Update file5_f(x,y)=(y-x)(1-2x-3y).py

1 files changed, 13 insertions, 9 deletions

diff --git a/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py b/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py
index 8a90990..41c3b61 100644
--- a/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py
+++ b/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py
@@ -1,25 +1,29 @@
 from manimlib.imports import*
 
+#---- visualization of the function 
 class ExampleAnimation(ThreeDScene):
     def construct(self):
         axes = ThreeDAxes()
+        label_x = TextMobject("$x$").shift([5.5,-0.5,0]) #---- x axis
+        label_y = TextMobject("$y$").shift([-0.5,5.5,0]).rotate(-4.5) #---- y axis     
 
-        f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL)        
-
-        #----f(x,y) = (y-x)(1-2x-3y)
-        f = ParametricSurface(
+        #---- f(x,y) = (y-x)(1-2x-3y)
+        surface = ParametricSurface(
             lambda u, v: np.array([
                 u,
                 v,
                 (v-u)*(1-2*u-3*v)
-            ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [PURPLE_B,PURPLE_C,PURPLE_D, PURPLE_E],
-            resolution=(20, 20)).scale(1).fade(0.2).shift([0.2,0.2,0])     
+            ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [PURPLE_B,PURPLE_C,PURPLE_D, PURPLE_E]).scale(1).fade(0.2).shift([0.2,0.2,0])   
+
+        f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL)    
         
-        self.set_camera_orientation(phi = 75 * DEGREES,theta= 60*DEGREES)
+        self.set_camera_orientation(phi = 60 * DEGREES, theta = 75 * DEGREES)
         self.begin_ambient_camera_rotation(rate=0.1)
-
         self.add_fixed_in_frame_mobjects(f_text)
         self.wait(1) 
         self.add(axes)
+        self.add(label_x)
+        self.add(label_y)
+        self.wait(1)
         self.play(Write(f))
-        self.wait(3)
+        self.wait(4)