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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(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]).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 = 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(4)
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