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from manimlib.imports import *
class Parabola(ThreeDScene):
def construct(self):
axes = ThreeDAxes() # creates a 3D Axis
paraboloid = ParametricSurface(
lambda u, v: np.array([
2*np.cosh(u)*np.cos(v),
2*np.cosh(u)*np.sin(v),
2*np.sinh(u)
]),v_min=0,v_max=TAU,u_min=0,u_max=2,checkerboard_colors=[YELLOW_D, YELLOW_E],
resolution=(15, 32))
text3d = TextMobject(r"Plot of $f: \mathbb{R}^2 \rightarrow \mathbb{R}$", "z = f(x,y)")
self.add_fixed_in_frame_mobjects(text3d)
text3d[0].move_to(4*LEFT+2*DOWN)
text3d[1].next_to(text3d[0], DOWN)
text3d[0].set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
text3d[1].set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE)
#self.set_camera_orientation(phi=0 * DEGREES,theta=270*DEGREES)
self.move_camera(phi=110* DEGREES,theta=45*DEGREES)
self.add(axes)
self.play(ShowCreation(paraboloid))
self.play(Write(text3d[0]))
self.play(Write(text3d[1]))
self.begin_ambient_camera_rotation(rate=0.2)
self.wait(3)
self.move_camera(phi=0 * DEGREES,theta=180*DEGREES,run_time=3)
self.wait(3)
self.move_camera(phi=110* DEGREES,theta=90*DEGREES,run_time=3)
self.wait(3)
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