mirror of
https://github.com/MartinThoma/LaTeX-examples.git
synced 2025-04-19 11:38:05 +02:00
TikZ'en eines Bildes mit Hilfe von Jérôme Urhausen (Email vom 10.02.2014)
This commit is contained in:
Martin Thoma
parent
8060803050
commit
0c091d8906
6 changed files with 97 additions and 71 deletions
|
|
@ -73,4 +73,5 @@ in dem Erstellen dieses Skripts steckt:
|
|||
|07.02.2014 | 19:30 - 21:20 | Textsetzung, kleine Fehler und Verbesserung eines Bildes
|
||||
|10.02.2014 | 10:30 - 11:05 | Formulierung in Definitionen vereinfacht; Textsetzung
|
||||
|10.02.2014 | 11:05 - 11:20 | Verbesserungen von Marco, Email vom 10.02.2014, eingefügt.
|
||||
|10.02.2014 | 11:40 - 13:20 | Verbesserungen von Jérôme Urhausen, Email vom 10.02.2014, eingefügt.
|
||||
|10.02.2014 | 11:40 - 13:20 | Verbesserungen von Jérôme Urhausen, Email vom 10.02.2014, eingefügt.
|
||||
|11.02.2014 | 05:30 - 06:00 | TikZ'en eines Bildes mit Hilfe von Jérôme Urhausen (Email vom 10.02.2014)
|
||||
Binary file not shown.
|
|
@ -775,8 +775,8 @@ Differenzierbare Mannigfaltigkeiten der Klasse $C^\infty$ werden auch
|
|||
\parbox[c][3cm]{4cm}{\centering\input{figures/topology-graph-k-3-3.tex}}
|
||||
\label{fig:k-3-3}
|
||||
}%
|
||||
\label{fig:graphen-beispiele}
|
||||
\caption{Beispiele für Graphen}
|
||||
\label{fig:graphen-beispiele}
|
||||
\end{figure}
|
||||
|
||||
\begin{bemerkung}
|
||||
|
|
@ -824,8 +824,8 @@ Differenzierbare Mannigfaltigkeiten der Klasse $C^\infty$ werden auch
|
|||
\parbox{4cm}{\centering\input{figures/topology-graph-tetraeder-area-2.tex}}
|
||||
\label{fig:topology-simplizial-complex-k-division}
|
||||
}%
|
||||
\label{fig:simplex-unterteilung-beispiel}
|
||||
\caption{Beispiel für \cref{kor:simplex-unterteilung}.}
|
||||
\label{fig:simplex-unterteilung-beispiel}
|
||||
\end{figure}
|
||||
|
||||
\begin{beweis}
|
||||
|
|
@ -849,12 +849,14 @@ Differenzierbare Mannigfaltigkeiten der Klasse $C^\infty$ werden auch
|
|||
\item Sind $P_1$ und $P_2$ konvexe Polygone und $T_1, T_2$
|
||||
die zugehörigen Triangulierungen von $S^2$, so gibt es
|
||||
eine eine Triangulierungen $T$, die sowohl um $T_1$ als
|
||||
auch um $T_2$ Verfeinerung ist.
|
||||
auch um $T_2$ Verfeinerung ist (vgl. \cref{fig:topology-3}).
