From 3db817e0a6575dea79c01906afad5460ef60006a Mon Sep 17 00:00:00 2001
From: Nao Pross <np@0hm.ch>
Date: Mon, 5 Jul 2021 13:42:45 +0200
Subject: Externalize tikzpicture in symmetry section
---
buch/papers/punktgruppen/Makefile | 3 +-
.../punktgruppen/figures/symmetric-shapes.pdf | Bin 0 -> 12790 bytes
buch/papers/punktgruppen/symmetry.tex | 48 +----------------
buch/papers/punktgruppen/tikz/symmetric-shapes.tex | 59 +++++++++++++++++++++
4 files changed, 63 insertions(+), 47 deletions(-)
create mode 100644 buch/papers/punktgruppen/figures/symmetric-shapes.pdf
create mode 100644 buch/papers/punktgruppen/tikz/symmetric-shapes.tex
(limited to 'buch/papers/punktgruppen')
diff --git a/buch/papers/punktgruppen/Makefile b/buch/papers/punktgruppen/Makefile
index 3960d76..f92dc95 100644
--- a/buch/papers/punktgruppen/Makefile
+++ b/buch/papers/punktgruppen/Makefile
@@ -15,7 +15,8 @@ TIKZFIGURES := \
tikz/lattice.tex \
tikz/piezo-atoms.tex \
tikz/piezo.tex \
- tikz/projections.tex
+ tikz/projections.tex \
+ tikz/symmetric-shapes.tex
FIGURES := $(patsubst tikz/%.tex, figures/%.pdf, $(TIKZFIGURES))
diff --git a/buch/papers/punktgruppen/figures/symmetric-shapes.pdf b/buch/papers/punktgruppen/figures/symmetric-shapes.pdf
new file mode 100644
index 0000000..03a05ce
Binary files /dev/null and b/buch/papers/punktgruppen/figures/symmetric-shapes.pdf differ
diff --git a/buch/papers/punktgruppen/symmetry.tex b/buch/papers/punktgruppen/symmetry.tex
index aa3f7fb..e173f8e 100644
--- a/buch/papers/punktgruppen/symmetry.tex
+++ b/buch/papers/punktgruppen/symmetry.tex
@@ -16,50 +16,7 @@ ist das Konzept der Symmetrie eigentlich viel allgemeiner.
\begin{figure}
\centering
- \begin{tikzpicture}[
- node distance = 2cm,
- shapetheme/.style = {
- very thick, draw = black, fill = magenta!20!white,
- minimum size = 2cm,
- },
- line/.style = {thick, draw = darkgray},
- axis/.style = {line, dashed},
- dot/.style = {
- circle, draw = darkgray, fill = darkgray,
- minimum size = 1mm, inner sep = 0, outer sep = 0,
- },
- ]
-
- \node[
- shapetheme,
- rectangle
- ] (R) {};
- \node[dot] at (R) {};
- \draw[axis] (R) ++(-1.5, 0) to ++(3, 0) node[right] {\(\sigma\)};
-
- \node[
- shapetheme,
- regular polygon,
- regular polygon sides = 5,
- right = of R,
- ] (Ps) {};
- \node[dot] (P) at (Ps) {};
- \draw[line, dotted] (P) to ++(18:1.5);
- \draw[line, dotted] (P) to ++(90:1.5);
- \draw[line, ->] (P) ++(18:1.2)
- arc (18:90:1.2) node[midway, above right] {\(r, 72^\circ\)};
-
- \node[
- shapetheme,
- circle, right = of P
- ] (Cs) {};
- \node[dot] (C) at (Cs) {};
- \draw[line, dotted] (C) to ++(1.5,0);
- \draw[line, dotted] (C) to ++(60:1.5);
- \draw[line, ->] (C) ++(1.2,0)
- arc (0:60:1.2) node[midway, above right] {\(r, \alpha\)};
-
- \end{tikzpicture}
+ \includegraphics{papers/punktgruppen/figures/symmetric-shapes}
\caption{
Beispiele für geometrisch symmetrische Formen.
\label{fig:punktgruppen:geometry-example}
@@ -91,8 +48,7 @@ Mit dem oben Gesagten können wir das \(n\)-Gon Beispiel formalisieren. Wenn wir
\(r\) eine Drehung von \(2\pi/n\) sein lassen, gibt es eine wohlbekannte Symmetriegruppe
\[
C_n = \langle r \rangle
- = \left\{\mathds{1}, r, r^2, \ldots, r^{n-1}\right\},
-\]
+ = \left\{\mathds{1}, r, r^2, \ldots, r^{n-1}\right\}, \]
die zyklische Gruppe heisst. Hier die Potenzen von \(r\) sind als wiederholte
Komposition gemeint, d.h. \(r^n = r\circ r \circ \cdots r\circ r\). Die
Schreibweise mit den spitzen Klammern wird als Erzeugendensystem bezeichnet.
diff --git a/buch/papers/punktgruppen/tikz/symmetric-shapes.tex b/buch/papers/punktgruppen/tikz/symmetric-shapes.tex
new file mode 100644
index 0000000..b2c051f
--- /dev/null
+++ b/buch/papers/punktgruppen/tikz/symmetric-shapes.tex
@@ -0,0 +1,59 @@
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+
+\usetikzlibrary{arrows}
+\usetikzlibrary{shapes.geometric}
+\usetikzlibrary{intersections}
+\usetikzlibrary{math}
+\usetikzlibrary{positioning}
+\usetikzlibrary{arrows.meta}
+\usetikzlibrary{shapes.misc}
+\usetikzlibrary{calc}
+
+\begin{document}
+ \begin{tikzpicture}[
+ node distance = 2cm,
+ shapetheme/.style = {
+ very thick, draw = black, fill = magenta!20!white,
+ minimum size = 2cm,
+ },
+ line/.style = {thick, draw = darkgray},
+ axis/.style = {line, dashed},
+ dot/.style = {
+ circle, draw = darkgray, fill = darkgray,
+ minimum size = 1mm, inner sep = 0, outer sep = 0,
+ },
+ ]
+
+ \node[
+ shapetheme, rectangle
+ ] (R) {};
+ \node[dot] at (R) {};
+ \draw[axis] (R) ++(-1.5, 0) to ++(3, 0) node[right] {\(\sigma\)};
+
+ \node[
+ shapetheme,
+ regular polygon,
+ regular polygon sides = 5,
+ right = of R,
+ ] (Ps) {};
+ \node[dot] (P) at (Ps) {};
+ \draw[line, dotted] (P) to ++(18:1.5);
+ \draw[line, dotted] (P) to ++(90:1.5);
+ \draw[line, ->] (P) ++(18:1.2)
+ arc (18:90:1.2) node[midway, above right] {\(r, 72^\circ\)};
+
+ \node[
+ shapetheme,
+ circle, right = of P
+ ] (Cs) {};
+ \node[dot] (C) at (Cs) {};
+ \draw[line, dotted] (C) to ++(1.5,0);
+ \draw[line, dotted] (C) to ++(60:1.5);
+ \draw[line, ->] (C) ++(1.2,0)
+ arc (0:60:1.2) node[midway, above right] {\(r, \alpha\)};
+
+ \end{tikzpicture}
+\end{document}
--
cgit v1.2.1