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\node[foamVertexLabel] at (1.30975,-1.64394) {13}; \fill (0.12359,-0.66875) circle[radius=1.15pt]; \node[foamVertexLabel] at (-0.02244,-0.57232) {15}; \fill (0.27005,0.10121) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.29035,0.27503) {17}; \fill (1.80435,0.67623) circle[radius=1.15pt]; \node[foamVertexLabel] at (1.96822,0.73764) {21}; \node[font=\small] at (0,2.37) {5. triangle}; \node[font=\footnotesize] at (0,-2.48) {$(5,13,15)$}; \end{scope} \begin{scope}[shift={(10.5,-5.85)}] \fill[foamFloor] (-1.81569,0.90667)--(-1.92500,-0.64278)--(-0.90667,-1.81569)--(-0.54290,-0.75692)--(-0.41911,-0.13995)--(-0.88876,0.27887)--cycle; \draw[foamSeam] (-1.81569,0.90667)--(-1.08302,-0.36163); \draw[foamSeam] (-0.90667,-1.81569)--(-1.08302,-0.36163); \draw[foamSeam] (-0.41911,-0.13995)--(-1.08302,-0.36163); \fill[foamBlue] (-1.08302,-0.36163) circle[radius=1.7pt]; \draw[foamWeb] (-1.81569,0.90667)--(-1.92500,-0.64278)--(-0.90667,-1.81569); \draw[foamWeb] (-1.81569,0.90667)--(-0.88876,0.27887)--(-0.41911,-0.13995); \draw[foamWeb] (-1.81569,0.90667)--(-0.64278,1.92500)--(0.90667,1.81569); \draw[foamWeb] (-0.90667,-1.81569)--(-0.54290,-0.75692)--(-0.41911,-0.13995); \draw[foamWeb] (-0.90667,-1.81569)--(0.64278,-1.92500)--(1.81569,-0.90667); \draw[foamWeb] (-0.41911,-0.13995)--(-0.00000,0.00000)--(0.41911,0.13995); \draw[foamWeb] (1.81569,-0.90667)--(0.88876,-0.27887)--(0.41911,0.13995); \draw[foamWeb] (1.81569,-0.90667)--(1.92500,0.64278)--(0.90667,1.81569); \draw[foamWeb] (0.41911,0.13995)--(0.54290,0.75692)--(0.90667,1.81569); \fill (-1.81569,0.90667) circle[radius=1.15pt]; \node[foamVertexLabel] at (-1.97226,0.98485) {6}; \fill (-0.90667,-1.81569) circle[radius=1.15pt]; \node[foamVertexLabel] at (-0.98485,-1.97226) {7}; \fill (-0.41911,-0.13995) circle[radius=1.15pt]; \node[foamVertexLabel] at (-0.58510,-0.19537) {8}; \fill (1.81569,-0.90667) circle[radius=1.15pt]; \node[foamVertexLabel] at (1.97226,-0.98485) {17}; \fill (0.41911,0.13995) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.58510,0.19537) {21}; \fill (0.90667,1.81569) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.98485,1.97226) {22}; \node[font=\small] at (0,2.37) {6. triangle}; \node[font=\footnotesize] at (0,-2.48) {$(6,7,8)$}; \end{scope} \begin{scope}[shift={(0.0,-11.7)}] \fill[foamFloor] (-1.92500,-0.22649)--(-0.76635,-1.78035)--(1.15865,-1.55385)--(0.40301,-0.54047)--(-0.00000,-0.00000)--(-0.66957,-0.07878)--cycle; \draw[foamSeam] (1.15865,-1.55385)--(-0.29988,-0.69666); \draw[foamSeam] (-1.92500,-0.22649)--(-0.29988,-0.69666); \draw[foamSeam] (-0.00000,-0.00000)--(-0.29988,-0.69666); \fill[foamBlue] (-0.29988,-0.69666) circle[radius=1.7pt]; \draw[foamWeb] (1.15865,-1.55385)--(-0.76635,-1.78035)--(-1.92500,-0.22649); \draw[foamWeb] (1.15865,-1.55385)--(0.40301,-0.54047)--(-0.00000,-0.00000); \draw[foamWeb] (1.15865,-1.55385)--(1.92500,0.22649)--(0.76635,1.78035); \draw[foamWeb] (-1.92500,-0.22649)--(-0.66957,-0.07878)--(-0.00000,-0.00000); \draw[foamWeb] (-1.92500,-0.22649)--(-1.15865,1.55385)--(0.76635,1.78035); \draw[foamWeb] (-0.00000,-0.00000)--(0.26656,0.61925)--(0.76635,1.78035); \fill (1.15865,-1.55385) circle[radius=1.15pt]; \node[foamVertexLabel] at (1.26326,-1.69414) {17}; \fill (-1.92500,-0.22649) circle[radius=1.15pt]; \node[foamVertexLabel] at (-2.09880,-0.24694) {21}; \fill (-0.00000,-0.00000) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.17380,0.02045) {22}; \fill (0.76635,1.78035) circle[radius=1.15pt]; \node[foamVertexLabel] at (0.83554,1.94109) {23}; \node[font=\small] at (0,2.37) {7. triangle}; \node[font=\footnotesize] at (0,-2.48) {$(17,21,22)$}; \end{scope} \begin{scope}[shift={(5.25,-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) {23}; \fill (1.50000,0.00000) circle[radius=1.15pt]; \node[foamVertexLabel] at (1.67500,0.00000) {24}; \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) {8. $\theta$ cap}; \node[font=\footnotesize,align=center] at (0,-2.55) {\textcolor{foamDot}{dot for $B_2$}\\[-1pt]edge 1 in the record}; \end{scope} \node[align=left,font=\small,text width=4.15cm,anchor=north] at (10.5,-10.0) {$B_2$ and $B_7$ have the same undotted foam.\\[5pt]For $B_2$, use the dot at step 8; for $B_7$, use the dot at step 4.\\[5pt]Each foam has just one dot.}; \end{tikzpicture}