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stringlengths 18
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example_15010_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\coordinate (l3) at (0, 0.5);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\coordinate (l3) at (0, 0.5);
\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);
\draw (1)node[left] {$v_\sigma$} -- (3) -- (4) -- (1) --(2)--(4)--(5)--(2);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\coordinate (l3) at (0, 0.5);
\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_14 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\coordinate (l3) at (0, 0.5);
\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);
\draw (1)node[left] {$v_\sigma$} -- (3) -- (4) -- (1) --(2)--(4)--(5)--(2);
\draw (l1) node[below, inner sep=0mm] {$\sigma$};
\draw (l2) node[above, inner sep=0mm] {$\sigma'$};
\draw (l3) node[above, inner sep=0mm] {$\sigma''$};
\foreach \i in {1,...,5} {\fill (\i) circle (2pt);};
\end{tikzpicture}
\end{document} |
|
example_15010_combination_13 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\coordinate (l3) at (0, 0.5);
\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);
\draw (1)node[left] {$v_\sigma$} -- (3) -- (4) -- (1) --(2)--(4)--(5)--(2);
\draw (l1) node[below, inner sep=0mm] {$\sigma$};
\draw (l2) node[above, inner sep=0mm] {$\sigma'$};
\draw (l3) node[above, inner sep=0mm] {$\sigma''$};
\end{tikzpicture}
\end{document} |
|
example_15010_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\end{tikzpicture}
\end{document} |
|
example_15010_combination_12 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\coordinate (l3) at (0, 0.5);
\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);
\draw (1)node[left] {$v_\sigma$} -- (3) -- (4) -- (1) --(2)--(4)--(5)--(2);
\draw (l1) node[below, inner sep=0mm] {$\sigma$};
\draw (l2) node[above, inner sep=0mm] {$\sigma'$};
\end{tikzpicture}
\end{document} |
|
example_15010_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture} [scale=1.6, inner sep=2mm]
\coordinate (1) at (0,0);
\coordinate (2) at (1,0);
\coordinate (3) at (-0.5, 1);
\coordinate (4) at (0.5, 1);
\coordinate (5) at (1.5, 1);
\coordinate (l1) at (0.5,0.5);
\coordinate (l2) at (1, 0.5);
\coordinate (l3) at (0, 0.5);
\fill[lightgray, fill opacity=0.4] (1)--(3)--(4)--(5)--(2)--(1);
\draw (1)node[left] {$v_\sigma$} -- (3) -- (4) -- (1) --(2)--(4)--(5)--(2);
\draw (l1) node[below, inner sep=0mm] {$\sigma$};
\draw (l2) node[above, inner sep=0mm] {$\sigma'$};
\draw (l3) node[above, inner sep=0mm] {$\sigma''$};
\foreach \i in {1,...,5} {\fill (\i) circle (2pt);};
\end{tikzpicture}
\end{document} |
|
example_15011_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=\textwidth/10.5cm, inner sep=2mm]
\begin{scope}
\coordinate (1) at (0,1);
\coordinate (2) at (1, 1);
\coordinate (3) at (1,0);
\coordinate (4) at (0,0);
\coordinate (6) at (1.7, 0.5);
% Fill to make it a 2-complex
\fill[lightgray, fill opacity=0.4] (2)--(6)--(3)--(2);
% Draw the 1-simplices
\draw[] (4)--(1)--(2)--(3)--(4);
\draw[] (2)--(6)node[right] {$v_\tau$}--(3)node[below] {$v_\sigma$};
% Draw all of the vertices
\foreach \i in {1, ..., 4, 6} {\fill (\i) circle (1.5pt);}
%Contracting simplex
\draw[line width=3] (3)--(6);
\foreach \i in {3, 6} {\fill (\i) circle (2pt);}
\node at (1.5,0.85){$\tau$};
\node[left, inner sep=1mm] at (1,0.5){$\sigma$};
%Arrow to next
\draw[->, line width=2] (2.5, 0.5) -- (3.0, 0.5);
\end{scope}
\end{tikzpicture}
\end{document} |
|
example_15011_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=\textwidth/10.5cm, inner sep=2mm]
\begin{scope}
\coordinate (1) at (0,1);
\coordinate (2) at (1, 1);
\coordinate (3) at (1,0);
\coordinate (4) at (0,0);
\coordinate (6) at (1.7, 0.5);
% Fill to make it a 2-complex
\fill[lightgray, fill opacity=0.4] (2)--(6)--(3)--(2);
% Draw the 1-simplices
