From 90ef643e08df0d62f4e1124040f7676fb8e7dbce Mon Sep 17 00:00:00 2001
From: Nao Pross <np@0hm.ch>
Date: Wed, 14 Apr 2021 21:04:36 +0200
Subject: Add doc to write presentation script

---
 vorlesungen/punktgruppen/script.tex | 47 +++++++++++++++++++++++++++++++++++++
 1 file changed, 47 insertions(+)
 create mode 100644 vorlesungen/punktgruppen/script.tex

(limited to 'vorlesungen/punktgruppen/script.tex')

diff --git a/vorlesungen/punktgruppen/script.tex b/vorlesungen/punktgruppen/script.tex
new file mode 100644
index 0000000..e4fc63c
--- /dev/null
+++ b/vorlesungen/punktgruppen/script.tex
@@ -0,0 +1,47 @@
+\documentclass[a4paper]{article}
+
+\usepackage[cm]{manuscript}
+\usepackage{xcolor}
+
+\newcommand{\scene}[1]{\noindent[ #1 ]\par}
+\newenvironment{totranslate}{\color{red!60!black}}{}
+
+\begin{document}
+
+\section{Intro}
+
+\section{Geometrie}
+\scene{Intro}
+\scene{Zyklische Gruppe}
+
+\begin{totranslate}
+  Let's now focus our attention on the simplest class of simmetries: those
+  generated only by a rotation. We'll describe the symmetries with a group
+  \(G\), and we'll write that it is generated by a rotation \(r\) with these
+  angle brackets.
+  
+  Take this shape as an example.  By applying the rotation \emph{action} 5
+  times, it seems as if we had not done anything, furthermore, if we \emph{act}
+  with higher ``powers'' \(r\), they will have the same effect as one of the
+  previous action.  Thus the group only contain the identity and the powers of
+  \(r\) up to 4.
+  
+  In general, groups with this structure are known as the
+  ``Cyclic Groups'' of order \(n\), where the action \(r\) can be applied
+  \(n-1\) times before wrapping around.
+\end{totranslate}
+
+\scene{Diedergruppe}
+
+\begin{totranslate}
+  Okay that was not difficult, now let's spice this up a bit.
+\end{totranslate}
+
+\scene{Symmetrische Gruppe}
+\scene{Alternierende Gruppe}
+
+\section{Algebra}
+
+\section{Krystalle}
+
+\end{document}
-- 
cgit v1.2.1

