1 files changed, 47 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/scalar-functions/file3_parabola_example.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/scalar-functions/file3_parabola_example.py
new file mode 100644
index 0000000..63c16b3
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/scalar-functions/file3_parabola_example.py
@@ -0,0 +1,47 @@
+from manimlib.imports import *
+
+class Parabola(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes() # creates a 3D Axis
+
+        paraboloid = ParametricSurface(
+            lambda u, v: np.array([
+                2*np.cosh(u)*np.cos(v),
+                2*np.cosh(u)*np.sin(v),
+                2*np.sinh(u)
+            ]),v_min=0,v_max=TAU,u_min=0,u_max=2,checkerboard_colors=[YELLOW_D, YELLOW_E],#
+            resolution=(15, 32))
+
+        text3d = TextMobject(r"Plot of $f: \mathbb{R}^2 \rightarrow \mathbb{R}$", r"$z = f(x,y) = \sqrt{x^2 + y^2 - 4}$") 
+        text3d[0].move_to(4*LEFT+2*DOWN)
+        text3d[1].next_to(text3d[0], DOWN)
+        text3d[0].set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
+        text3d[1].set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE)
+
+        #self.set_camera_orientation(phi=0 * DEGREES,theta=270*DEGREES)
+        self.move_camera(phi=110* DEGREES,theta=45*DEGREES)
+
+        self.add(axes)
+
+        axis = TextMobject(r"X",r"Y",r"Z")
+        axis[0].move_to(6*RIGHT)
+        axis[1].move_to(6*UP)
+        axis[2].move_to(np.array([0,0,3.7]))
+
+        self.add_fixed_orientation_mobjects(axis[2])
+        self.add_fixed_orientation_mobjects(axis[0])
+        self.add_fixed_orientation_mobjects(axis[1]) 
+
+
+        self.play(ShowCreation(paraboloid))
+        self.add_fixed_in_frame_mobjects(text3d)
+        self.play(Write(text3d[0]))
+        self.play(Write(text3d[1]))
+        self.begin_ambient_camera_rotation(rate=0.2)
+        self.wait(3)
+        self.move_camera(phi=0 * DEGREES,theta=180*DEGREES,run_time=3)
+        self.wait(3)
+        self.move_camera(phi=110* DEGREES,theta=90*DEGREES,run_time=3)
+        self.wait(3)
+        
+        
+\ No newline at end of file