\draw[] (4)--(1)--(2)--(3)--(4);
\draw[] (2)--(6)node[right] {$v_\tau$}--(3)node[below] {$v_\sigma$};
% Draw all of the vertices
\foreach \i in {1, ..., 4, 6} {\fill (\i) circle (1.5pt);}
%Contracting simplex
\draw[line width=3] (3)--(6);
\foreach \i in {3, 6} {\fill (\i) circle (2pt);}
\node at (1.5,0.85){$\tau$};
\node[left, inner sep=1mm] at (1,0.5){$\sigma$};
%Arrow to next
\draw[->, line width=2] (2.5, 0.5) -- (3.0, 0.5);
\end{scope}
\begin{scope}[xshift=3.6cm]
\coordinate (1) at (0,1);
\coordinate (2) at (1, 1);
\coordinate (3) at (1,0);
\coordinate (4) at (0,0);
% Draw the 1-simplices
\draw[] (4)--(1)--(2)--(3)--(4);
% Draw all of the vertices
\foreach \i in {1, ..., 4} {\fill (\i) circle (1.5pt);}
\node[right, inner sep=1mm] at (1,0.5){$\hat{\sigma}$};
\end{scope}
\end{tikzpicture}
\end{document} |
|
example_15011_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=\textwidth/10.5cm, inner sep=2mm]
\begin{scope}
\coordinate (1) at (0,1);
\coordinate (2) at (1, 1);
\coordinate (3) at (1,0);
\coordinate (4) at (0,0);
\coordinate (6) at (1.7, 0.5);
% Fill to make it a 2-complex
\fill[lightgray, fill opacity=0.4] (2)--(6)--(3)--(2);
% Draw the 1-simplices
\draw[] (4)--(1)--(2)--(3)--(4);
\draw[] (2)--(6)node[right] {$v_\tau$}--(3)node[below] {$v_\sigma$};
% Draw all of the vertices
\foreach \i in {1, ..., 4, 6} {\fill (\i) circle (1.5pt);}
%Contracting simplex
\draw[line width=3] (3)--(6);
\foreach \i in {3, 6} {\fill (\i) circle (2pt);}
\node at (1.5,0.85){$\tau$};
\node[left, inner sep=1mm] at (1,0.5){$\sigma$};
%Arrow to next
\draw[->, line width=2] (2.5, 0.5) -- (3.0, 0.5);
\end{scope}
\begin{scope}[xshift=3.6cm]
\coordinate (1) at (0,1);
\coordinate (2) at (1, 1);
\coordinate (3) at (1,0);
\coordinate (4) at (0,0);
% Draw the 1-simplices
\draw[] (4)--(1)--(2)--(3)--(4);
% Draw all of the vertices
\foreach \i in {1, ..., 4} {\fill (\i) circle (1.5pt);}
\node[right, inner sep=1mm] at (1,0.5){$\hat{\sigma}$};
\end{scope}
\end{tikzpicture}
\end{document} |
|
example_15011_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=\textwidth/10.5cm, inner sep=2mm]
\begin{scope}
\coordinate (1) at (0,1);
\coordinate (2) at (1, 1);
\coordinate (3) at (1,0);
\coordinate (4) at (0,0);
\coordinate (6) at (1.7, 0.5);
% Fill to make it a 2-complex
\fill[lightgray, fill opacity=0.4] (2)--(6)--(3)--(2);
% Draw the 1-simplices
\draw[] (4)--(1)--(2)--(3)--(4);
\draw[] (2)--(6)node[right] {$v_\tau$}--(3)node[below] {$v_\sigma$};
% Draw all of the vertices
\foreach \i in {1, ..., 4, 6} {\fill (\i) circle (1.5pt);}
%Contracting simplex
\draw[line width=3] (3)--(6);
\foreach \i in {3, 6} {\fill (\i) circle (2pt);}
\node at (1.5,0.85){$\tau$};
\node[left, inner sep=1mm] at (1,0.5){$\sigma$};
%Arrow to next
\draw[->, line width=2] (2.5, 0.5) -- (3.0, 0.5);
\end{scope}
\begin{scope}[xshift=3.6cm]
\coordinate (1) at (0,1);
\coordinate (2) at (1, 1);
\coordinate (3) at (1,0);
\coordinate (4) at (0,0);
% Draw the 1-simplices
\draw[] (4)--(1)--(2)--(3)--(4);
% Draw all of the vertices
\foreach \i in {1, ..., 4} {\fill (\i) circle (1.5pt);}
\node[right, inner sep=1mm] at (1,0.5){$\hat{\sigma}$};
\end{scope}
\end{tikzpicture}
\end{document} |
|
example_15012_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\draw(4)--(6)node[above left, inner sep=1mm] {7}--(3); \draw (1)--(6)--(5);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_12 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\draw(4)--(6)node[above left, inner sep=1mm] {7}--(3); \draw (1)--(6)--(5);
\draw (6)--(7) node[above right, inner sep=1mm] {8}--(2); \draw (3)--(7)--(5);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_13 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\draw(4)--(6)node[above left, inner sep=1mm] {7}--(3); \draw (1)--(6)--(5);
\draw (6)--(7) node[above right, inner sep=1mm] {8}--(2); \draw (3)--(7)--(5);
\foreach \i in {1,..., 5} {\fill (\i) circle (1.8pt);};
