diff options
Diffstat (limited to 'FSF-2020/calculus/intro-to-calculus/gabriels-horn/gabriel2.py')
| -rw-r--r-- | FSF-2020/calculus/intro-to-calculus/gabriels-horn/gabriel2.py | 43 |
1 files changed, 43 insertions, 0 deletions
diff --git a/FSF-2020/calculus/intro-to-calculus/gabriels-horn/gabriel2.py b/FSF-2020/calculus/intro-to-calculus/gabriels-horn/gabriel2.py new file mode 100644 index 0000000..1e2a820 --- /dev/null +++ b/FSF-2020/calculus/intro-to-calculus/gabriels-horn/gabriel2.py @@ -0,0 +1,43 @@ +from manimlib.imports import * +class surface(GraphScene, ThreeDScene): + CONFIG = { + 'x_min': 0, + 'x_max': 10, + 'y_min': -3, + 'y_max': 3, + 'graph_origin': ORIGIN, + "x_axis_width": 10, + "y_axis_height": 10, + "default_graph_style": { + "stroke_width": 2, + "stroke_color": RED, + } + } + def construct(self): + XTD = self.x_axis_width/(self.x_max- self.x_min) + YTD = self.y_axis_height/(self.y_max- self.y_min) + + self.setup_axes() + text1 = TexMobject(r"y=\frac { 1 }{ x }").move_to(np.array([3,2,0])) + text2 = TexMobject(r"\int _{ 1 }^{ \infty }{ \frac { 1 }{ x } dx }", r"\text{ diverges}").to_corner(UL) + text3 = TexMobject(r"\text{Hence }", r"\int _{ 1 }^{ \infty }{ \frac { 1 }{ x } dx=\infty }").to_corner(UL) + text4 = TextMobject("Which means surface area is infinity").to_corner(UL) + graph1 = self.get_graph(lambda x : 1/x, x_min = 1, x_max = 10) + self.play(FadeIn(self.axes)) + self.play(ShowCreation(graph1), FadeIn(text1)) + self.wait(5) + axes = ThreeDAxes(**self.CONFIG) + self.move_camera(phi = 60*DEGREES, theta=45*DEGREES,distance = 200, run_time=5) + horn2 = ParametricSurface(lambda u, v : np.array([1*u, (1*np.cos(TAU*v))/u,(1*np.sin(TAU*v))/u]), u_min = 1, v_min = 0.001, u_max = 10, fill_opacity = 0.1) + horn3 = ParametricSurface(lambda u, v : np.array([1*u, (1*np.cos(TAU*v))/u,(1*np.sin(TAU*v))/u]), u_min = 1, v_min = 0.001, u_max = 10, fill_opacity = 1) + self.play(Transform(graph1, horn2)) + self.play(FadeOut(text1)) + self.add_fixed_in_frame_mobjects(text2) + self.wait(3) + self.play(FadeOut(text2)) + self.add_fixed_in_frame_mobjects(text3) + self.wait(3) + self.play(ShowCreation(horn3)) + self.play(FadeOut(text3)) + self.add_fixed_in_frame_mobjects(text4) + self.wait(5)
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