diff options
| -rw-r--r-- | vorlesungen/punktgruppen/crystals.py | 22 | ||||
| -rw-r--r-- | vorlesungen/punktgruppen/script.pdf | bin | 25412 -> 25619 bytes | |||
| -rw-r--r-- | vorlesungen/punktgruppen/script.tex | 6 |
3 files changed, 21 insertions, 7 deletions
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 Binary files differindex 293b248..a701d6a 100644 --- a/vorlesungen/punktgruppen/script.pdf +++ b/vorlesungen/punktgruppen/script.pdf 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} |