\foreach \i in {6,7} {\fill[] (\i) circle (2.2pt);};
\end{tikzpicture}
\end{document} |
|
example_15012_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\end{tikzpicture}
\end{document} |
|
example_15012_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\end{tikzpicture}
\end{document} |
|
example_15012_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture} [scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\draw(4)--(6)node[above left, inner sep=1mm] {7}--(3); \draw (1)--(6)--(5);
\draw (6)--(7) node[above right, inner sep=1mm] {8}--(2); \draw (3)--(7)--(5);
\foreach \i in {1,..., 5} {\fill (\i) circle (1.8pt);};
\foreach \i in {6,7} {\fill[] (\i) circle (2.2pt);};
\end{tikzpicture}
\end{document} |
|
example_15013_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\draw(4)--(6) node[above left, inner sep=1mm] {8}--(7); \draw (1)--(6)--(5);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_13 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\draw(4)--(6) node[above left, inner sep=1mm] {8}--(7); \draw (1)--(6)--(5);
\draw (1)--(7) node[above right, inner sep=1mm] {7}--(2); \draw (3)--(7)--(5);
\foreach \i in {1,..., 5} {\fill (\i) circle (1.8pt);};
\foreach \i in {6,7} {\fill[] (\i) circle (2.2pt);};
\end{tikzpicture}
\end{document} |
|
example_15013_combination_12 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\draw(4)--(6) node[above left, inner sep=1mm] {8}--(7); \draw (1)--(6)--(5);
\draw (1)--(7) node[above right, inner sep=1mm] {7}--(2); \draw (3)--(7)--(5);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\end{tikzpicture}
\end{document} |
|
example_15013_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\end{tikzpicture}
\end{document} |
|
example_15013_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture} [scale=1.5, inner sep=2mm]
\coordinate (1) at (-0.1,-0.3);
\coordinate (3) at (1.1,-0.3);
\coordinate (5) at (0.55,1.85);
\coordinate (4) at (-0.7, 0.7);
\coordinate (2) at (1.7, 0.7);
\coordinate (6) at (0, 0.4);
\coordinate (7) at (1, 0.4);
\draw[dashed] (2)--(4);
\fill[lightgray, fill opacity=0.4] (5) --(4) --(1) -- (3) -- (2) --(5);
\draw (5) node[above] {5} --(4) node[left]{4}--(1) node[below] {1} -- (3) node[below] {3} -- (2) node[right]{2}--(5);
\draw(4)--(6) node[above left, inner sep=1mm] {8}--(7); \draw (1)--(6)--(5);
\draw (1)--(7) node[above right, inner sep=1mm] {7}--(2); \draw (3)--(7)--(5);
\foreach \i in {1,..., 5} {\fill (\i) circle (1.8pt);};
\foreach \i in {6,7} {\fill[] (\i) circle (2.2pt);};
\end{tikzpicture}
\end{document} |
|
example_15014_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\draw (2)--(0.65,0);
\fill[lightgray, fill opacity=0.4] (4)--(1)--(6);
\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5};
\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \draw (1) -- (6);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\draw (2)--(0.65,0);
\fill[lightgray, fill opacity=0.4] (4)--(1)--(6);
\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5};
\end{tikzpicture}
\end{document} |
|
example_15014_combination_13 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\draw (2)--(0.65,0);
\fill[lightgray, fill opacity=0.4] (4)--(1)--(6);
\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5};
\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \draw (1) -- (6);
\draw[] (5) -- (2) node[above right] {2};
\draw[dashed] (2) -- (6); \draw[] (4) -- (2) -- (3);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_14 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\draw (2)--(0.65,0);
\fill[lightgray, fill opacity=0.4] (4)--(1)--(6);
\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5};
\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \draw (1) -- (6);
\draw[] (5) -- (2) node[above right] {2};
\draw[dashed] (2) -- (6); \draw[] (4) -- (2) -- (3);
\foreach \i in {1,...,6} {\fill (\i) circle (1.8pt);};
