Create example.py

1 files changed, 33 insertions, 0 deletions

diff --git a/FSF-2020/approximations-and-optimizations/Critical Points/example.py b/FSF-2020/approximations-and-optimizations/Critical Points/example.py
new file mode 100644
index 0000000..0ff4c15
--- /dev/null
+++ b/FSF-2020/approximations-and-optimizations/Critical Points/example.py
@@ -0,0 +1,33 @@
+from manimlib.imports import*
+
+class ExampleAnimation(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes()
+
+        #----f(x,y) = (y-x)(1-2x-3y)
+        e = 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_D, PURPLE_E],
+            resolution=(20, 20)).scale(1)
+        
+        self.set_camera_orientation(phi = 35 * DEGREES, theta = -40* DEGREES)
+        
+        f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL)
+        d = Dot(np.array([0,0,0]), color = '#800000')  #---- Critical Point
+        d_text = TextMobject("$(0.2,0.2)$",color = '#DC143C').scale(0.5).shift(0.2*UP)  #----x = 0.2, y = 0.2
+        r_text = TextMobject("Critical Point",color = '#00FFFF').shift(0.3*DOWN).scale(0.6)
+
+        self.add_fixed_in_frame_mobjects(f_text)
+        self.wait(2)
+        self.add(axes)
+        self.play(Write(e))
+        self.wait(2)
+        self.play(ShowCreation(d))
+        self.wait(1)
+        self.add_fixed_in_frame_mobjects(d_text)
+        self.wait(1)
+        self.add_fixed_in_frame_mobjects(r_text)
+        self.wait(3)