From 4c2a0d4d394dbb85222f480d271aa2171f0f201c Mon Sep 17 00:00:00 2001
From: Nao Pross <np@0hm.ch>
Date: Fri, 23 Apr 2021 20:18:45 +0200
Subject: Change brace animation

---
 vorlesungen/punktgruppen/crystals.py |  22 ++++++++++++++++------
 vorlesungen/punktgruppen/script.pdf  | Bin 25412 -> 25619 bytes
 vorlesungen/punktgruppen/script.tex  |   6 +++++-
 3 files changed, 21 insertions(+), 7 deletions(-)

(limited to 'vorlesungen')

diff --git a/vorlesungen/punktgruppen/crystals.py b/vorlesungen/punktgruppen/crystals.py
index 76dee1f..136481b 100644
--- a/vorlesungen/punktgruppen/crystals.py
+++ b/vorlesungen/punktgruppen/crystals.py
@@ -377,14 +377,14 @@ class AlgebraicSymmetries(Scene):
 
         hom_brace = Brace(hom_bracegrp, direction=RIGHT)
         hom_text = Tex("Homomorphismus").next_to(hom_brace.get_tip(), RIGHT)
-        hom_text_short = MathTex(r"G \simeq Z_4").next_to(hom_brace.get_tip(), RIGHT)
+        hom_text_short = MathTex(r"\mathrm{Hom}(G, Z_4)").next_to(hom_brace.get_tip(), RIGHT)
 
         self.play(Create(hom_brace))
         self.play(Write(hom_text))
         self.play(ReplacementTransform(hom_text, hom_text_short))
         self.wait()
 
-        self.play(FadeOut(hom_brace), FadeOut(hom_text_short))
+        # self.play(FadeOut(hom_brace), FadeOut(hom_text_short))
 
         # add the isomorphism part
         isomorphism = Tex(r"\(\phi\) ist bijektiv")
@@ -397,8 +397,9 @@ class AlgebraicSymmetries(Scene):
         iso_text = Tex("Isomorphismus").next_to(iso_brace.get_tip(), RIGHT)
         iso_text_short = MathTex("Z_4 \cong G").next_to(iso_brace.get_tip(), RIGHT)
 
-        self.play(Create(iso_brace))
-        self.play(Write(iso_text))
+        self.play(
+            ReplacementTransform(hom_brace, iso_brace),
+            ReplacementTransform(hom_text_short, iso_text))
         self.wait()
 
         self.play(ReplacementTransform(iso_text, iso_text_short))
@@ -464,9 +465,18 @@ class AlgebraicSymmetries(Scene):
         self.wait(3)
 
     def matrices(self):
-        question = MathTex(r"D_n \cong \,? \\ S_n \cong \,? \\ A_n \cong \,?")
-        question.scale(1.5)
+        question = MathTex(
+            r"D_n &\cong \,? \\"
+            r"S_n &\cong \,? \\"
+            r"A_n &\cong \,?").scale(1.5)
+
+        answer = MathTex(
+            r"D_n &\cong \,?\\"
+            r"S_4 &\cong \mathrm{Aut}(Q_8) \\"
+            r"A_5 &\cong \mathrm{PSL}_2 (5)").scale(1.5)
 
         self.play(Write(question))
+        self.wait()
+        self.play(ReplacementTransform(question, answer))
 
         self.wait(3)
diff --git a/vorlesungen/punktgruppen/script.pdf b/vorlesungen/punktgruppen/script.pdf
index 293b248..a701d6a 100644
Binary files a/vorlesungen/punktgruppen/script.pdf and b/vorlesungen/punktgruppen/script.pdf differ
diff --git a/vorlesungen/punktgruppen/script.tex b/vorlesungen/punktgruppen/script.tex
index 2a6d95c..fe095fb 100644
--- a/vorlesungen/punktgruppen/script.tex
+++ b/vorlesungen/punktgruppen/script.tex
@@ -3,7 +3,7 @@
 \usepackage[cm]{manuscript}
 \usepackage{xcolor}
 
-\newcommand{\scene}[1]{\noindent[ #1 ]\par}
+\newcommand{\scene}[1]{\par\noindent[ #1 ]\par}
 \newenvironment{totranslate}{\color{blue!70!black}}{}
 
 \begin{document}
@@ -56,6 +56,10 @@ We'll start with geometric symmetries as they are the simplest to grasp.
 \scene{Alternierende Gruppe}
 
 \section{Algebra}
+\begin{totranslate}
+Let's now move into something seemingly unrelated: \emph{algebra}.
+\scene{Complex numbers and cyclic groups}
+\end{totranslate}
 
 \section{Krystalle}
 
-- 
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