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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)
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)
#----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_D, PURPLE_E],
resolution=(20, 20)).scale(1)
self.set_camera_orientation(phi = 75 * DEGREES)
self.begin_ambient_camera_rotation(rate=0.5)
self.add_fixed_in_frame_mobjects(f_text)
self.wait(1)
self.add(axes)
self.play(Write(f),Write(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)
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