\end{tikzpicture}
\end{document} |
|
example_15014_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\draw (2)--(0.65,0);
\fill[lightgray, fill opacity=0.4] (4)--(1)--(6);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_12 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\draw (2)--(0.65,0);
\fill[lightgray, fill opacity=0.4] (4)--(1)--(6);
\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5};
\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \draw (1) -- (6);
\draw[] (5) -- (2) node[above right] {2};
\end{tikzpicture}
\end{document} |
|
example_15014_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\draw (2)--(0.65,0);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
\end{tikzpicture}
\end{document} |
|
example_15014_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\end{tikzpicture}
\end{document} |
|
example_15014_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture} [scale=1.5, inner sep=2mm]
\coordinate (4) at (0,0);
\coordinate (1) at (1,0);
\coordinate (2) at (0.6,0.5);
\coordinate (3) at (1.55,0.5);
\coordinate (5) at (0.8,1.5);
\coordinate (6) at (0.8,-1.2);
% 2-simplices
\fill[lightgray, fill opacity=0.4] (5)--(4)--(6)--(3)--(2)--(5);
\draw (2)--(0.65,0);
\fill[lightgray, fill opacity=0.4] (4)--(1)--(6);
\draw (3) node[right] {3} -- (1) node[below right] {1} -- (4)--(5) node[above] {5};
\draw (4) node[left] {4} -- (6) node[below] {6} -- (3); \draw (1) -- (6);
\draw[] (5) -- (2) node[above right] {2};
\draw[dashed] (2) -- (6); \draw[] (4) -- (2) -- (3);
\foreach \i in {1,...,6} {\fill (\i) circle (1.8pt);};
\end{tikzpicture}
\end{document} |
|
example_15015_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);
\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);
\end{tikzpicture}
\end{document} |
|
example_15015_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\end{tikzpicture}
\end{document} |
|
example_15015_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);
\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);
\draw[dashed] (3)--(2);
\draw[dotted] (4)--(1)--(5); \draw[dotted] (1)node[right] {1}--(6);
\end{tikzpicture}
\end{document} |
|
example_15015_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\end{tikzpicture}
\end{document} |
|
example_15015_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);
\end{tikzpicture}
\end{document} |
|
example_15015_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);
\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);
\draw[dashed] (3)--(2);
\draw[dotted] (4)--(1)--(5); \draw[dotted] (1)node[right] {1}--(6);
\foreach \i in {1,...,6} {\fill (\i) circle (3.5pt);};
\end{tikzpicture}
\end{document} |
|
example_15015_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);
\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);
\draw[dashed] (3)--(2);
\end{tikzpicture}
\end{document} |
|
example_15015_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\end{tikzpicture}
\end{document} |
|
example_15015_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\end{tikzpicture}
\end{document} |
|
example_15015_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\end{tikzpicture}
\end{document} |
|
example_15015_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\end{tikzpicture}
\end{document} |
|
example_15015_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture} [scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (5)--(3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5}--(2);
\draw (6) node[left] {6} -- (2) node[right] {2}-- (4) --(3) --(1);
\draw[dashed] (3)--(2);
\draw[dotted] (4)--(1)--(5); \draw[dotted] (1)node[right] {1}--(6);
\foreach \i in {1,...,6} {\fill (\i) circle (3.5pt);};
\end{tikzpicture}
\end{document} |
|
example_15016_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 1);
\coordinate (4) at (0, -1);
\coordinate (5) at (1.44, 0);
\end{tikzpicture}
\end{document} |
