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authorSaarth Deshpande2020-06-19 15:33:32 +0530
committerSaarth Deshpande2020-06-19 15:33:32 +0530
commitc8177571dd518e95dfbaab70ab06f2584a42b9ce (patch)
treeca94b06aff9901dbe16485d95f3ebc88856f96f0 /FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/space-curves/file3_circletosphere.py
parentc6da725924409e6a92cff4f51d6ce17ce256b078 (diff)
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Diffstat (limited to 'FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/space-curves/file3_circletosphere.py')
-rw-r--r--FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/space-curves/file3_circletosphere.py45
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diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/space-curves/file3_circletosphere.py b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/space-curves/file3_circletosphere.py
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index 0000000..6c0e810
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/space-curves/file3_circletosphere.py
@@ -0,0 +1,45 @@
+from manimlib.imports import *
+
+class sphere(GraphScene, ThreeDScene):
+ CONFIG = {
+ 'x_min': -10,
+ 'x_max': 10,
+ 'y_min': -10,
+ 'y_max': 10,
+ 'graph_origin': ORIGIN,
+ "x_axis_width": 10,
+ "y_axis_height": 10,
+ }
+ 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)
+ circleeqn = TextMobject(r'Hence, $x^{2} + y^{2} = 2(r^{2} - u^{2})$')
+ plottext = TextMobject(r'$x = \sqrt{r^{2} - u^{2}}cos\theta$ \\ $y = \sqrt{r^{2} - u^{2}}sin\theta$').shift(2*UP + 3*RIGHT)
+
+
+ self.setup_axes()
+ self.play(FadeIn(self.axes), FadeIn(plottext))
+
+ dots = []
+ for t in range(19):
+ dot = Dot().shift((3*XTD*np.cos(t), 3*YTD*np.sin(t),0))
+ dots.append(dot)
+ self.play(FadeIn(dot), run_time = 0.2)
+ dots = VGroup(*dots)
+ circle = Circle(radius = 3*XTD).set_color(WHITE).set_stroke(width = 10)
+ self.play(FadeIn(circle), FadeOut(dots), FadeOut(plottext))
+ self.wait(2)
+
+
+ axes = ThreeDAxes(**self.CONFIG)
+ sph = Sphere(radius = 3).scale(0.5)
+ text2 = TextMobject(r'Setting $u = 3$,\\$z = u$').shift(4*YTD*UP + 5*XTD*RIGHT)
+
+ self.play(Transform(self.axes,axes), ReplacementTransform(circle, sph))
+ self.add(text2)
+ self.wait(2)
+ self.remove(text2)
+ self.move_camera(phi = 60*DEGREES, theta=45*DEGREES,run_time=5)
+ self.begin_ambient_camera_rotation(rate=0.03)
+ self.play(FadeOut(axes), FadeOut(sph), FadeOut(self.axes))
+ self.wait(1)