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-rw-r--r--vorlesungen/punktgruppen/crystals.py44
1 files changed, 36 insertions, 8 deletions
diff --git a/vorlesungen/punktgruppen/crystals.py b/vorlesungen/punktgruppen/crystals.py
index 136481b..70e1f89 100644
--- a/vorlesungen/punktgruppen/crystals.py
+++ b/vorlesungen/punktgruppen/crystals.py
@@ -16,16 +16,10 @@ config.tex_template.add_to_preamble(
class Geometric2DSymmetries(Scene):
def construct(self):
# title
- title = Tex(r"Geometrische \\ Symmetrien")
- title.scale(1.5)
- self.play(Write(title))
- self.wait()
- self.play(FadeOut(title))
- self.wait()
-
self.intro()
self.cyclic()
self.dihedral()
+ self.circle()
def intro(self):
# create square
@@ -114,7 +108,7 @@ class Geometric2DSymmetries(Scene):
r"r^3", r"r^4", r"\mathbb{1}"])
action = next(actions, MathTex(r"r"))
-
+
self.play(Create(figure))
self.play(Write(action))
self.wait()
@@ -238,6 +232,40 @@ class Geometric2DSymmetries(Scene):
self.wait(5)
self.play(FadeOut(dihedral), FadeOut(dihedral_title))
+ def circle(self):
+ circle = Circle(radius=2)
+ dot = Dot()
+ dot.move_to(2 * RIGHT)
+
+ figure = VGroup(circle, dot)
+ group_name = MathTex(r"S^1")
+
+ # create circle
+ self.play(Create(circle))
+ self.play(Create(dot))
+
+ # move it around
+ self.play(Rotate(figure, PI/3))
+ self.play(Rotate(figure, PI/6))
+ self.play(Rotate(figure, -PI/3))
+
+ # show name
+ self.play(Rotate(figure, PI/4), Write(group_name))
+ self.play(Uncreate(figure))
+
+ nsphere = MathTex(r"S^1 = \left\{z \in \mathbb{C} : |z| = 1\right\}")
+ nsphere_title = Tex(r"Kreisgruppe")
+ nsphere_title.next_to(nsphere, 2 * UP)
+
+ nsphere.scale(1.2)
+ nsphere_title.scale(1.2)
+
+ self.play(ReplacementTransform(group_name, nsphere))
+ self.play(FadeInFrom(nsphere_title, UP))
+
+ self.wait(5)
+ self.play(FadeOut(nsphere_title), FadeOut(nsphere))
+
class Geometric3DSymmetries(ThreeDScene):
def construct(self):