\documentclass[a4paper,11pt]{article}

\usepackage{ngerman}
\usepackage{amsmath,amsfonts,amssymb,amsthm}

\usepackage{tikz}
\usetikzlibrary{arrows,chains,matrix,positioning,scopes}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{math}

\def\O{\mathcal{O}}
\def\sort{\mathrm{sort}}
\def\scan{\mathrm{scan}}
\def\dist{\mathrm{dist}}
\def\Z{\mathbb{Z}}
\def\Q{\mathbb{Q}}
\def\R{\mathbb{R}}
\def\E{\mathbb{E}}


\begin{document}


\textbf{Aufgabe 2}
\begin{center}
	\begin{tikzpicture}[auto=left,every node/.style={circle,inner sep=1pt,minimum size=1pt}]
	\draw (0,0) circle (1cm);
	\foreach \a in {1,...,10}{
		\draw (\a*360/10: 1cm) node[fill]{};
	}
	
	\begin{scope}[shift={(2,0)}]
	\draw (0,0) circle (1cm);
	\foreach \a in {1,...,12}{
		\draw (\a*360/12: 1cm) node[fill]{};
	}
	\end{scope}
	
	\begin{scope}[shift={(4,0)}]
	\draw (0,0) circle (1cm);
	\foreach \a in {1,...,10}{
		\draw (\a*360/10: 1cm) node[fill]{};
	}
	\end{scope}
	\end{tikzpicture}
\end{center}


\textbf{Aufgabe 6}
\begin{center}
	\begin{tikzpicture}[scale=0.8]
	\draw (0,2) -- (0,3);
	\draw (1,1) -- (1,3);
	\draw (2,0) -- (2,3);
	\draw (3,0) -- (3,3);
	\draw (4,0) -- (4,2);
	\draw (5,0) -- (5,1);
	\draw (0,3) -- (3,3);
	\draw (0,2) -- (4,2);
	\draw (1,1) -- (5,1);
	\draw (2,0) -- (5,0);
	\end{tikzpicture}
\end{center}


\textbf{Aufgabe 7}
\begin{center}
	\begin{tikzpicture}[every node/.style={fill,circle,inner sep=1pt,minimum size=4pt}]
	%Knoten
	\foreach \x in {0,...,5}
	\foreach \y in {0,...,4}
	{\node[draw=black]  (\x\y) at (\x,\y) {};}
	\node[draw=black]  (0-1) at (0,-1) {};
	\node[draw=black]  (1-1) at (1,-1) {};
	
	% Kantenzug horizontal
	\foreach \y in {0,...,4}
	\draw (0,\y) -- (5,\y)
	;
	\draw (0,-1) -- (1,-1);
	
	% Kantenzug diagonal
	\draw (0,0) -- (1,-1);
	\draw (0,1) -- (1,0);
	\draw (0,2) -- (2,0);
	\draw (0,3) -- (3,0);
	\draw (0,4) -- (4,0);
	\draw (1,4) -- (5,0);
	\draw (2,4) -- (5,1);
	\draw (3,4) -- (5,2);
	\draw (4,4) -- (5,3);
	
	\draw (1,4) -- (0,3);
	\draw (2,4) -- (0,2);
	\draw (3,4) -- (0,1);
	\draw (4,4) -- (0,0);
	\draw (5,4) -- (0,-1);
	\draw (5,3) -- (1,-1);
	\draw (5,2) -- (3,0);
	\draw (5,1) -- (4,0);
	
	\end{tikzpicture}
\end{center}


\end{document}