id
stringlengths 18
30
| png
imagewidth (px) 384
384
| code
stringlengths 168
481k
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|---|---|---|
example_14998_combination_4
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\end{tikzpicture}
\end{document}
|
|
example_14998_combination_22
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14998_combination_25
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14998_combination_19
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14998_combination_16
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14998_combination_11
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document}
|
|
example_14998_combination_24
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14998_combination_2
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\end{tikzpicture}
\end{document}
|
|
example_14998_combination_23
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14998_main
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (240:0.8)$) edge[bend left =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (330:0.8)$) edge[bend left =20] ($(3,3.5) + (30:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (30:0.8)$);
\path ($(5,3.5) + (330:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (30:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (330:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-30:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-330:0.8)$);
%
\path ($(11,3.5) + (330:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (30:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (75:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-75:0.8)$);
\path ($(1 + \n,3.5) + (70:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-70:0.8)$);
\path ($(1 + \n,3.5) + (65:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-65:0.8)$);
\path ($(1 + \n,3.5) + (60:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-60:0.8)$);
\path ($(1 + \n,3.5) + (55:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-55:0.8)$);
\node[color = blue, rotate = -17] at (1.4 + \n,4.45) {\footnotesize{$\overbrace{\phantom{}}^{n-1}$}};
\path ($(1 + \n,3.5) + (85:0.8)$) edge[thick, color = brown] ($(1 + \n,3.5) + (-45:0.8)$);
}
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_5
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_2
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_22
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_19
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_10
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_17
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_3
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_4
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_11
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_18
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_23
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_12
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_15
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_29
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);
%
\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (330:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (75:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-75:0.8)$);
\path ($(1 + \n,3.5) + (70:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-70:0.8)$);
\path ($(1 + \n,3.5) + (65:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-65:0.8)$);
\path ($(1 + \n,3.5) + (60:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-60:0.8)$);
\path ($(1 + \n,3.5) + (55:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-55:0.8)$);
\node[color = blue, rotate = -17] at (1.4 + \n,4.45) {\footnotesize{$\overbrace{\phantom{}}^{n-1}$}};
\path ($(1 + \n,3.5) + (85:0.8)$) edge[bend right = 30, thick, color = brown] ($(1 + \n,3.5) + (45:0.8)$);
}
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_20
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_9
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_7
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_26
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);
%
\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_14
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\end{tikzpicture}
\end{document}
|
|
example_14999_combination_8
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\end{tikzpicture}
\end{document}
|
|
example_14999_main
|
\documentclass[12 pt]{article}
\usepackage{pgfpict2e}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale = 1.3]
\draw[dashed] (1,3.5) circle [radius=0.8];
\node at (2,3.5) {=};
\draw[dashed] (3,3.5) circle [radius=0.8];
\node at (4,3.5) {$-$};
\draw[dashed] (5,3.5) circle [radius=0.8];
\node at (6,3.5) {$+$};
\draw[dashed] (7,3.5) circle [radius=0.8];
\node at (8,3.5) {$+$};
\draw[dashed] (9,3.5) circle [radius=0.8];
\node at (10,3.5) {$-$};
\draw[dashed] (11,3.5) circle [radius=0.8];
\node at (12,3.25) {;};
\foreach \n in {0,2,...,10}{
\node(center) at (1 + \n,3.5) {};
\path ($(center) + (20:0.8)$) edge[bend right =20, ultra thick] ($(center) + (40:0.8)$);
\path ($(center) + (95:0.8)$) edge[bend right =20, ultra thick] ($(center) + (125:0.8)$);
\path ($(center) + (-20:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-40:0.8)$);
\path ($(center) + (-95:0.8)$) edge[bend right =-20, ultra thick] ($(center) + (-125:0.8)$);
}
\path ($(1,3.5) + (120:0.8)$) edge[bend right =20] ($(1,3.5) + (30:0.8)$);
\path ($(1,3.5) + (-120:0.8)$) edge[bend left =20] ($(1,3.5) + (330:0.8)$);
\path ($(1,3.5) + (100:0.8)$) edge[bend left = 20] ($(1,3.5) + (260:0.8)$);
%
\path ($(3,3.5) + (110:0.8)$) edge[bend left =20] ($(3,3.5) + (-110:0.8)$);
\path ($(3,3.5) + (30:0.8)$) edge[bend right =20] ($(3,3.5) + (330:0.8)$);
%
\path ($(5,3.5) + (110:0.8)$) edge[bend right =20] ($(5,3.5) + (330:0.8)$);
\path ($(5,3.5) + (30:0.8)$) edge[bend right =20] ($(5,3.5) + (-110:0.8)$);
%
\path ($(7,3.5) + (120:0.8)$) edge[bend left = 20] ($(7,3.5) + (260:0.8)$);
\path ($(7,3.5) + (-120:0.8)$) edge[bend left = 20] ($(7,3.5) + (330:0.8)$);
\path ($(7,3.5) + (100:0.8)$) edge[bend right = 20] ($(7,3.5) + (30:0.8)$);
%
\path ($(9,3.5) + (-120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-260:0.8)$);
\path ($(9,3.5) + (120:0.8)$) edge[bend right = 20] ($(9,3.5) + (-330:0.8)$);
\path ($(9,3.5) + (-100:0.8)$) edge[bend left = 20] ($(9,3.5) + (-30:0.8)$);
%
\path ($(11,3.5) + (30:0.8)$) edge[bend left = 20] ($(11,3.5) + (100:0.8)$);
\path ($(11,3.5) + (120:0.8)$) edge[bend left = 20] ($(11,3.5) + (240:0.8)$);
\path ($(11,3.5) + (260:0.8)$) edge[bend left = 20] ($(11,3.5) + (330:0.8)$);
%-----
\foreach \n in {0,2,...,10}{
\path ($(1+ \n,3.5) + (75:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-75:0.8)$);
\path ($(1 + \n,3.5) + (70:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-70:0.8)$);
\path ($(1 + \n,3.5) + (65:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-65:0.8)$);
\path ($(1 + \n,3.5) + (60:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-60:0.8)$);
\path ($(1 + \n,3.5) + (55:0.8)$) edge[color = blue] ($(1 + \n,3.5) + (-55:0.8)$);
\node[color = blue, rotate = -17] at (1.4 + \n,4.45) {\footnotesize{$\overbrace{\phantom{}}^{n-1}$}};
\path ($(1 + \n,3.5) + (85:0.8)$) edge[bend right = 30, thick, color = brown] ($(1 + \n,3.5) + (45:0.8)$);
}
\end{tikzpicture}
\end{document}
|
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