|
example_15016_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 1);
\coordinate (4) at (0, -1);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\end{tikzpicture}
\end{document} |
|
example_15016_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 1);
\coordinate (4) at (0, -1);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (3);
\end{tikzpicture}
\end{document} |
|
example_15016_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 1);
\coordinate (4) at (0, -1);
\end{tikzpicture}
\end{document} |
|
example_15016_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 1);
\end{tikzpicture}
\end{document} |
|
example_15016_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 1);
\coordinate (4) at (0, -1);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (3);
\draw (6) node[left] {6};
\end{tikzpicture}
\end{document} |
|
example_15016_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 1);
\coordinate (4) at (0, -1);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (3);
\draw (6) node[left] {6};
\foreach \i in {3,...,6} {\fill (\i) circle (3.5pt);};
\end{tikzpicture}
\end{document} |
|
example_15016_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture} [scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 1);
\coordinate (4) at (0, -1);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (3);
\draw (6) node[left] {6};
\foreach \i in {3,...,6} {\fill (\i) circle (3.5pt);};
\end{tikzpicture}
\end{document} |
|
example_15017_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (1) --(3);
\end{tikzpicture}
\end{document} |
|
example_15017_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (1) --(3);
\draw (2) node[right] {8}; \draw (6) node[left] {6} -- (1)--(3);\draw (4)--(1) node[right] {7}--(6)--(2);
\draw[dashed] (5)--(3);
\end{tikzpicture}
\end{document} |
|
example_15017_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (1) --(3);
\draw (2) node[right] {8}; \draw (6) node[left] {6} -- (1)--(3);\draw (4)--(1) node[right] {7}--(6)--(2);
\end{tikzpicture}
\end{document} |
|
example_15017_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\end{tikzpicture}
\end{document} |
|
example_15017_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\end{tikzpicture}
\end{document} |
|
example_15017_combination_2 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\end{tikzpicture}
\end{document} |
|
example_15017_combination_5 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\end{tikzpicture}
\end{document} |
|
example_15017_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (1) --(3);
\draw (2) node[right] {8}; \draw (6) node[left] {6} -- (1)--(3);\draw (4)--(1) node[right] {7}--(6)--(2);
\draw[dashed] (5)--(3);
\draw[dotted] (5)--(2)--(4); \draw[loosely dotted] (3)--(2);
\foreach \i in {1,...,6} {\fill (\i) circle (3.5pt);};
\end{tikzpicture}
\end{document} |
|
example_15017_combination_4 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\end{tikzpicture}
\end{document} |
|
example_15017_combination_3 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\end{tikzpicture}
\end{document} |
|
example_15017_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}
[scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (1) --(3);
\draw (2) node[right] {8}; \draw (6) node[left] {6} -- (1)--(3);\draw (4)--(1) node[right] {7}--(6)--(2);
\draw[dashed] (5)--(3);
\draw[dotted] (5)--(2)--(4); \draw[loosely dotted] (3)--(2);
\end{tikzpicture}
\end{document} |
|
example_15017_main | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture} [scale=0.8, inner sep=2mm]
\coordinate (3) at (0, 0.6);
\coordinate (4) at (0, -0.6);
\coordinate (5) at (1.44, 0);
\coordinate (6) at (3, 0) ;
\coordinate (1) at (2, 2);
\coordinate (2) at (2, -2);
\draw (3) node[left] {3} -- (4) node[left] {4}-- (5) node[below] {5} -- (1) --(3);
\draw (2) node[right] {8}; \draw (6) node[left] {6} -- (1)--(3);\draw (4)--(1) node[right] {7}--(6)--(2);