|
||||
|
||||
\begin{center}
|
||||
\begin{figure}[htp]
|
||||
\centering
|
||||
\input{figures/topology-3.tex}\todo{Was bedeutet diese Zeichnung?}
|
||||
\end{center}
|
||||
\input{figures/topology-3.tex}
|
||||
\caption{$T$ ist eine Triangulierung, die für $T_1$ und $T_2$ eine Verfeinerung ist.}
|
||||
\label{fig:topology-3}
|
||||
\end{figure}
|
||||
|
||||
Nach \cref{kor:simplex-unterteilung} ist
|
||||
$\chi(\partial P_1) = \chi(T_1) = \chi(T) = \chi(T_2) = \chi(\partial P_2) = 2$,
|
||||
|
|
|
|||
|
|
@ -28,48 +28,59 @@
|
|||
\pgfdeclarelayer{foreground}
|
||||
\pgfsetlayers{background,main,foreground}
|
||||
\begin{tikzpicture}
|
||||
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
|
||||
\tikzstyle{smallpoint}=[circle,thick,draw=red,fill=red,inner sep=0pt,minimum width=3pt,minimum height=3pt]
|
||||
\begin{pgfonlayer}{foreground}
|
||||
\node (a)[point] at (0,0) {};
|
||||
\node (b)[point] at (2,0) {};
|
||||
\node (c)[point] at (3,0.5) {};
|
||||
\node (d)[point] at (0,3) {};
|
||||
\node (e)[point] at (2,3) {};
|
||||
\node (f)[point] at (3,1.5) {};
|
||||
\node (g)[point] at (2,2.5) {};
|
||||
\node (h)[point] at (1,1.5) {};
|
||||
\end{pgfonlayer}
|
||||
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
|
||||
|
||||
\draw (h.center) -- (e.center) -- (f.center) -- (b.center) -- cycle;
|
||||
\draw (h.center) -- (f.center);
|
||||
|
||||
\draw[green, densely dashed] (a.center) -- (d.center) -- (g.center) -- (c.center) -- cycle;
|
||||
\draw[green, densely dashed] (a.center) -- (g.center);
|
||||
\tkzDefPoints{0/0/A, 2/0/B, 3/0.5/C, 0/3/D, 2/3/E, 3/1.5/F, 2/2/G, 1/1.5/H}
|
||||
|
||||
\begin{pgfonlayer}{foreground}
|
||||
\node (x)[point, red,fill=red] at (1.79,0.31) {};
|
||||
\node (x1)[smallpoint] at (1.2,1.5) {};
|
||||
\node (x2)[smallpoint] at (1.71,2.56) {};
|
||||
\node (x3)[smallpoint] at (2.5,1.5) {};
|
||||
\node (x4)[smallpoint] at (2.72,1.06) {};
|
||||
\end{pgfonlayer}
|
||||
\draw[blue, densely dotted] (x.center) -- (x1.center);
|
||||
\draw[blue, densely dotted] (x.center) -- (x2.center);
|
||||
\draw[blue, densely dotted] (x.center) -- (x3.center);
|
||||
\draw[blue, densely dotted] (x.center) -- (x4.center);
|
||||
%Get intersections
|
||||
\tkzInterLL(B,H)(A,C) \tkzGetPoint{I}
|
||||
\tkzInterLL(B,F)(A,C) \tkzGetPoint{J}
|
||||
\tkzInterLL(A,G)(B,H) \tkzGetPoint{K}
|
||||
\tkzInterLL(A,G)(H,F) \tkzGetPoint{L}
|
||||
\tkzInterLL(C,G)(B,F) \tkzGetPoint{M}
|
||||
\tkzInterLL(C,G)(H,F) \tkzGetPoint{N}
|
||||
\tkzInterLL(G,D)(H,E) \tkzGetPoint{O}
|
||||
|
||||
\tkzDrawPoints[color=green,fill=green](A,C,G,D)
|
||||
\tkzDrawPoints[color=blue,fill=blue](B,F,E,H)
|
||||
\tkzDrawPoints[color=red,fill=red](I,J,K,L,M,N,O)
|
||||
\end{pgfonlayer}
|
||||
|
||||
