1.15pt]; \node[foamVertexLabel] at (-1.67500,0.00000) {13}; \fill (1.50000,0.00000) circle[radius=1.15pt]; \node[foamVertexLabel] at (1.67500,0.00000) {18}; \fill[white] (0.00000,1.05000) circle[radius=3.6pt]; \fill[foamDot] (0.00000,1.05000) circle[radius=2.5pt]; \node[font=\small] at (0,2.37) {7. $\theta$ cap}; \node[font=\footnotesize,align=center] at (0,-2.55) {\textcolor{foamDot}{dot for $C_{14}$}\\[-1pt]edge 1 in the record}; \end{scope} \node[align=left,font=\small,text width=8.7cm,anchor=north west] at (3.0,-10.0) {$C_{14}$ and $C_{19}$ have the same undotted foam.\\[5pt]For $C_{14}$, put one dot at step 7.\\For $C_{19}$, put one dot at step 6.\\[5pt]The two orange marks are alternatives, not two dots on one foam.\\[5pt]Read $1\to7$ to obtain the reflected cap; reverse the cobordism to obtain the creation foam.}; \end{tikzpicture}