\draw[dashed] (5)--(3);
\draw[dotted] (5)--(2)--(4); \draw[loosely dotted] (3)--(2);
\foreach \i in {1,...,6} {\fill (\i) circle (3.5pt);};
\end{tikzpicture}
\end{document} |
|
example_15018_combination_10 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=1.6, inner sep=2mm]
\foreach \i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}
\fill (\i*360/9:1) coordinate (\i) circle(1.5 pt);
\fill (1.4,0.5) coordinate (a) circle(1.5 pt);
\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);
\draw[very thick] (3) -- (4) --(5);
\draw[very thick] (8)--(9) --(1)--(1.7);
\draw[dashed] (1) --(a)--(9);
%Labels
\coordinate (s) at (-0.7,0.7);
\draw (s) node[left ] {$s$};
\coordinate (A) at (0.85, 0.4);
\draw (A) node[right ] {$A$};
\end{tikzpicture}
\end{document} |
|
example_15018_combination_7 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=1.6, inner sep=2mm]
\foreach \i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}
\fill (\i*360/9:1) coordinate (\i) circle(1.5 pt);
\fill (1.4,0.5) coordinate (a) circle(1.5 pt);
\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);
\draw[very thick] (3) -- (4) --(5);
\draw[very thick] (8)--(9) --(1)--(1.7);
\draw[dashed] (1) --(a)--(9);
%Labels
\coordinate (s) at (-0.7,0.7);
\end{tikzpicture}
\end{document} |
|
example_15018_combination_9 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=1.6, inner sep=2mm]
\foreach \i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}
\fill (\i*360/9:1) coordinate (\i) circle(1.5 pt);
\fill (1.4,0.5) coordinate (a) circle(1.5 pt);
\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);
\draw[very thick] (3) -- (4) --(5);
\draw[very thick] (8)--(9) --(1)--(1.7);
\draw[dashed] (1) --(a)--(9);
%Labels
\coordinate (s) at (-0.7,0.7);
\draw (s) node[left ] {$s$};
\coordinate (A) at (0.85, 0.4);
\end{tikzpicture}
\end{document} |
|
example_15018_combination_8 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=1.6, inner sep=2mm]
\foreach \i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}
\fill (\i*360/9:1) coordinate (\i) circle(1.5 pt);
\fill (1.4,0.5) coordinate (a) circle(1.5 pt);
\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);
\draw[very thick] (3) -- (4) --(5);
\draw[very thick] (8)--(9) --(1)--(1.7);
\draw[dashed] (1) --(a)--(9);
%Labels
\coordinate (s) at (-0.7,0.7);
\draw (s) node[left ] {$s$};
\end{tikzpicture}
\end{document} |
|
example_15018_combination_1 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=1.6, inner sep=2mm]
\foreach \i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}
\fill (\i*360/9:1) coordinate (\i) circle(1.5 pt);
\end{tikzpicture}
\end{document} |
|
example_15018_combination_6 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=1.6, inner sep=2mm]
\foreach \i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}
\fill (\i*360/9:1) coordinate (\i) circle(1.5 pt);
\fill (1.4,0.5) coordinate (a) circle(1.5 pt);
\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);
\draw[very thick] (3) -- (4) --(5);
\draw[very thick] (8)--(9) --(1)--(1.7);
\draw[dashed] (1) --(a)--(9);
\end{tikzpicture}
\end{document} |
|
example_15018_combination_11 | \documentclass[a4paper,oneside]{amsart}
\usepackage{tikz}
\usepackage{amssymb}
\usepackage{amsmath, mathtools}
\begin{document}
\begin{tikzpicture}[scale=1.6, inner sep=2mm]
\foreach \i in {1, 2, ..., 5, 1.7, 2.3, 6, 6.5, 7, 8, 9}
\fill (\i*360/9:1) coordinate (\i) circle(1.5 pt);
\fill (1.4,0.5) coordinate (a) circle(1.5 pt);
\fill[lightgray, fill opacity=0.4](1) --(a)--(9) --(1);
\draw[very thick] (3) -- (4) --(5);
\draw[very thick] (8)--(9) --(1)--(1.7);
\draw[dashed] (1) --(a)--(9);
%Labels
\coordinate (s) at (-0.7,0.7);
\draw (s) node[left ] {$s$};
\coordinate (A) at (0.85, 0.4);
\draw (A) node[right ] {$A$};
\coordinate (t) at (0.9, 0.3);
\end{tikzpicture}
\end{document} |
Subsets and Splits