\tkzDrawPolygon[blue,very thick](H,E,F,B)
|
||||
\tkzDrawSegment[blue,very thick](H,F)
|
||||
|
||||
\tkzDrawPolygon[green,very thick](A,D,G,C)
|
||||
\tkzDrawSegment[green,very thick](A,G)
|
||||
|
||||
\tkzDrawSegments[red,very thick](I,M I,N I,L A,H H,D L,O N,E G,E)
|
||||
|
||||
% \tkzLabelPoint(A){A}
|
||||
% \tkzLabelPoint(B){B}
|
||||
% \tkzLabelPoint(C){C}
|
||||
% \tkzLabelPoint(D){D}
|
||||
% \tkzLabelPoint(E){E}
|
||||
% \tkzLabelPoint(F){F}
|
||||
% \tkzLabelPoint(G){G}
|
||||
% \tkzLabelPoint(H){H}
|
||||
% \tkzLabelPoint(I){I}
|
||||
% \tkzLabelPoint(J){J}
|
||||
% \tkzLabelPoint(K){K}
|
||||
% \tkzLabelPoint(L){L}
|
||||
% \tkzLabelPoint(M){M}
|
||||
% \tkzLabelPoint(N){N}
|
||||
% \tkzLabelPoint(O){O}
|
||||
|
||||
\begin{customlegend}[
|
||||
legend entries={
|
||||
$T_1$,
|
||||
$T_2$,
|
||||
$?$
|
||||
$T$
|
||||
},
|
||||
legend style={at={(4.5,3.5)},font=\footnotesize}] % <= to define position and font legend
|
||||
% the following are the "images" and numbers in the legend
|
||||
\addlegendimage{black}
|
||||
\addlegendimage{green,densely dashed}
|
||||
\addlegendimage{blue, densely dotted}
|
||||
\addlegendimage{blue,very thick}
|
||||
\addlegendimage{green,very thick}
|
||||
\addlegendimage{red,very thick}
|
||||
\end{customlegend}
|
||||
\end{tikzpicture}
|
||||
\end{tikzpicture}
|
||||
Binary file not shown.
|
Before Width: | Height: | Size: 27 KiB After Width: | Height: | Size: 26 KiB |
|
|
@ -1,10 +1,11 @@
|
|||
\documentclass[varwidth=true, border=2pt]{standalone}
|
||||
\usepackage{tikz}
|
||||
\usepackage{tkz-euclide}
|
||||
\usetikzlibrary{calc,shadings}
|
||||
\usepackage{pgfplots}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\usetkzobj{all}
|
||||
\newenvironment{customlegend}[1][]{%
|
||||
\begingroup
|
||||
% inits/clears the lists (which might be populated from previous
|
||||
|
|
@ -35,49 +36,60 @@
|
|||
\pgfdeclarelayer{foreground}
|
||||
\pgfsetlayers{background,main,foreground}
|
||||
\begin{tikzpicture}
|
||||
\tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
|
||||
\tikzstyle{smallpoint}=[circle,thick,draw=red,fill=red,inner sep=0pt,minimum width=3pt,minimum height=3pt]
|
||||
\begin{pgfonlayer}{foreground}
|
||||
\node (a)[point] at (0,0) {};
|
||||
\node (b)[point] at (2,0) {};
|
||||
\node (c)[point] at (3,0.5) {};
|
||||
\node (d)[point] at (0,3) {};
|
||||
\node (e)[point] at (2,3) {};
|
||||
\node (f)[point] at (3,1.5) {};
|
||||
\node (g)[point] at (2,2.5) {};
|
||||
\node (h)[point] at (1,1.5) {};
|
||||
\end{pgfonlayer}
|
||||
\tkzSetUpPoint[shape=circle,size=10,color=black,fill=black]
|
||||
|
||||
\draw (h.center) -- (e.center) -- (f.center) -- (b.center) -- cycle;
|
||||
\draw (h.center) -- (f.center);
|
||||
|
||||
