file2_Tangent_plane_approximation_visualization.py

Manim code for Video 2 of the lecture note on the subtopic Tangent Plane Approximations

1 files changed, 34 insertions, 0 deletions

diff --git a/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file2_Tangent_plane_approximation_visualization.py b/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file2_Tangent_plane_approximation_visualization.py
new file mode 100644
index 0000000..984db16
--- /dev/null
+++ b/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file2_Tangent_plane_approximation_visualization.py
@@ -0,0 +1,34 @@
+from manimlib.imports import*
+
+class TangenttoSurface(ThreeDScene):
+
+    def construct(self):
+        axes = ThreeDAxes() 
+        
+        #----f(x,y): x**2+y**2
+        p = ParametricSurface(
+            lambda u, v: np.array([
+                u,
+                v,
+                u**2+v**2
+            ]),v_min = -1,v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [GREEN_C,GREEN_D],
+            resolution = (20, 20)).scale(1)
+        self.set_camera_orientation(phi = 75*DEGREES) 
+
+        h_text = TextMobject("The graph tends to coincide with its tangent plane").scale(0.5).to_corner(UL)
+        d = Dot([0,0,0],color ='#800000')  #----critical point
+        r = Rectangle(height = 2,breadth = 1,color = YELLOW).scale(0.5) #----tangent plane to critical point
+        line1 = DashedLine(color=RED).shift(4*UP+1.3*RIGHT).rotate(1.571,UP).scale(1.2)
+        line2 = DashedLine(color=RED).shift(4*UP-1.3*RIGHT).rotate(1.571,UP).scale(1.2) 
+
+        r2 = Rectangle(height = 2, breadth = 1,color = GREEN, fill_opacity=0.3).scale(0.5)
+
+        self.add(axes)
+        self.play(Write(r))
+        self.play(Write(p),Write(d))
+        self.play(ShowCreation(line1),ShowCreation(line2))
+        self.wait(2)
+        
+        self.play(FadeOut(line1),FadeOut(line2),ReplacementTransform(p,r2))
+        self.add_fixed_in_frame_mobjects(h_text)
+        self.wait(1)