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

1 files changed, 25 insertions, 0 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
new file mode 100644
index 0000000..8a90990
--- /dev/null
+++ b/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py
@@ -0,0 +1,25 @@
+from manimlib.imports import*
+
+class ExampleAnimation(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes()
+
+        f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL)        
+
+        #----f(x,y) = (y-x)(1-2x-3y)
+        f = 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])     
+        
+        self.set_camera_orientation(phi = 75 * DEGREES,theta= 60*DEGREES)
+        self.begin_ambient_camera_rotation(rate=0.1)
+
+        self.add_fixed_in_frame_mobjects(f_text)
+        self.wait(1) 
+        self.add(axes)
+        self.play(Write(f))
+        self.wait(3)