\draw[green, densely dashed] (a.center) -- (d.center) -- (g.center) -- (c.center) -- cycle;
|
||||
\draw[green, densely dashed] (a.center) -- (g.center);
|
||||
\tkzDefPoints{0/0/A, 2/0/B, 3/0.5/C, 0/3/D, 2/3/E, 3/1.5/F, 2/2/G, 1/1.5/H}
|
||||
|
||||
\begin{pgfonlayer}{foreground}
|
||||
\node (x)[point, red,fill=red] at (1.79,0.31) {};
|
||||
\node (x1)[smallpoint] at (1.2,1.5) {};
|
||||
\node (x2)[smallpoint] at (1.71,2.56) {};
|
||||
\node (x3)[smallpoint] at (2.5,1.5) {};
|
||||
\node (x4)[smallpoint] at (2.72,1.06) {};
|
||||
\end{pgfonlayer}
|
||||
\draw[blue, densely dotted] (x.center) -- (x1.center);
|
||||
\draw[blue, densely dotted] (x.center) -- (x2.center);
|
||||
\draw[blue, densely dotted] (x.center) -- (x3.center);
|
||||
\draw[blue, densely dotted] (x.center) -- (x4.center);
|
||||
%Get intersections
|
||||
\tkzInterLL(B,H)(A,C) \tkzGetPoint{I}
|
||||
\tkzInterLL(B,F)(A,C) \tkzGetPoint{J}
|
||||
\tkzInterLL(A,G)(B,H) \tkzGetPoint{K}
|
||||
\tkzInterLL(A,G)(H,F) \tkzGetPoint{L}
|
||||
\tkzInterLL(C,G)(B,F) \tkzGetPoint{M}
|
||||
\tkzInterLL(C,G)(H,F) \tkzGetPoint{N}
|
||||
\tkzInterLL(G,D)(H,E) \tkzGetPoint{O}
|
||||
|
||||
\tkzDrawPoints[color=green,fill=green](A,C,G,D)
|
||||
\tkzDrawPoints[color=blue,fill=blue](B,F,E,H)
|
||||
\tkzDrawPoints[color=red,fill=red](I,J,K,L,M,N,O)
|
||||
\end{pgfonlayer}
|
||||
|
||||
\tkzDrawPolygon[blue,very thick](H,E,F,B)
|
||||
\tkzDrawSegment[blue,very thick](H,F)
|
||||
|
||||
\tkzDrawPolygon[green,very thick](A,D,G,C)
|
||||
\tkzDrawSegment[green,very thick](A,G)
|
||||
|
||||
\tkzDrawSegments[red,very thick](I,M I,N I,L A,H H,D L,O N,E G,E)
|
||||
|
||||
% \tkzLabelPoint(A){A}
|
||||
% \tkzLabelPoint(B){B}
|
||||
% \tkzLabelPoint(C){C}
|
||||
% \tkzLabelPoint(D){D}
|
||||
% \tkzLabelPoint(E){E}
|
||||
% \tkzLabelPoint(F){F}
|
||||
% \tkzLabelPoint(G){G}
|
||||
% \tkzLabelPoint(H){H}
|
||||
% \tkzLabelPoint(I){I}
|
||||
% \tkzLabelPoint(J){J}
|
||||
% \tkzLabelPoint(K){K}
|
||||
% \tkzLabelPoint(L){L}
|
||||
% \tkzLabelPoint(M){M}
|
||||
% \tkzLabelPoint(N){N}
|
||||
% \tkzLabelPoint(O){O}
|
||||
|
||||
\begin{customlegend}[
|
||||
legend entries={
|
||||
$T_1$,
|
||||
$T_2$,
|
||||
$?$
|
||||
$T$
|
||||
},
|
||||
legend style={at={(4.5,3.5)},font=\footnotesize}] % <= to define position and font legend
|
||||
% the following are the "images" and numbers in the legend
|
||||
\addlegendimage{black}
|
||||
\addlegendimage{green,densely dashed}
|
||||
\addlegendimage{blue, densely dotted}
|
||||
\addlegendimage{blue,very thick}
|
||||
\addlegendimage{green,very thick}
|
||||
\addlegendimage{red,very thick}
|
||||
\end{customlegend}
|
||||
\end{tikzpicture}
|
||||
\end{document}
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue