Added Multivariable Function folder

1 files changed, 42 insertions, 0 deletions

diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_plot_sphere.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_plot_sphere.py
new file mode 100644
index 0000000..baf08b1
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_plot_sphere.py
@@ -0,0 +1,42 @@
+from manimlib.imports import *

+

+class Sphere(ThreeDScene):

+    def construct(self):

+        axes = ThreeDAxes() # creates a 3D Axis

+

+        sphere = ParametricSurface(

+            lambda u, v: np.array([

+                np.sin(u)*np.cos(v),

+                np.sin(u)*np.sin(v),

+                np.cos(u)

+            ]),u_min=0,u_max=PI,v_min=0,v_max=2*PI,checkerboard_colors=[RED_D, RED_E],

+            resolution=(15, 32)).scale(2)

+

+

+

+        #self.set_camera_orientation(phi=0 * DEGREES,theta=270*DEGREES)

+

+        text3d = TextMobject(r"$f(x,y) \rightarrow Point(x,y,z)$")

+        text3d1 = TextMobject(r"$f(x,y) \rightarrow Point(x,y, 1 - x^2 - y^2)$")

+        self.add_fixed_in_frame_mobjects(text3d)

+        text3d.scale(0.7)

+        text3d1.scale(0.7)

+        text3d.to_corner(UL)

+        text3d1.to_corner(UL)

+        text3d.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)

+        text3d1.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE) 

+        self.play(Write(text3d))

+        self.wait(1)

+        

+        self.play(Transform(text3d,text3d1))

+        self.add_fixed_in_frame_mobjects(text3d1)

+        self.play(FadeOut(text3d))

+

+        

+        self.set_camera_orientation(phi=75 * DEGREES)

+        self.begin_ambient_camera_rotation(rate=0.3)

+

+

+        self.add(axes)

+        self.play(Write(sphere))

+        self.wait(5)
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